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@ -813,18 +813,16 @@ prim_factor =
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\hat{T}_2 = \frac{1}{4} \sum_{ijab} t_{ij}^{ab}\, \hat{a}^\dagger_a \hat{a}^\dagger_b \hat{a}_j \hat{a}_i
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\],
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/etc/.
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/etc/. Indices $i,j,a,b$ denote molecular orbital indices.
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Wave functions obtained with perturbation theory of configuration
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interaction are of the form
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[\
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\Phi = \hat{T} \Psi
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\]
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\[ |\Phi\rangle = \hat{T}|\Psi\rangle \]
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and coupled-cluster wave functions are of the form
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[\
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\Phi = e^{\hat{T}} \Psi
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\]
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\[ |\Phi\rangle = e^{\hat{T}}| \Psi \rangle \]
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The reference wave function is stored using the ~determinant~ and/or
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~csf~ groups, and the amplitudes are stored using the current group.
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@ -840,8 +838,8 @@ prim_factor =
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#+NAME: amplitude
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| Variable | Type | Dimensions | Description |
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|-----------------+----------------+-------------------------------------------------------------+-------------------------------------------------|
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| ~single~ | ~float~ | ~(mo.num,mo.num)~ | Single excitation amplitudes |
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| ~single_exp~ | ~float~ | ~(mo.num,mo.num)~ | Exponentialized single excitation amplitudes |
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| ~single~ | ~float sparse~ | ~(mo.num,mo.num)~ | Single excitation amplitudes |
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| ~single_exp~ | ~float sparse~ | ~(mo.num,mo.num)~ | Exponentialized single excitation amplitudes |
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| ~double~ | ~float sparse~ | ~(mo.num,mo.num,mo.num,mo.num)~ | Double excitation amplitudes |
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| ~double_exp~ | ~float sparse~ | ~(mo.num,mo.num,mo.num,mo.num)~ | Exponentialized double excitation amplitudes |
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| ~triple~ | ~float sparse~ | ~(mo.num,mo.num,mo.num,mo.num,mo.num,mo.num)~ | Triple excitation amplitudes |
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@ -855,8 +853,8 @@ prim_factor =
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:results:
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#+begin_src python :tangle trex.json
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"amplitude": {
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"single" : [ "float" , [ "mo.num", "mo.num" ] ]
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, "single_exp" : [ "float" , [ "mo.num", "mo.num" ] ]
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"single" : [ "float sparse", [ "mo.num", "mo.num" ] ]
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, "single_exp" : [ "float sparse", [ "mo.num", "mo.num" ] ]
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, "double" : [ "float sparse", [ "mo.num", "mo.num", "mo.num", "mo.num" ] ]
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, "double_exp" : [ "float sparse", [ "mo.num", "mo.num", "mo.num", "mo.num" ] ]
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, "triple" : [ "float sparse", [ "mo.num", "mo.num", "mo.num", "mo.num", "mo.num", "mo.num" ] ]
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