A variational approach for the quantum inverse scattering method

作者:Birrell A*; Isaac P S; Links J
来源:Inverse Problems, 2012, 28(3): 035008.
DOI:10.1088/0266-5611/28/3/035008

摘要

We introduce a variational approach for the quantum inverse scattering method to exactly solve a class of Hamiltonians via Bethe ansatz methods. We undertake this in a manner which does not rely on any prior knowledge of integrability through the existence of a set of conserved operators. The procedure is conducted in the framework of Hamiltonians describing the crossover between the low-temperature phenomena of superconductivity, in the Bardeen-Cooper-Schrieffer theory, and Bose-Einstein condensation. The Hamiltonians considered describe systems with interacting Cooper pairs and a bosonic degree of freedom. We obtain general exact solvability requirements which include seven subcases that have previously appeared in the literature.

  • 出版日期2012-3