Star product representation of coherent state path integrals

• URL: http://arxiv.org/abs/2007.02483v1
• Date: Mon, 6 Jul 2020 00:51:11 GMT
• Title: Star product representation of coherent state path integrals
• Authors: Jasel Berra-Montiel
• Abstract summary: We express the coherent state path integral as a star exponential of the Hamiltonian function for the normal product. We also compute the Husimi-Kano Q-representation of the time evolution operator.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In this paper, we determine the star product representation of coherent path integrals. By employing the properties of generalized delta functions with complex arguments, the Glauber-Sudarshan P-function corresponding to a non-diagonal density operator is obtained. Then, we compute the Husimi-Kano Q-representation of the time evolution operator in terms of the normal star product. Finally, the optical equivalence theorem allows us to express the coherent state path integral as a star exponential of the Hamiltonian function for the normal product.

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