 95180 Hans van Leeuwen, Hans Maassen
 A qdeformation of the Gauss distribution
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Mar 31, 95

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Abstract. The qdeformed commutation relation a a*  q a* a = 1 for the harmonic
oscillator is considered with q in [1,1]. An explicit representation
generalizing the Bargmann representation of analytic functions on the
complex plane is constructed. In this representation the distribution
of a + a* in the vacuum state is explicitly calculated. This distribution
is to be regarded as the natural qdeformation of the Gaussian.
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