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117 lines
2.8 KiB
Groff
117 lines
2.8 KiB
Groff
.\" Man page generated from reStructuredText.
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.TH "NATURAL_ORBITALS" "1" "Jan 29, 2019" "2.0" "Quantum Package"
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.SH NAME
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natural_orbitals \- | Quantum Package >
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.nr rst2man-indent-level 0
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..
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.de1 INDENT
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.\" .rstReportMargin pre:
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.de UNINDENT
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. RE
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.\" old: \\n[rst2man-indent\\n[rst2man-indent-level]]
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.in \\n[rst2man-indent\\n[rst2man-indent-level]]u
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..
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.SH SUMMARY
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.sp
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To produce state\-average natural orbitals, run
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.INDENT 0.0
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.INDENT 3.5
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.sp
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.nf
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.ft C
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qp_run save_natorb file.ezfio
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.ft P
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.fi
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.UNINDENT
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.UNINDENT
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.sp
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The MOs will be replaced, so the two\-electron integrals and the wave
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function are invalidated as well.
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.SH EXTRACTING NATURAL ORBITALS
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.sp
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Once obtained the near FCI wave function, one can obtain many
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Onquantities related to it. e of these quantities are the natural
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Onorbitals which have the properties of diagonalizing the one\-body
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Ondensity matrix:
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.INDENT 0.0
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.INDENT 3.5
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.sp
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.ce
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\erho_{ij} = \edelta_{ij}
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.ce 0
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.UNINDENT
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.UNINDENT
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.sp
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where the element of the one\-body density matrix \erho_{ij} is
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define as:
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.INDENT 0.0
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.INDENT 3.5
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.sp
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.ce
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\erho_{ij} = \elangle \ePsi | \eleft( a^{\edagger}_{j,\ealpha} a_{i,\ealpha} + a^{\edagger}_{j,\ebeta} a_{i,\ebeta} \eright) |\ \ePsi\ \erangle
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.ce 0
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.UNINDENT
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.UNINDENT
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.sp
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These orbitals are in general known to be better than the usual HF
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MOs as they are obtained from a correlated wave function. To use these
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orbitals for future calculations, one has to replace the current MOs
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by the natural orbitals. To do so, just run:
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.INDENT 0.0
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.INDENT 3.5
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.sp
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.nf
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.ft C
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qp_run save_natorb file.ezfio
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.ft P
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.fi
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.UNINDENT
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.UNINDENT
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.SH HANDS ON
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.sp
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\fBIMPORTANT:\fP
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.INDENT 0.0
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.INDENT 3.5
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As the MOs are changed, for the sake of coherence of future
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calculations, the save_natorb program \fIautomatically removes the
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current wave function\fP stored in the \fI\%EZFIO\fP database and replaces
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it by a single Slater determinant corresponding to a HF occupation
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of the new spin orbitals. Also, all the keywords to read the one\-
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and two\-electron integrals on the MO basis are set to \fBNone\fP in
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order to be sure to avoid reading integrals incompatible with the
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current set of MOs\&.
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.UNINDENT
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.UNINDENT
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.sp
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\fBSEE ALSO:\fP
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.INDENT 0.0
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.INDENT 3.5
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The documentation of the \fBsave_natorb()\fP program.
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.UNINDENT
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.UNINDENT
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.SH AUTHOR
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A. Scemama, E. Giner
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.SH COPYRIGHT
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2019, A. Scemama, E. Giner
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.\" Generated by docutils manpage writer.
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