A variational approach for the quantum inverse scattering method

Andrew Birrell, Isaac, Phillip and Links, Jon R. (2012) A variational approach for the quantum inverse scattering method. Inverse Problems, 28 3: 035008.1-035008.15.


Author Andrew Birrell
Isaac, Phillip
Links, Jon R.
Title A variational approach for the quantum inverse scattering method
Journal name Inverse Problems   Check publisher's open access policy
ISSN 0266-5611
1361-6420
Publication date 2012-03
Sub-type Article (original research)
DOI 10.1088/0266-5611/28/3/035008
Volume 28
Issue 3
Start page 035008.1
End page 035008.15
Total pages 15
Place of publication Bristol, United Kingdom
Publisher Institute of Physics Publishing
Collection year 2013
Language eng
Abstract 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.
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ
Additional Notes Article # 035008

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2013 Collection
 
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Created: Fri, 02 Mar 2012, 11:55:04 EST by Mr Andrew Birrell on behalf of School of Mathematics & Physics