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A New Method in the Theory of Superconductivity
Abstract
The method of canonical transformations proposed by one of the authors ten years ago in connection with a microscopic theory of superfluidity for Bose systems, is generalized here to Fermi systems, and forms the basis of a method for investigating the problem of superconductivity. Starting from Fröhlich's Hamiltonian, the energy of the superconducting ground state and the one‐Fermion and collective excitations corresponding to this state are obtained. It turns out that the final formulae for the ground state and one‐Fermion excitations recently obtained by Bardeen, Cooper and Schrieffer are correct in the first approximation. The physical picture appears to be closer to the one proposed by Schafroth, Butler and Blatt. The effect on superconductivity of the Coulomb interaction between the electrons is analyzed in detail. A criterion for the superfluidity of a Fermi system with a four‐line vertex Hamiltonian is established.
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Cited by
Bose-Einstein Condensation and Superfluidity
Pitaevskii, L., & Stringari, S. (2016) · doi:10.1093/acprof:oso/9780198758884.001.0001 · Cited by 1,061
Superconductivity in the elements, alloys and simple compounds
Webb, G. W., Marsiglio, F., & Hirsch, J. E. (2015) · Physica C: Superconductivity and its Applications · doi:10.1016/j.physc.2015.02.037 · Cited by 94
The role of electromagnetic potentials in the evolutionary dynamics of ecosystems
Brizhik, L., Del Giudice, E., Jørgensen, S. E., Marchettini, N., & Tiezzi, E. (2009) · Ecological Modelling · doi:10.1016/j.ecolmodel.2009.04.017 · Cited by 59
Metadata
- Authors
- Bogoljubov, N. N., Tolmachov, V. V., & Širkov, D. V.
- Venue
- Fortschritte der Physik
- Publisher
- Wiley
- Published
- 1958-01
- Volume
- 6
- Issue
- 11-12
- Pages
- 605-682
- ISSN
- 0015-8208 (ISSN-L)
- OpenAlex
- W2007651352
- Cited by
- 683
- References
- 0
- FWCI
- 8.65
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: A New Method in the Theory of Superconductivity. https://app.cochat.ai/papers/10.1002/prop.19580061102
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- Bogoljubov, N. N., Tolmachov, V. V., & Širkov, D. V. (1958). A New Method in the Theory of Superconductivity. Fortschritte der Physik. https://doi.org/10.1002/prop.19580061102
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