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A Rigorous Formulation of the Boson Method in Superconductivity |
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Fortschritte der Physik,
Volume 24,
Issue 7,
1976,
Page 357-404
H. Matsumoto,
H. Umezawa,
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摘要:
AbstractA rigorous formulation of the boson method in superconductivity is presented. Assuming the local gauge invariance and presence of a phase‐dependent order parameter and utilizing the path‐integral formalism, we derive a set of macroscopic equations which control all the superconducting states. These equations are model‐independent. They contain certain functions and parameters which should be calculated for a given model. Using this rigorous formulation, we study what kind of approximations are involved in the usual formulation of the boson method and how these approximations can be imp
ISSN:0015-8208
DOI:10.1002/prop.19760240702
出版商:WILEY‐VCH Verlag
年代:1976
数据来源: WILEY
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2. |
Zerfallende Zustände als physikalisch nichtisolierbare Teilsysteme |
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Fortschritte der Physik,
Volume 24,
Issue 7,
1976,
Page 405-415
Gy. I. Szász,
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摘要:
AbstractPresently the investigations of decaying quantum mechanical systems lack a well‐founded concept, which is reflected by several formal difficulties of the corresponding mathematical treatment. In order to clarify in some respect the situation, we investigate, within the framework of nonrelativistic quantum mechanics, the resonant scattering of an initially well localized partial wave packet ϕl(r,t). If the potential decreases sufficiently fast forr→ ∞, ϕl(r,t) can be expressed at sufficiently long time after the scattering has taken place, as ϕl(r,t) =I(r,t) + ∑Niϕl(Ki,r) exp {–iKi2t/2M} × Θ(ki– γi–Mr/t), ϕl(Ki, r) being the resonant solution with complex “momentum”Ki=ki–iγi. From this heuristic relation one can deduce not only the probability for the creation of unstable particles but also obtain some hints to a connection between decaying states and physically nonisolable partial systems. On the other hand, this connection can perhaps display the inadequacy of attempts which suggest to solve the problem of decaying states within the
ISSN:0015-8208
DOI:10.1002/prop.19760240703
出版商:WILEY‐VCH Verlag
年代:1976
数据来源: WILEY
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3. |
Masthead |
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Fortschritte der Physik,
Volume 24,
Issue 7,
1976,
Page -
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PDF (19KB)
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ISSN:0015-8208
DOI:10.1002/prop.19760240701
出版商:WILEY‐VCH Verlag
年代:1976
数据来源: WILEY
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