WORLD SCIENTIFIC eBooks

EXACTLY SOLVABLE, NON-HERMITIAN BCS HAMILTONIAN

Amir Teymur Esfandirari Moghaddam, Jon Links, Yao-Zhong Zhang

Published Aug 14, 2013• 1 citation

Publisher

DOI: 10.1142/9789814518550_0091

Related papers

AN INTEGRABLE AND EXACTLY SOLVABLE NON-HERMITIAN BCS HAMILTONIAN AND GENERALISED EXCLUSION STATISTICS

Amir Moghaddam

Jul 17, 20140 citations

AN INTEGRABLE AND EXACTLY SOLVABLE NON-HERMITIAN BCS HAMILTONIAN AND GENERALISED EXCLUSION STATISTICS

Amir Teymur Esfandirari Moghaddam

Bulletin of the Australian Mathematical SocietyJun 2, 20150 citations

A new understanding of the BCS Hamiltonian

J. D. Fan, Y. M. Malozovsky

Physica C SuperconductivityNov 1, 20000 citations

EXACTLY SOLVABLE PAIRING HAMILTONIANS

J. Dukelsky, B. Errea, Sergio Lerma-Hernández +1 more

We review the development of the microscopic BCS theory of superconductivity and the exact solution of the pairing Hamiltonian given by Richardson in 1963. We then introduce the generalized Richardson-Gaudin exactly-solvable pairing models for SU(2) (pairing between like particles), SO(5) ( T =1 pairing) and SO(8) ( T =0,1 pairing) algebras.

International Journal of Modern Physics EFeb 1, 20072 citations

THE EXACTLY SOLVABLE RICHARDSON MODEL IN THE BCS-to-BEC CROSSOVER

J. Dukelsky, Gerardo Ortíz

The exact Richardson solution of the reduced BCS Hamiltonian is reviewed with special emphasis on the structure of the many-body wavefunction. A clear definition of the Cooper pairs in the superconducting or Fermi superfluid medium emerges. The structure of the Cooper pair wavefunction is general enough to describe large overlapping pair resonances in the weak coupling limit (BCS) as well as a Bose-Einstein condensate (BEC) of quasi-bound molecules in the strong coupling limit.

International Journal of Modern Physics EFeb 20, 20063 citations

Spectrum and states of the BCS Hamiltonian with sources

D. Ya. Petrina

Ukrainian Mathematical JournalSep 1, 20082 citations