Exact wave functions in superconductivity

Daniel Mattis, Elliott Lieb

Research output: Contribution to journalArticlepeer-review

18 Scopus citations


The ground-state wave function and some of the excited states of the BCS reduced Hamiltonian are found. In the limit of large volume, the boundary and continuity conditions on the exact wave function lead directly to the equations which Bardeen, Cooper, and Schrieffer found by a variational technique. It is also shown in what sense the BCS trial wave function may be considered asymptotically exact in this limit. Finite-volume corrections are included in an appendix, and explicit calculations are carried out for a one-step model of the kinetic energy which has possible applications to the problem of the finite nucleus.

Original languageEnglish (US)
Pages (from-to)602-609
Number of pages8
JournalJournal of Mathematical Physics
Issue number4
StatePublished - Jan 1 1961

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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