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arXiv · 1110.2340

Norm-overlap formula of Hartree-Fock-Bogoliubov states with odd number parity

Makito Oi·Takahiro Mizusaki
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Abstract

A formula to calculate a norm overlap between Hartree-Fock-Bogoliubov (HFB) states with the odd number parity (one quasi-particle excited states) is derived with help of the Grassmann numbers and the Fermion coherent states. The final form of the formula is expressed in terms of a product of the Pfaffian for a neighboring even-even system (the zero quasi-particle state), and an extra factor consisting of the Bogoliubov transformation matrix and the anti-symmetric matrix in Thouless' HFB ansatz for the even-even system.

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Makito Oi, Takahiro Mizusaki. 2011-10-14. Norm-overlap formula of Hartree-Fock-Bogoliubov states with odd number parity. https://doi.org/10.1016/j.physletb.2011.12.040

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