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

Autor:	Takahiro Mizusaki, Makito Oi
Rok vydání:	2012
Předmět:	Condensed Matter::Quantum Gases Physics Nuclear and High Energy Physics Nuclear Theory Hartree–Fock method FOS: Physical sciences Pfaffian Fermion Nuclear Theory (nucl-th) Bogoliubov transformation Grassmann number Quantum mechanics Coherent states Parity (mathematics) Ansatz
Zdroj:	Physics Letters B. 707:305-310
ISSN:	0370-2693
DOI:	10.1016/j.physletb.2011.12.040
Popis:	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. Comment: 14 pages (12pts), no figure
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0a466a079842d69caeea6a16c79a701c https://doi.org/10.1016/j.physletb.2011.12.040 Zobrazit plný text záznamu Full Text from ScienceDirect