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Coherent states and partition function

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Abstract

The concept of coherent states for arbitrary Lie group is suggested as a tool for explicitly obtaining an integral representation of the partition function, whenever the Hamiltonian has a dynamical group. Two examples are thoroughly discussed: the case of the nilpotent group of Weyl related to a generic many-body problem with two-body interactions, and the case of\(\mathop \Pi \limits_{k^ \otimes }\) SU(1, 1)(κ) relevant for a superfluid system.

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References

  • Abrikosov, A. A., Gorkov, L. P., and Dzialoshinski, J. E. (1963).Methods of Quantum Field Theory in Statistical Physics. Prentice-Hall, New Jersey.

    Google Scholar 

  • Bassichis, W. H., and Foldy, L. L. (1964).Physical Review,133, A935-A943.

    Google Scholar 

  • Bloch, C., and De Dominicis, C. T. (1958).Nuclear Physics,7, 459–479.

    Google Scholar 

  • Bloch, C., and De Dominicis, C. T. (1959).Nuclear Physics,10, 181–196.

    Google Scholar 

  • Dyson, F. J. (1956).Physical Review,102, 1217–1230.

    Google Scholar 

  • Helgason, S. (1962).Differential Geometry and Symmetric Spaces. Academic Press, New York.

    Google Scholar 

  • Helgason, S. (1965).Bulletin of the American Mathematical Society,71, 757–763.

    Google Scholar 

  • Karpelevic, F. I. (1965).Trudy Moskovskava Matematicheskava Obsčestva,14, 48–185.

    Google Scholar 

  • Klauder, J. R. (1970).Journal of Mathematical Physics,11, 609–630.

    Google Scholar 

  • Langer, J. S. (1968).Physical Review,167, 183–190.

    Google Scholar 

  • Perelomov, A. M. (1972).Communications in Mathematical Physics,26, 222–236.

    Google Scholar 

  • Perelomov, A. M. (1973).Theoretical Mathematical Physics,16, 303–314.

    Google Scholar 

  • Rasetti, M. (1973).International Journal of Theoretical Physics,13, 425–430.

    Google Scholar 

  • Solomon, A. I. (1971).Journal of Mathematical Physics,12, 390–394.

    Google Scholar 

  • Vilenkin, N. J. (1968).American Mathematical Society Translations,22.

Download references

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Rasetti, M. Coherent states and partition function. Int J Theor Phys 14, 1–21 (1975). https://doi.org/10.1007/BF01807988

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  • DOI: https://doi.org/10.1007/BF01807988

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