Abstract
We study the two field correlator of an Impenetrable Bose gas. Lenard [1] proved that the equal time correlator can be represented as a Fredholm minor. We generalize this representation to the time dependent correlator.
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Lenard, A.: One-dimensional impenetrable bosons in thermal equilibrium. J. Math. Phys.7, 1268–1272 (1966)
Lieb, E. H., Mattis, D. C. (eds.): Mathematical physics in one dimension. New York, London: Academic Press 1966
Yang, C. N., Yang, C. P.: Thermodynamics of a one-dimensional system of bosons with repulsive delta-function interaction. J. Math. Phys.10, 1115–1122 (1969)
Jimbo, M., Miwa, T., Mori, Y., Sato, M.: Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent. Physica1D, 80–158 (1980)
Its, A. R., Izergin, A. G., Korepin, V. E.: Completely integrable differential equations for temperature correlation functions of an impenetrable Bose gas, submitted to CMP, Preprint. International Centre for Theoretical Physics, Miramare-Trieste (1989), IC/89/139
Bogoliubov, N. M., Izergin, A. G., Korepin, V. E.: Quantum inverse scattering method and correlation functions. Shastry, B. S., Jha, S. S., Singh, V. (eds.): Lecture Notes in Physics, vol.242, p. 243. Berlin, Heidelberg, New York: Springer 1985
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Communicated by A. Jaffe
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Korepin, V.E., Slavnov, N.A. The time dependent correlation function of an Impenetrable Bose gas as a Fredholm minor.I . Commun.Math. Phys. 129, 103–113 (1990). https://doi.org/10.1007/BF02096781
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DOI: https://doi.org/10.1007/BF02096781