中国物理B ›› 2016, Vol. 25 ›› Issue (8): 80303-080303.doi: 10.1088/1674-1056/25/8/080303
Feng Chen(陈锋), Hong-Yi Fan(范洪义)
Feng Chen(陈锋)1, Hong-Yi Fan(范洪义)2
摘要:
By virtue of the operator Hermite polynomial method[Fan H Y and Zhan D H 2014Chin. Phys. B 23 060301] we find a new special function which is useful in quantum optics theory, whose expansion involving both power-series and Hermite polynomials, i.e.,
??? (n!m!(-1)l/l!(n-l)!(m-l)!)Hn-l(x)ym-l≡ϑn, m(x, y).
By virtue of the operator Hermite polynomial method and the technique of integration within ordered product of operators (IWOP) we derive its generating function. The circumstance in which this new special function appears and is applicable is considered.
中图分类号: (Quantum mechanics)