https://doi.org/10.1140/epjp/s13360-020-00930-7
Regular Article
Star product representation of coherent state path integrals
1
Facultad de Ciencias, Universidad Autónoma de San Luis Potosí Campus Pedregal, Av. Parque Chapultepec 1610, Col. Privadas del Pedregal, San Luis Potosí, 78217, SLP, Mexico
2
Dual CP Institute of High Energy Physics, Colima, Mexico
* e-mail: jasel.berra@uaslp.mx
Received:
5
July
2020
Accepted:
8
November
2020
Published online:
16
November
2020
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.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2020
