Path integral for star exponential functions of quadratic forms. (English) Zbl 1039.53105
Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 4th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 6–15, 2002. Sofia: Coral Press Scientific Publishing (ISBN 954-90618-4-1/pbk). 330-340 (2003).
The -exponential function
for the Moyal -product
of functions on , where – -times, is studied. Proving the Trotter type formula
for , the authors conclude that
for any quadratic function with .
|53D55||Deformation quantization, star products|
|81S40||Path integrals in quantum mechanics|