Gaussian quantum fluctuations in interacting many particle systems

Details Gaussian quantum fluctuations in interacting many particle systems Gaussian quantum fluctuations in interacting many particle systems

2003-12-17

arxiv.org/abs/math-ph/0312045v2

Lett. Math. Phys. 68, 103-112 (2004)

Physics

Mathematical Physics

10 pages, formulation made mathematically more precise, two examples added, accepted for publication in Letters in Mathematica

Scientific paper

10.1023/B:MATH.0000043321.00896.

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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