Journal of Quantum Optics, Volume. 25, Issue 3, 247(2019)
The Origin of Bivariate Hermite Polynomials and Its Applications in Quantum Optics
We introduce the bivariate Hermite polynomials Hmn on quantum optics theory,using ［a,a*］=1.We explain the origin of Hmn and derive some operator identities involving Hmn. By virtue of the IWOP method we prove the orthogonal and completeness of Hmn, and using Hmn we derive the P-representation of normal ordered operators.
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YIN Peng-cheng, ZHANG Peng-fei, FAN Hong-yi. The Origin of Bivariate Hermite Polynomials and Its Applications in Quantum Optics[J]. Journal of Quantum Optics, 2019, 25(3): 247
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Received: Dec. 17, 2018
Accepted: --
Published Online: Sep. 27, 2019
The Author Email: YIN Peng-cheng (ypch@mail.ustc.edu.cn)
