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@book{BenderBook,
Author = {C. M. Bender and S. A. Orszag},
Date-Added = {2020-07-28 09:59:40 +0200},
Date-Modified = {2020-07-28 09:59:40 +0200},
Publisher = {Springer},
Title = {Advanced Mathematical Methods for Scientists and Engineers: Asymptotics Methods and Perturbation Theory},
Year = {1978}}
@article{Gill_1986,
Author = {Gill, Peter M. W. and Radom, Leo},
Date = {1986-11-28},
Doi = {10.1016/0009-2614(86)80686-8},
Journal = {Chem. Phys. Lett.},
Number = {1},
Pages = {16--22},
Title = {Deceptive convergence in {M{\o}ller-Plesset} perturbation energies},
Volume = {132},
Bdsk-Url-1 = {https://doi.org/10.1016/0009-2614(86)80686-8}}
@article{Gill_1988,
Author = {Gill, Peter M. W. and Pople, John A. and Radom, Leo and Nobes, Ross H.},
Date = {1988-12-15},
Doi = {10.1063/1.455312},
Journal = {J. Chem. Phys.},
Number = {12},
Pages = {7307--7314},
Title = {Why does unrestricted {M{\o}ller-Plesset} perturbation theory converge so slowly for spincontaminated wave functions?},
Volume = {89},
Bdsk-Url-1 = {https://doi.org/10.1063/1.455312}}
@article{Sergeev_2005,
Author = {Sergeev, Alexey V. and Goodson, David Z. and Wheeler, Steven E. and Allen, Wesley D.},
Date = {2005-08-08},
Doi = {10.1063/1.1991854},
Journal = {J. Chem. Phys.},
Number = {6},
Pages = {064105},
Title = {On the nature of the {M{\o}ller-Plesset} critical point},
Volume = {123},
Bdsk-Url-1 = {https://doi.org/10.1063/1.1991854}}
@article{Sergeev_2006,
Author = {Sergeev, Alexey V. and Goodson, David Z.},
Date = {2006-03-07},
Doi = {10.1063/1.2173989},
Journal = {J. Chem. Phys.},
Number = {9},
Pages = {094111},
Title = {Singularities of {M{\o}ller-Plesset} energy functions},
Volume = {124},
Bdsk-Url-1 = {https://doi.org/10.1063/1.2173989}}
@article{Stillinger_2000,
Author = {Stillinger, Frank H.},
Date = {2000-05-31},
Doi = {10.1063/1.481608},
Journal = {J. Chem. Phys.},
Number = {22},
Pages = {9711--9715},
Title = {{M{\o}ller-Plesset} convergence issues in computational quantum chemistry},
Volume = {112},
Bdsk-Url-1 = {https://doi.org/10.1063/1.481608}}
@article{Olsen_1996,
Author = {Olsen, Jeppe and Christiansen, Ove and Koch, Henrik and J{\o}rgensen, Poul},
Date = {1996-09-01},
Doi = {10.1063/1.472352},
Journal = {J. Chem. Phys.},
Pages = {5082--5090},
Title = {Surprising cases of divergent behavior in {M{\o}ller-Plesset} perturbation theory},
Volume = {105},
Bdsk-Url-1 = {https://doi.org/10.1063/1.472352}}
@article{Olsen_2000,
Author = {Olsen, Jeppe and J{\o}rgensen, Poul and Helgaker, Trygve and Christiansen, Ove},
Date = {2000-05-31},
Doi = {10.1063/1.481611},
Journal = {J. Chem. Phys.},
Number = {22},
Pages = {9736--9748},
Title = {Divergence in {M{\o}ller-Plesset} theory: {A} simple explanation based on a two-state model},
Volume = {112},
Bdsk-Url-1 = {https://doi.org/10.1063/1.481611}}
@article{Olsen_2019,
Author = {Olsen, Jeppe and J{\o}rgensen, Poul},
Date = {2019-08-28},
Doi = {10.1063/1.5110554},
Journal = {J. Chem. Phys.},
Number = {8},
Pages = {084108},
Title = {Convergence patterns and rates in two-state perturbation expansions},
Volume = {151},
Bdsk-Url-1 = {https://doi.org/10.1063/1.5110554}}
@article{Leininger_2000,
Author = {Leininger, Matthew L. and Allen, Wesley D. and Schaefer, Henry F. and Sherrill, C. David},
Date = {2000-05-17},
Doi = {10.1063/1.481764},
Journal = {J. Chem. Phys.},
Number = {21},
Pages = {9213--9222},
Title = {Is {M{\o}ller-Plesset} perturbation theory a convergent ab initio method?},
Volume = {112},
Bdsk-Url-1 = {https://doi.org/10.1063/1.481764}}
@article{Moller_1934,
Author = {M{\o}ller, Chr. and Plesset, M. S.},
Date = {1934-10-01},
Doi = {10.1103/PhysRev.46.618},
Journal = {Phys. Rev.},
Number = {7},
Pages = {618--622},
Title = {Note on an {Approximation Treatment for Many-Electron Systems}},
Volume = {46},
Bdsk-Url-1 = {https://doi.org/10.1103/PhysRev.46.618}}
@article{Handy_1985,
Author = {Handy, N. C. and Knowles, P. J. and Somasundram, K.},
Date = {1985-07-01},
Doi = {10.1007/BF00698753},
Journal = {Theoret. Chim. Acta},
Number = {1},
Pages = {87--100},
Title = {On the convergence of the {M{\o}ller-Plesset} perturbation series},
Volume = {68},
Bdsk-Url-1 = {https://doi.org/10.1007/BF00698753}}
@article{Christiansen_1996,
Author = {Christiansen, Ove and Olsen, Jeppe and J{\o}rgensen, Poul and Koch, Henrik and Malmqvist, Per-{\AA}ke},
Date = {1996-10-18},
Doi = {10.1016/0009-2614(96)00974-8},
Journal = {Chem. Phys. Lett.},
Number = {3},
Pages = {369--378},
Title = {On the inherent divergence in the {M{\o}ller-Plesset} series. {The} neon atom --- a test case},
Urldate = {2020-07-07},
Volume = {261},
Bdsk-Url-1 = {https://doi.org/10.1016/0009-2614(96)00974-8}}
@incollection{Goodson_2004,
Author = {Goodson, David Z. and Sergeev, Alexey V.},
Booktitle = {Adv. Quantum Chem.},
Date = {2004-01-01},
Doi = {10.1016/S0065-3276(04)47011-7},
Pages = {193--208},
Publisher = {Academic Press},
Title = {Singularity Structure of {M{\o}ller-Plesset Perturbation Theory}},
Volume = {47},
Bdsk-Url-1 = {https://doi.org/10.1016/S0065-3276(04)47011-7}}
@article{Goodson_2012,
Author = {Goodson, David Z.},
Date = {2012},
Doi = {10.1002/wcms.92},
Journaltitle = {{WIREs} Comput. Mol. Sci.},
Number = {5},
Pages = {743--761},
Title = {Resummation methods},
Volume = {2},
Bdsk-Url-1 = {https://doi.org/10.1002/wcms.92}}
@article{Katz_1962,
Author = {Katz, Amnon},
Date = {1962-01-01},
Doi = {10.1016/0029-5582(62)90191-8},
Journal = {Nuclear Physics},
Pages = {353--372},
Title = {The analytic structure of many-body perturbation theory},
Urldate = {2020-07-07},
Volume = {29},
Bdsk-Url-1 = {https://doi.org/10.1016/0029-5582(62)90191-8}}
@article{Fukutome_1981,
Author = {Fukutome, Hideo},
Date = {1981},
Doi = {10.1002/qua.560200502},
Journaltitle = {J. Quantum Chem.},
Number = {5},
Pages = {955--1065},
Title = {Unrestricted {Hartree-Fock} theory and its applications to molecules and chemical reactions},
Volume = {20},
Bdsk-Url-1 = {https://doi.org/10.1002/qua.560200502}}
@article{Stillinger_1966,
Author = {Stillinger, Frank H.},
Date = {1966-11-15},
Doi = {10.1063/1.1727380},
Journal = {J. Chem. Phys.},
Number = {10},
Pages = {3623--3631},
Title = {{GroundState Energy of TwoElectron Atoms}},
Volume = {45},
Bdsk-Url-1 = {https://doi.org/10.1063/1.1727380}}
@article{Bittner_2012,
Author = {Bittner, S. and Dietz, B. and G\"unther, U. and Harney, H. L. and Miski-Oglu, M. and Richter, A. and Sch\"afer, F.},
Date-Added = {2019-01-20 22:03:11 +0100},
Date-Modified = {2019-01-21 16:25:31 +0100},
Doi = {10.1103/PhysRevLett.108.024101},
Journal = {Phys. Rev. Lett.},
Month = jan,
Number = {2},
Pages = {024101},
Title = {{PT Symmetry} and {{Spontaneous Symmetry Breaking}} in a {{Microwave Billiard}}},
Volume = {108},
Year = {2012},
Bdsk-Url-1 = {https://doi.org/10.1103/PhysRevLett.108.024101}}
@article{Chong_2011,
Author = {Chong, Y. D. and Ge, Li and Stone, A. Douglas},
Date-Added = {2019-01-20 22:03:11 +0100},
Date-Modified = {2019-01-27 20:43:12 +0100},
Doi = {10.1103/PhysRevLett.106.093902},
Journal = {Phys. Rev. Lett.},
Month = mar,
Number = {9},
Pages = {093902},
Title = {{PT Symmetry Breaking and Laser Absorber Modes in Optical Scattering Systems}},
Volume = {106},
Year = {2011},
Bdsk-Url-1 = {https://doi.org/10.1103/PhysRevLett.106.093902}}
@article{Chtchelkatchev_2012,
Author = {Chtchelkatchev, N. M. and Golubov, A. A. and Baturina, T. I. and Vinokur, V. M.},
Date-Added = {2019-01-20 22:03:11 +0100},
Date-Modified = {2019-01-21 16:26:10 +0100},
Doi = {10.1103/PhysRevLett.109.150405},
Journal = {Phys. Rev. Lett.},
Month = oct,
Number = {15},
Pages = {150405},
Title = {{Stimulation of the Fluctuation Superconductivity by PT Symmetry}},
Volume = {109},
Year = {2012},
Bdsk-Url-1 = {https://doi.org/10.1103/PhysRevLett.109.150405}}
@article{Doppler_2016,
Author = {Doppler, J\"org and Mailybaev, Alexei A. and B\"ohm, Julian and Kuhl, Ulrich and Girschik, Adrian and Libisch, Florian and Milburn, Thomas J. and Rabl, Peter and Moiseyev, Nimrod and Rotter, Stefan},
Date-Added = {2019-01-20 22:03:11 +0100},
Date-Modified = {2019-01-20 22:03:11 +0100},
Doi = {10.1038/nature18605},
Journal = {Nature},
Month = sep,
Number = {7618},
Pages = {76-79},
Title = {{Dynamically Encircling an Exceptional Point for Asymmetric Mode Switching}},
Volume = {537},
Year = {2016},
Bdsk-Url-1 = {https://doi.org/10.1038/nature18605}}
@article{Guo_2009,
Author = {Guo, A. and Salamo, G. J. and Duchesne, D. and Morandotti, R. and {Volatier-Ravat}, M. and Aimez, V. and Siviloglou, G. A. and Christodoulides, D. N.},
Date-Added = {2019-01-20 22:03:11 +0100},
Date-Modified = {2019-01-21 16:26:27 +0100},
Doi = {10.1103/PhysRevLett.103.093902},
Journal = {Phys. Rev. Lett.},
Month = aug,
Number = {9},
Pages = {093902},
Title = {Observation of {PT Symmetry Breaking in Complex Optical Potentials}},
Volume = {103},
Year = {2009},
Bdsk-Url-1 = {https://doi.org/10.1103/PhysRevLett.103.093902}}
@article{Hang_2013,
Author = {Hang, Chao and Huang, Guoxiang and Konotop, Vladimir V.},
Date-Added = {2019-01-20 22:03:11 +0100},
Date-Modified = {2019-01-21 16:26:38 +0100},
Doi = {10.1103/PhysRevLett.110.083604},
Journal = {Phys. Rev. Lett.},
Month = feb,
Number = {8},
Pages = {083604},
Title = {{PT Symmetry with a System of Three-Level Atoms}},
Volume = {110},
Year = {2013},
Bdsk-Url-1 = {https://doi.org/10.1103/PhysRevLett.110.083604}}
@article{Liertzer_2012,
Author = {Liertzer, M. and Ge, Li and Cerjan, A. and Stone, A. D. and T\"ureci, H. E. and Rotter, S.},
Date-Added = {2019-01-20 22:03:11 +0100},
Date-Modified = {2019-01-21 16:26:53 +0100},
Doi = {10.1103/PhysRevLett.108.173901},
Journal = {Phys. Rev. Lett.},
Month = apr,
Number = {17},
Pages = {173901},
Title = {{Pump-Induced Exceptional Points in Lasers}},
Volume = {108},
Year = {2012},
Bdsk-Url-1 = {https://doi.org/10.1103/PhysRevLett.108.173901}}
@article{Longhi_2010,
Author = {Longhi, Stefano},
Date-Added = {2019-01-20 22:03:11 +0100},
Date-Modified = {2019-01-21 16:27:08 +0100},
Doi = {10.1103/PhysRevLett.105.013903},
Journal = {Phys. Rev. Lett.},
Month = jun,
Number = {1},
Pages = {013903},
Title = {{Optical Realization of Relativistic Non-Hermitian Quantum Mechanics}},
Volume = {105},
Year = {2010},
Bdsk-Url-1 = {https://doi.org/10.1103/PhysRevLett.105.013903}}
@article{Peng_2014,
Author = {Peng, B. and Ozdemir, . K. and Rotter, S. and Yilmaz, H. and Liertzer, M. and Monifi, F. and Bender, C. M. and Nori, F. and Yang, L.},
Date-Added = {2019-01-20 22:03:11 +0100},
Date-Modified = {2019-01-20 22:03:11 +0100},
Doi = {10.1126/science.1258004},
Journal = {Science},
Month = oct,
Number = {6207},
Pages = {328-332},
Title = {{Loss-Induced Suppression and Revival of Lasing}},
Volume = {346},
Year = {2014},
Bdsk-Url-1 = {https://doi.org/10.1126/science.1258004}}
@article{Peng_2014a,
Author = {Peng, Bo and \"Ozdemir, {\c S}ahin Kaya and Lei, Fuchuan and Monifi, Faraz and Gianfreda, Mariagiovanna and Long, Gui Lu and Fan, Shanhui and Nori, Franco and Bender, Carl M. and Yang, Lan},
Date-Added = {2019-01-20 22:03:11 +0100},
Date-Modified = {2019-01-20 22:03:11 +0100},
Doi = {10.1038/nphys2927},
Journal = {Nat. Phys.},
Month = may,
Number = {5},
Pages = {394-398},
Title = {{Parity\textendash{}Time-Symmetric Whispering-Gallery Microcavities}},
Volume = {10},
Year = {2014},
Bdsk-Url-1 = {https://doi.org/10.1038/nphys2927}}
@article{Regensburger_2012,
Author = {Regensburger, Alois and Bersch, Christoph and Miri, Mohammad-Ali and Onishchukov, Georgy and Christodoulides, Demetrios N. and Peschel, Ulf},
Date-Added = {2019-01-20 22:03:11 +0100},
Date-Modified = {2019-01-20 22:03:11 +0100},
Doi = {10.1038/nature11298},
Journal = {Nature},
Month = aug,
Number = {7410},
Pages = {167-171},
Title = {{Parity\textendash{}Time Synthetic Photonic Lattices}},
Volume = {488},
Year = {2012},
Bdsk-Url-1 = {https://doi.org/10.1038/nature11298}}
@article{Ruter_2010,
Author = {R\"uter, Christian E. and Makris, Konstantinos G. and {El-Ganainy}, Ramy and Christodoulides, Demetrios N. and Segev, Mordechai and Kip, Detlef},
Date-Added = {2019-01-20 22:03:11 +0100},
Date-Modified = {2019-01-20 22:03:11 +0100},
Doi = {10.1038/nphys1515},
Journal = {Nat. Phys.},
Month = mar,
Number = {3},
Pages = {192-195},
Title = {{Observation of Parity\textendash{}Time Symmetry in Optics}},
Volume = {6},
Year = {2010},
Bdsk-Url-1 = {https://doi.org/10.1038/nphys1515}}
@article{Schindler_2011,
Author = {Schindler, Joseph and Li, Ang and Zheng, Mei C. and Ellis, F. M. and Kottos, Tsampikos},
Date-Added = {2019-01-20 22:03:11 +0100},
Date-Modified = {2019-01-21 16:27:21 +0100},
Doi = {10.1103/PhysRevA.84.040101},
Journal = {Phys. Rev. A},
Month = oct,
Number = {4},
Pages = {040101},
Title = {{Experimental Study of Active \emph{LRC} Circuits with PT Symmetries}},
Volume = {84},
Year = {2011},
Bdsk-Url-1 = {https://doi.org/10.1103/PhysRevA.84.040101}}
@article{Szameit_2011,
Author = {Szameit, Alexander and Rechtsman, Mikael C. and {Bahat-Treidel}, Omri and Segev, Mordechai},
Date-Added = {2019-01-20 22:03:11 +0100},
Date-Modified = {2019-01-21 16:27:31 +0100},
Doi = {10.1103/PhysRevA.84.021806},
Journal = {Phys. Rev. A},
Month = aug,
Number = {2},
Pages = {021806},
Title = {{PT-Symmetry in Honeycomb Photonic Lattice}s},
Volume = {84},
Year = {2011},
Bdsk-Url-1 = {https://doi.org/10.1103/PhysRevA.84.021806}}
@article{Zhao_2010,
Author = {Zhao, K. F. and Schaden, M. and Wu, Z.},
Date-Added = {2019-01-20 22:03:11 +0100},
Date-Modified = {2019-01-21 16:27:45 +0100},
Doi = {10.1103/PhysRevA.81.042903},
Journal = {Phys. Rev. A},
Month = apr,
Number = {4},
Pages = {042903},
Title = {{Enhanced Magnetic Resonance Signal of Spin-Polarized {{Rb}} Atoms near Surfaces of Coated Cells}},
Volume = {81},
Year = {2010},
Bdsk-Url-1 = {https://doi.org/10.1103/PhysRevA.81.042903}}
@article{Zheng_2013,
Author = {Zheng, C. and Hao, L. and Long, G. L.},
Date-Added = {2019-01-20 22:03:11 +0100},
Date-Modified = {2019-01-20 22:03:11 +0100},
Doi = {10.1098/rsta.2012.0053},
Journal = {Philos. Trans. R. Soc. Math. Phys. Eng. Sci.},
Month = mar,
Number = {1989},
Pages = {20120053-20120053},
Title = {{Observation of a Fast Evolution in a Parity\textendash{}Time-Symmetric System}},
Volume = {371},
Year = {2013},
Bdsk-Url-1 = {https://doi.org/10.1098/rsta.2012.0053}}
@article{Choi_2018,
Author = {Choi, Youngsun and Hahn, Choloong and Yoon, Jae Woong and Song, Seok Ho},
Date-Added = {2019-01-20 22:03:11 +0100},
Date-Modified = {2019-01-21 16:29:02 +0100},
Doi = {10.1038/s41467-018-04690-y},
Journal = {Nat. Commun.},
Month = dec,
Number = {1},
Pages = {2182},
Title = {{Observation of an Anti-PT-Symmetric Exceptional Point and Energy-Difference Conserving Dynamics in Electrical Circuit Resonators}},
Volume = {9},
Year = {2018},
Bdsk-Url-1 = {https://doi.org/10.1038/s41467-018-04690-y}}
@article{El-Ganainy_2018,
Author = {El-Ganainy, Ramy and Makris, Konstantinos G. and Khajavikhan, Mercedeh and Musslimani, Ziad H. and Rotter, Stefan and Christodoulides, Demetrios N.},
Date-Added = {2019-01-30 12:10:10 +0100},
Date-Modified = {2019-01-30 12:10:10 +0100},
Doi = {10.1038/nphys4323},
Journal = {Nat. Phys.},
Language = {en},
Month = jan,
Number = {1},
Pages = {11-19},
Title = {{Non-Hermitian Physics and PT Symmetry}},
Volume = {14},
Year = {2018},
Bdsk-Url-1 = {https://doi.org/10.1038/nphys4323}}
@article{Heiss_2012,
Author = {Heiss, W D},
Date-Added = {2019-01-20 22:03:11 +0100},
Date-Modified = {2019-01-20 22:03:11 +0100},
Doi = {10.1088/1751-8113/45/44/444016},
Issn = {1751-8113, 1751-8121},
Journal = {J. Phys. Math. Theor.},
Month = nov,
Number = {44},
Pages = {444016},
Title = {{The Physics of Exceptional Points}},
Volume = {45},
Year = {2012},
Bdsk-Url-1 = {https://doi.org/10.1088/1751-8113/45/44/444016}}
@article{Heiss_1990,
Author = {Heiss, W D and Sannino, A L},
Date-Added = {2019-01-20 22:03:11 +0100},
Date-Modified = {2019-01-20 22:03:11 +0100},
Doi = {10.1088/0305-4470/23/7/022},
Journal = {J. Phys. Math. Gen.},
Month = apr,
Number = {7},
Pages = {1167-1178},
Title = {{Avoided Level Crossing and Exceptional Points}},
Volume = {23},
Year = {1990},
Bdsk-Url-1 = {https://doi.org/10.1088/0305-4470/23/7/022}}
@article{Heiss_2016,
Author = {Heiss, Dieter},
Date-Added = {2019-01-20 22:03:11 +0100},
Date-Modified = {2019-01-27 20:41:40 +0100},
Doi = {10.1038/nphys3864},
Journal = {Nat. Phys.},
Pages = {823--824},
Title = {{Circling Exceptional Points}},
Volume = {12},
Year = {2016},
Bdsk-Url-1 = {https://doi.org/10.1038/nphys3864}}
@article{Heiss_1999,
Author = {W. D.},
Date-Added = {2018-12-06 20:49:57 +0100},
Date-Modified = {2018-12-06 20:51:10 +0100},
Doi = {10.1007/s100530050339},
Journal = {Eur. Phys. J. D},
Pages = {1},
Title = {Phases of wave functions and level repulsion},
Volume = {7},
Year = {1999},
Bdsk-Url-1 = {https://doi.org/10.1007/s100530050339}}
@article{Yarkony_1996,
Author = {D. R. Yarkony},
Date-Added = {2018-12-06 20:45:42 +0100},
Date-Modified = {2018-12-06 20:47:03 +0100},
Doi = {10.1103/RevModPhys.68.985},
Journal = {Rev. Mod. Phys.},
Pages = {985},
Title = {Diabolical conical intersections},
Volume = {68},
Year = {1996},
Bdsk-Url-1 = {https://doi.org/10.1103/RevModPhys.68.985}}
@article{Berry_1984,
Author = {M. V. Berry},
Doi = {10.1103/RevModPhys.35.496},
Journal = {Proc. Royal Soc. A},
Pages = {45},
Title = {{Quantal Phase Factors Accompanying Adiabatic Changes}},
Volume = {392},
Year = {1984},
Bdsk-Url-1 = {https://doi.org/10.1103/RevModPhys.35.496}}
@book{MoiseyevBook,
Author = {N. Moiseyev},
Date-Added = {2018-10-16 13:34:32 +0200},
Date-Modified = {2018-10-16 13:35:43 +0200},
Publisher = {Cambridge University Press},
Title = {{Non-Hermitian Quantum Mechanics}},
Year = {2011}}
@book{SzaboBook,
Author = {A. Szabo and N. S. Ostlund},
Date-Added = {2019-01-22 22:33:30 +0100},
Date-Modified = {2019-01-22 22:33:30 +0100},
Publisher = {McGraw-Hill},
Title = {Modern quantum chemistry: {Introduction} to advanced electronic structure},
Year = {1989}}
@book{JensenBook,
Author = {F. Jensen},
Publisher = {Wiley},
Title = {Introduction to computational chemistry},
Year = {2017}}
@article{Lepetit_1988,
Author = {Lepetit, M. B. and P{\'e}lissier, M. and Malrieu, J. P.},
Date = {1988-07-15},
Doi = {10.1063/1.455170},
Journal = {J. Chem. Phys.},
Number = {2},
Pages = {998--1008},
Title = {Origins of the poor convergence of manybody perturbation theory expansions from unrestricted {Hartree-Fock} zerothorder descriptions},
Volume = {89},
Bdsk-Url-1 = {https://doi.org/10.1063/1.455170}}
@article{Cremer_1996,
Author = {Cremer, Dieter and He, Zhi},
Date = {1996-01-01},
Doi = {10.1021/jp952815d},
Journal = {J. Phys. Chem.},
Number = {15},
Pages = {6173--6188},
Title = {{Sixth-Order M{\o}ller-Plesset Perturbation Theory On the Convergence of the MPn Series}},
Volume = {100},
Bdsk-Url-1 = {https://doi.org/10.1021/jp952815d}}
@article{Baker_1971,
Author = {{Baker}, {GEORGE} A.},
Date = {1971-10-01},
Doi = {10.1103/RevModPhys.43.479},
Journal = {Rev. Mod. Phys.},
Number = {4},
Pages = {479--531},
Title = {{Singularity Structure of the Perturbation Series for the Ground-State Energy of a Many-Fermion System}},
Volume = {43},
Bdsk-Url-1 = {https://doi.org/10.1103/RevModPhys.43.479}}
@article{Cejnar_2005,
Author = {Cejnar, Pavel and Heinze, Stefan and Dobe{\v s}, Jan},
Date = {2005-01-26},
Doi = {10.1103/PhysRevC.71.011304},
Journal = {Phys. Rev. C},
Number = {1},
Pages = {011304},
Title = {Thermodynamic analogy for quantum phase transitions at zero temperature},
Volume = {71},
Bdsk-Url-1 = {https://doi.org/10.1103/PhysRevC.71.011304}}
@article{Stransky_2018,
Author = {Str{\'a}nsk{\'y}, Pavel and Dvo{\v r}{\'a}k, Martin and Cejnar, Pavel},
Date = {2018-01-11},
Doi = {10.1103/PhysRevE.97.012112},
Journal = {Phys. Rev. E},
Number = {1},
Pages = {012112},
Title = {Exceptional points near first- and second-order quantum phase transitions},
Volume = {97},
Bdsk-Url-1 = {https://doi.org/10.1103/PhysRevE.97.012112}}
@article{Cejnar_2007,
Author = {Cejnar, Pavel and Heinze, Stefan and Macek, Michal},
Date = {2007-09-07},
Doi = {10.1103/PhysRevLett.99.100601},
Journal = {Phys. Rev. Lett.},
Number = {10},
Pages = {100601},
Title = {{Coulomb Analogy for Non-Hermitian Degeneracies near Quantum Phase Transitions}},
Volume = {99},
Bdsk-Url-1 = {https://doi.org/10.1103/PhysRevLett.99.100601}}
@article{Heiss_1988,
Author = {Heiss, W. D.},
Date = {1988-06-01},
Doi = {10.1007/BF01283767},
Journal = {Z. Physik A - Atomic Nuclei},
Number = {2},
Pages = {133--138},
Title = {{Exceptional points of a Hamiltonian and phase transitions in finite systems}},
Volume = {329},
Bdsk-Url-1 = {https://doi.org/10.1007/BF01283767}}
@article{Heiss_2002,
Author = {Heiss, W. D. and M{\"u}ller, M.},
Date = {2002-07-26},
Doi = {10.1103/PhysRevE.66.016217},
Journal = {Phys. Rev. E},
Number = {1},
Pages = {016217},
Title = {Universal relationship between a quantum phase transition and instability points of classical systems},
Volume = {66},
Bdsk-Url-1 = {https://doi.org/10.1103/PhysRevE.66.016217}}
@article{Sindelka_2017,
Author = {{\v S}indelka, Milan and Santos, Lea F. and Moiseyev, Nimrod},
Date = {2017-01-24},
Doi = {10.1103/PhysRevA.95.010103},
Journal = {Phys. Rev. A},
Number = {1},
Pages = {010103},
Title = {Excited-state quantum phase transitions studied from a non-{Hermitian} perspective},
Volume = {95},
Bdsk-Url-1 = {https://doi.org/10.1103/PhysRevA.95.010103}}
@article{Cejnar_2015,
Author = {Cejnar, Pavel and Str{\'a}nsk{\'y}, Pavel and Kloc, Michal},
Date = {2015-10},
Doi = {10.1088/0031-8949/90/11/114015},
Journal = {Phys. Scr.},
Number = {11},
Pages = {114015},
Title = {Excited-state quantum phase transitions in finite many-body systems},
Volume = {90},
Bdsk-Url-1 = {https://doi.org/10.1088/0031-8949/90/11/114015}}
@article{Cejnar_2009,
Author = {Cejnar, Pavel and Jolie, Jan},
Date = {2009-01-01},
Doi = {10.1016/j.ppnp.2008.08.001},
Journal = {Prog. Part. Nucl. Phys.},
Number = {1},
Pages = {210--256},
Title = {Quantum phase transitions in the interacting boson model},
Volume = {62},
Bdsk-Url-1 = {https://doi.org/10.1016/j.ppnp.2008.08.001}}
@article{Borisov_2015,
Author = {Borisov, Denis I. and Ru{\v z}i{\v c}ka, Franti{\v s}ek and Znojil, Miloslav},
Date = {2015-12-01},
Doi = {10.1007/s10773-014-2493-y},
Journal = {Int J Theor Phys},
Number = {12},
Pages = {4293--4305},
Title = {{Multiply Degenerate Exceptional Points and Quantum Phase Transitions}},
Volume = {54},
Bdsk-Url-1 = {https://doi.org/10.1007/s10773-014-2493-y}}
@article{Caprio_2008,
Author = {Caprio, M. A. and Cejnar, P. and Iachello, F.},
Date = {2008-05-01},
Doi = {10.1016/j.aop.2007.06.011},
Journal = {Ann Phys (N Y)},
Number = {5},
Pages = {1106--1135},
Title = {Excited state quantum phase transitions in many-body systems},
Volume = {323},
Bdsk-Url-1 = {https://doi.org/10.1016/j.aop.2007.06.011}}
@article{Macek_2019,
Author = {Macek, Michal and Str{\'a}nsk{\'y}, Pavel and Leviatan, Amiram and Cejnar, Pavel},
Date = {2019-06-21},
Doi = {10.1103/PhysRevC.99.064323},
Journal = {Phys. Rev. C},
Number = {6},
Pages = {064323},
Title = {Excited-state quantum phase transitions in systems with two degrees of freedom. {III}. {Interacting boson systems}},
Volume = {99},
Bdsk-Url-1 = {https://doi.org/10.1103/PhysRevC.99.064323}}
@book{Sachdev_2011,
Author = {Sachdev, Subir},
Date = {2011},
Doi = {10.1017/CBO9780511973765},
Publisher = {Cambridge University Press},
Title = {{Quantum Phase Transitions}},
Bdsk-Url-1 = {https://doi.org/10.1017/CBO9780511973765}}
@article{Cejnar_2016,
Author = {Cejnar, Pavel and Str{\'a}nsk{\'y}, Pavel},
Date = {2016-07},
Doi = {10.1088/0031-8949/91/8/083006},
Journal = {Phys. Scr.},
Number = {8},
Pages = {083006},
Title = {Quantum phase transitions in the collective degrees of freedom: nuclei and other many-body systems},
Volume = {91},
Bdsk-Url-1 = {https://doi.org/10.1088/0031-8949/91/8/083006}}
@article{Coulson_1949,
Author = {Coulson, C. A. and Fischer, I.},
Date = {1949-04-01},
Doi = {10.1080/14786444908521726},
Journaltitle = {The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science},
Number = {303},
Pages = {386--393},
Title = {{XXXIV}. {Notes} on the molecular orbital treatment of the hydrogen molecule},
Volume = {40},
Bdsk-Url-1 = {https://doi.org/10.1080/14786444908521726}}
@article{Burton_2019,
Author = {Burton, Hugh G. A. and Thom, Alex J. W. and Loos, Pierre-Fran{\c c}ois},
Doi = {10.1063/1.5085121},
Journal = {J. Chem. Phys.},
Month = jan,
Number = {4},
Pages = {041103},
Title = {Complex adiabatic connection: {A} hidden non-{Hermitian} path from ground to excited states},
Volume = {150},
Year = {2019},
Bdsk-Url-1 = {https://doi.org/10.1063/1.5085121}}
@article{Burton_2019a,
Author = {Burton, Hugh G. A. and Thom, Alex J. W. and Loos, Pierre-Fran{\c c}ois},
Doi = {10.1021/acs.jctc.9b00289},
Journal = {J. Chem. Theory Comput.},
Month = aug,
Number = {8},
Pages = {4374--4385},
Title = {Parity-{Time} {Symmetry} in {Hartree}--{Fock} {Theory}},
Volume = {15},
Year = {2019},
Bdsk-Url-1 = {https://doi.org/10.1021/acs.jctc.9b00289}}
@article{Hiscock_2014,
Author = {Hiscock, Hamish G. and Thom, Alex J. W.},
Doi = {10.1021/ct5007696},
Journal = {J. Chem. Theory Comput.},
Month = nov,
Number = {11},
Pages = {4795--4800},
Title = {Holomorphic {Hartree}--{Fock} {Theory} and {Configuration} {Interaction}},
Volume = {10},
Year = {2014},
Bdsk-Url-1 = {https://doi.org/10.1021/ct5007696}}
@article{Seidl_2018,
Author = {Seidl, Michael and Giarrusso, Sara and Vuckovic, Stefan and Fabiano, Eduardo and Gori-Giorgi, Paola},
Doi = {10.1063/1.5078565},
Journal = {J. Chem. Phys.},
Month = dec,
Number = {24},
Pages = {241101},
Title = {Communication: {Strong}-interaction limit of an adiabatic connection in {Hartree}-{Fock} theory},
Volume = {149},
Year = {2018},
Bdsk-Url-1 = {https://doi.org/10.1063/1.5078565}
}
@book{GiulianiBook,
Author = {Giuliani, Gabriele and Vignale, Giovanni},
Doi = {10.1017/CBO9780511619915},
Isbn = {978-0-521-52796-5},
Publisher = {Cambridge University Press},
Title = {Quantum {Theory} of the {Electron} {Liquid}},
Urldate = {2020-07-21},
Year = {2005},
}
@book{AngularBook,
Author = {Edmonds, A. R.},
Isbn = {978-0-691-02589-6},
Publisher = {Princeton University Press},
Title = {Angular {Momentum} in {Quantum} {Mechanics}},
Year = {1996}}
@book{SlaterBook,
Author = {Slater, John Clarke},
Publisher = {McGraw-Hill},
Title = {{Quantum Theory of Atomic Structure}},
Year = {1960}}
@article{Loos_2009,
Author = {Loos, Pierre-Fran{\c c}ois and Gill, Peter M. W.},
Doi = {10.1103/PhysRevA.79.062517},
Journal = {Phys. Rev. A},
Month = jun,
Number = {6},
Pages = {062517},
Title = {Ground state of two electrons on a sphere},
Volume = {79},
Year = {2009},
Bdsk-Url-1 = {https://doi.org/10.1103/PhysRevA.79.062517}}
@book{Ushveridze_1994,
title = {Quasi-exactly solvable models in quantum mechanics},
isbn = {978-0-7503-0266-1},
publisher = {Institute of Physics Publishing},
author = {Ushveridze, Alexander G},
year = {1994},
}
@article{Lipkin_1965,
title = {Validity of many-body approximation methods for a solvable model: ({I}). {Exact} solutions and perturbation theory},
volume = {62},
doi = {10.1016/0029-5582(65)90862-X},
language = {en},
number = {2},
journal = {Nucl. Phys.},
author = {Lipkin, H. J. and Meshkov, N. and Glick, A. J.},
month = feb,
year = {1965},
pages = {188--198},
}
@article{Wigner_1934,
title = {On the {Interaction} of {Electrons} in {Metals}},
volume = {46},
doi = {10.1103/PhysRev.46.1002},
number = {11},
journal = {Phys. Rev.},
author = {Wigner, E.},
month = dec,
year = {1934},
pages = {1002--1011},
}
@article{Thompson_2005,
title = {A comparison of {Hartree}{Fock} and exact diagonalization solutions for a model two-electron system},
volume = {122},
issn = {0021-9606},
doi = {10.1063/1.1869978},
number = {12},
journal = {J. Chem. Phys.},
author = {Thompson, David C. and Alavi, Ali},
month = mar,
year = {2005},
pages = {124107},
}
@article{Seidl_2007,
title = {Adiabatic connection in density-functional theory: {Two} electrons on the surface of a sphere},
volume = {75},
doi = {10.1103/PhysRevA.75.062506},
number = {6},
journal = {Phys. Rev. A},
author = {Seidl, Michael},
month = jun,
year = {2007},
pages = {062506},
}
@article{Loos_2009b,
title = {Two {Electrons} on a {Hypersphere}: {A} {Quasiexactly} {Solvable} {Model}},
volume = {103},
doi = {10.1103/PhysRevLett.103.123008},
number = {12},
journal = {Phys. Rev. Let.},
author = {Loos, Pierre-François and Gill, Peter M. W.},
month = sep,
year = {2009},
pages = {123008},
}