Evolution of the N-particle state in the BCS model

Evolution of the N-particle state in the BCS model

We obtain an exact scheme describing the dynamics of the N-particle state in the BCS model that is similar to the Gel’fand-Yaglom procedure for finding the transition amplitude of the harmonic oscillator with a time-dependent frequency. We find the many-particle spectrum and the eigenfunctions of th...

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Veröffentlicht in:Theoretical and mathematical physics 2011, Vol.166 (1), p.94-103
1. Verfasser: Losyakov, V. V.
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Mathematical and Computational Physics
Physics
Physics and Astronomy
Theoretical
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Zusammenfassung:We obtain an exact scheme describing the dynamics of the N-particle state in the BCS model that is similar to the Gel’fand-Yaglom procedure for finding the transition amplitude of the harmonic oscillator with a time-dependent frequency. We find the many-particle spectrum and the eigenfunctions of the BCS Hamiltonian in the limit as the system volume tends to infinity.
ISSN:0040-5779
1573-9333
DOI:10.1007/s11232-011-0008-z