Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Springer eBooks

The Mathematical Structure of the BCS-Model and Related Models

Walter E Thirring

Published Jan 1, 1973• 0 citations
Publisher
DOI
10.1007/978-94-010-2669-7_3

Related papers

The Mathematical Structure of the BCS-Model and Related Models

Walter E Thirring

Springer eBooks•Jan 1, 1969•4 citations

The mathematical structure of the bardeen-cooper-schrieffer model

Rudolf Haag

Il Nuovo Cimento•Jul 1, 1962•187 citations

Effective Models for Many Particle Systems: BCS Theory and the Kac Model

Alissa Geisinger

In this thesis we study mathematical aspects of BCS theory and its connection to Ginzburg-Landau theory. Furthermore we investigate the exponential decay of solutions to the Kac master equation. A full abstract is contained in the document.

•Jan 1, 2018•0 citations

On the mathematical structure of the B.C.S.-model

Walter E Thirring, Alfred Wehrl

Communications in Mathematical Physics•Oct 1, 1967•114 citations

Exact solution of the BCS model

I. A. Bernadskii, R. A. Minlos

Theoretical and Mathematical Physics•Aug 1, 1972•3 citations

A theoretical study of Dynamic Structure factor and evaluation of impurity scattering rate, dispersion relation of collective mode and Spectral density of a Fermi super fluid along the BCS-BEC crossover region

Using the theoretical formalism of T. H. Johnson etal.[PRL,116,240403 (2016)], Y. Nishida [PRL 114, 115302 (2015)], W. Yi and X. Chi[Phys.Rev. A92, 013623 (2015)] and A. Sindona etal.[PRL 111, 165303 (2013)], we have theoretically evaluated the dynamic structure factor (DSF) and spectral density of Fermi super fluid along BCS-BEC crossover regime.The evaluation is based on a model in which an impurity atom is trapped by an anharmonic potential with attractive interaction.We have evaluated impurity decay rate 4 (10 ) F E   as a function of vibrational energy A F E  for BCS limit ( 1 Fs ka =-0.5), unitarity limit ( 1 Fs ka =0.0) and BEC limit ( 1 Fs ka =1.0) respectively.Our theoretically obtained results show that

Journal of Chemical Biological and Physical Sciences•Apr 30, 2018•1 citation
Using the theoretical formalism of T. H. Johnson etal.[PRL,116,240403 (2016)], Y. Nishida [PRL 114, 115302 (2015)], W. Yi and X. Chi[Phys.Rev. A92, 013623 (2015)] and A. Sindona etal.[PRL 111, 165303 (2013)], we have theoretically evaluated the dynamic structure factor (DSF) and spectral density of Fermi super fluid along BCS-BEC crossover regime.The evaluation is based on a model in which an impurity atom is trapped by an anharmonic potential with attractive interaction.We have evaluated impurity decay rate 4 (10 ) F E   as a function of vibrational energy A F E  for BCS limit ( 1 Fs ka =-0.5), unitarity limit ( 1 Fs ka =0.0) and BEC limit ( 1 Fs ka =1.0) respectively.Our theoretically obtained results show that