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  3. Functional Integrals and Collective Excitations
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    • Publisher:
      Cambridge University Press
      Publication date:
      June 2011
      January 1988
      ISBN:
      9780511599910
      9780521407878
      DOI:
      https://doi.org/10.1017/CBO9780511599910
      Dimensions:
      Weight & Pages:
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.34kg, 228 Pages
      • Subjects:
      Physics and Astronomy, Condensed Matter Physics, Nanoscience and Mesoscopic Physics, Theoretical Physics and Mathematical Physics
      Series:
      Cambridge Monographs on Mathematical Physics
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    Subjects:
    Physics and Astronomy, Condensed Matter Physics, Nanoscience and Mesoscopic Physics, Theoretical Physics and Mathematical Physics
    Series:
    Cambridge Monographs on Mathematical Physics
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    Book description

    This book describes the theory and selected applications of one of the most important mathematical tools used in the theoretical investigation of collective excitations in statistical physics, such as occur in superfluidity, superconductivity, plasma dynamics, superradiation, and in phase transitions. The author, who is a distinguished physicist and leading researcher in this area, begins with an introduction to functional integral techniques in equilibrium statistical thermodynamics, and discusses the expression of partition functions and Green functions in terms of functional integrals. Subsequent sections deal with the application of functional integrals in superfluid Bose systems, systems with Coulomb interaction, and superfluid Fermi systems. The final section considers the application of the concept of Bose-condensation of auxiliary fields to the theory of crystals, heavy atoms and also to the theory of model Hamiltonians (BCS and Dicke models).

    Reviews

    "...exposition is clear, mathematical details appearing for the first time are worked out in detail, and, what is particularly important, the physical implications of various results are discussed...solid physical arguments for every application are given." Mathematical Reviews

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