Abstract
As an example of symmetry breaking at non-zero temperature we discuss the free Fermi and Bose gas, starting from finite volume and then discussing the thermodynamical limit.
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Here we give a short and simplified account; for a mathematically more complete treatment, see O. Bratteli and D.W. Robinson, loc. cit., Vol. II, Sects. 5.2.4, 5.2.5.
For the explicit inversion see A. Leonard, Phys. Rev. 175, 221 (1968).
See J. Cannon, Comm. Math. Phys. 29, 89 (1973) and O. Bratteli and D.W. Robinson, loc. cit., Vol. II, pp. 72-73.
N.N. Bogoliubov, Lectures on Quantum Statistics, Vol. 2, Part 1, Gordon and Breach 1970.
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© 2008 Springer-Verlag Berlin Heidelberg
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Strocchi, F. (2008). Fermi and Bose Gas at Non-zero Temperature. In: Symmetry Breaking. Lecture Notes in Physics, vol 732. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73593-9_23
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DOI: https://doi.org/10.1007/978-3-540-73593-9_23
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-73592-2
Online ISBN: 978-3-540-73593-9
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