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Gaussian Quantum Fluctuations in Interacting Many Particle Systems

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Abstract

We consider a many particle quantum system, in which each particle interacts only with its nearest neighbours. Provided that the energy per particle has an upper bound, we show, that the energy distribution of almost every product state becomes a Gaussian normal distribution in the limit of infinite number of particles. We indicate some possible applications.

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Authors and Affiliations

  1. Institute of Thechnical Physics, DLR Stuttgart and Institute of Theoretical Physics I, University of Stuttgart, Germany

    Michael Hartmann

  2. Institute of Theoretical Physics I, University of Stuttgart, Germany

    Günter mahler

  3. Advanced Technology Institute, University of Surrey, United Kingdom

    Ortwin Hess

Authors
  1. Michael Hartmann
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  2. Günter mahler
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  3. Ortwin Hess
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Hartmann, M., mahler, G. & Hess, O. Gaussian Quantum Fluctuations in Interacting Many Particle Systems. Letters in Mathematical Physics 68, 103–112 (2004). https://doi.org/10.1023/B:MATH.0000043321.00896.86

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  • DOI: https://doi.org/10.1023/B:MATH.0000043321.00896.86

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