Abstract
The Moyal product is considered on the complex plane $\mathbb{C}^2$. Path integral representation of $\ast$-exponential function is given for a quadratic form on $\mathbb{C}^2, H = ax^2 + 2bxy +cy^2$ for $(x,y) \in \mathbb{C}^2$, where $a,b,c \in \mathbb{C}$.
Information
Published: 1 January 2003
First available in Project Euclid: 12 June 2015
zbMATH: 1039.53105
MathSciNet: MR1977580
Digital Object Identifier: 10.7546/giq-4-2003-330-340
Rights: Copyright © 2003 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences