Deformation Quantization by Moyal Star-Product and Stratonovich Chaos
R\'emi L\'eandre, Maurice Obame Nguema
TL;DR
This paper develops a deformation quantization framework using the Moyal star-product on a function space equipped with Wick product and Stratonovich chaos, bridging quantum mechanics and stochastic analysis.
Contribution
It introduces a novel deformation quantization approach combining Moyal star-product with Wick and Stratonovich chaos structures.
Findings
Established a new deformation quantization method.
Connected quantum deformation with stochastic chaos.
Provided mathematical foundations for quantum-stochastic integration.
Abstract
We make a deformation quantization by Moyal star-product on a space of functions endowed with the normalized Wick product and where Stratonovich chaos are well defined.
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