Indexed metadata
A q deformation of the Gauss distribution
Hans van Leeuwen, Hans Maassen
Source abstract
The q deformed commutation relation aa*−qa*a=1 for the harmonic oscillator is considered with q∈[−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 q deformation of the Gaussian.
Evidence graph
No public relationships recorded yet.
Integrity note: This page is a factual metadata record created by deterministic ingestion. It is not a claim that the work moves a mathematical frontier or has been independently verified.