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  • 1
    Electronic Resource
    Electronic Resource
    Schwinger's method for the fermionic Casimir effect at finite temperature (1996)
    Springer
    Letters in mathematical physics 38 (1996), S. 337-340 
    Details
    ISSN: 1573-0530
    Keywords: 81V10 ; 33D10 ; Casimir effect ; Dirac fields ; MIT boundary condition ; Epstein functions
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract The Casimir energy of a massive Dirac field at finite temperature and confined between two parallel infinite plates is computed using a method proposed by Schwinger. The boundary conditions are those of zero current through the plates, as inspired by quark confinement in the MIT bag model for hadrons. We use Schwinger's original regularization by a cutoff in proper-time. We comment on the analytical continuation method of regularization, which allows the employment of Epstein function techniques, and on the different possible expressions for the final answer.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00398358
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Schwinger's method for the fermionic Casimir effect (1996)
    Springer
    Letters in mathematical physics 38 (1996), S. 97-101 
    Details
    ISSN: 1573-0530
    Keywords: 81V10 ; 33D10 ; Casimir effect ; Dirac fields ; MIT bag model ; Casimir energy
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract The Casimir energy of a massive Dirac field confined between two parallel infinite plates is computed using a method proposed by Schwinger. The massless case is obtained as a limit of the massive case. The boundary conditions are those of zero current through the plates, as inspired by quark confinement in the MIT bag model for hadrons. We use an analytical continuation method of regularization which allows the employment of Epstein function techniques. The calculation using Schwinger's original regularization by a cutoff in proper time is also outlined.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00398302
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    Paper (German National Licenses)
    Fulltext
  • 3
    Electronic Resource
    Electronic Resource
    On Schwinger's method for obtaining the Casimir effect (1994)
    Springer
    Letters in mathematical physics 30 (1994), S. 169-171 
    Details
    ISSN: 1573-0530
    Keywords: 81V10 ; 33D10
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract We show that a slight modification in Schwinger's method leads directly to the finite result for the Casimir energy of a massless scalar theory.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00939704
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    Schwinger's method for the massive Casimir effect (1994)
    Springer
    Letters in mathematical physics 31 (1994), S. 309-313 
    Details
    ISSN: 1573-0530
    Keywords: 81V10 ; 33D10
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract We apply a method recently proposed by Schwinger to the massive scalar field to calculate the Casimir effect. The method is applied with two different regularization schemes: Schwinger's original one by means of Poisson formula and another one by means of analytical continuation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00762794
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    Paper (German National Licenses)
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  • 5
    Electronic Resource
    Electronic Resource
    Schwinger's formula for the Casimir effect at finite temperature (1996)
    Springer
    Letters in mathematical physics 37 (1996), S. 159-165 
    Details
    ISSN: 1573-0530
    Keywords: 81V10 ; 33D10 ; Casimir energy ; Epstein functions ; source theory ; Schwinger's regularization method
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract We show that the approach proposed by Schwinger to compute the Casimir energy at zero temperature in the context of source theory, can be generalized to include temperature effects. We use a regularization prescription based on analytical continuation methods which allows full employment of the Epstein function techniques. This is to be compared with Schwinger's original regularization method by means of the Poisson summation formula.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00416018
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    Paper (German National Licenses)
    Fulltext
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