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APS

On the Unitarity of the Bogoliubov Transformation in the HFB calculations

J. Dobaczewski, Piotr Borycki, Witold Nazarewicz, Mario V. Stoitsov

Published Nov 1, 2004• 0 citations
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A formula to calculate the norm overlap between Hartree–Fock–Bogoliubov (HFB) states with odd number parity (one quasi-particle excited states) is derived with the help of Grassmann numbers and Fermion coherent states. The final 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 Thoulessʼ HFB ansatz for the even–even system.