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Quantum Statistics – The Bose–Einstein Distribution

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Abstract

The general description of bosons was provided in the introductory paragraphs of Chap. 3. As said, the crucial difference between bosons and fermions is that in the case of bosons, Pauli’s exclusion principle does not apply. In this chapter, we study the statistical mechanics of bosons.

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Notes

  1. 1.

    Exercise 4.1 Fill in the detailed derivation.

  2. 2.

    Exercise 4.2 Show this.

  3. 3.

    Exercise 4.3 Show this.

  4. 4.

    In 1995 the first gaseous condensate was produced by Eric Cornell and Carl Wieman at the University of Colorado, using a gas of rubidium atoms cooled to 170 nanokelvin. For their achievements Cornell, Wieman, and Wolfgang Ketterle of MIT received the 2001 Nobel Prize in Physics. In November 2010 the first photon BEC was observed.

  5. 5.

    Exercise 4.8 Fill in the details.

References

  1. F. Mandl, Statistical Physics (Wiley, Chichester, 1971)

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  2. R.K. Pathria, Statistical Mechanics, 2nd edn. (Elsevier: Butterworth-Heinemann, Oxford, 1996)

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Correspondence to Neri Merhav .

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Merhav, N. (2018). Quantum Statistics – The Bose–Einstein Distribution. In: Statistical Physics for Electrical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-62063-3_4

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  • DOI: https://doi.org/10.1007/978-3-319-62063-3_4

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-62062-6

  • Online ISBN: 978-3-319-62063-3

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