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Phase transition phenomena and the Lippmann—Schwinger variational principle

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Acta Physica Academiae Scientiarum Hungaricae

Abstract

It is shown that the partition function need not be determined uniquely if a generalized matrix eigenvalue equation of the type (W1−PW2)Y=0 possesses a nontrivial solutionY. The solution may be physically relevant if the parameterP is real. We derive the above eigenvalue equation and discuss its solution. In this context some basic asymptotic considerations are summarized in a theorem.

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Authors and Affiliations

  1. Sektion Mathematik der Martin-Luther-Universität Halle, Halle, GDR

    W. Lucht

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  1. W. Lucht
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Lucht, W. Phase transition phenomena and the Lippmann—Schwinger variational principle. Acta Physica 39, 217–226 (1975). https://doi.org/10.1007/BF03157139

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  • DOI: https://doi.org/10.1007/BF03157139

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