Methods to commute terms in Fermi objects #6196
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austingmhuang
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Sep 3, 2024
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Nice work @willjmax. I left some initial comments but it looks good so far.
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Co-authored-by: Austin Huang <65315367+austingmhuang@users.noreply.github.com>
Co-authored-by: Austin Huang <65315367+austingmhuang@users.noreply.github.com>
soranjh
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Co-authored-by: soranjh <40344468+soranjh@users.noreply.github.com>
soranjh
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mudit2812
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This PR introduces the method `shift_operator` to the `FermiWord` class.
Given an initial position and a final position, the method will shift
the operator in the initial position to the final position, and apply
the fermion anti-commutator relations. `shift_operator` returns a
`FermiSentence` object since new terms and coefficients may be
introduced by the anti-commutator relations.
The following code
```
fw = FermiWord({(0, 0): '+', (1, 1): '-', (2, 2): '+'})
fw.shift_operator(2, 0)
```
produces `FermiSentence({FermiWord({(0, 2): '+', (1, 0): '+', (2, 1):
'-'}): 1})` which is the `FermiSentence` obtained by shifting the
operator in the 2nd position until it reaches the 0th position. That is
`a+(0) a(1) a+(2)` becomes `a+(2) a+(0) a(1)`.
---------
Co-authored-by: Austin Huang <65315367+austingmhuang@users.noreply.github.com>
Co-authored-by: Utkarsh <utkarshazad98@gmail.com>
Co-authored-by: soranjh <40344468+soranjh@users.noreply.github.com>
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This PR introduces the method
shift_operatorto theFermiWordclass. Given an initial position and a final position, the method will shift the operator in the initial position to the final position, and apply the fermion anti-commutator relations.shift_operatorreturns aFermiSentenceobject since new terms and coefficients may be introduced by the anti-commutator relations.The following code
produces
FermiSentence({FermiWord({(0, 2): '+', (1, 0): '+', (2, 1): '-'}): 1})which is theFermiSentenceobtained by shifting the operator in the 2nd position until it reaches the 0th position. That isa+(0) a(1) a+(2)becomesa+(2) a+(0) a(1).