Open Access
VOL. 4 | 2003 Path Integral for Star Exponential Functions of Quadratic Forms
Chapter Author(s) Akira Yoshioka, Toshio Matsumoto
Editor(s) Ivaïlo M. Mladenov, Gregory L. Naber
Geom. Integrability & Quantization, 2003: 330-340 (2003) DOI: 10.7546/giq-4-2003-330-340

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

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