量子光学学报, 2014, 20 (4): 279, 网络出版: 2014-12-08
用压缩态理论导出偶-奇数阶厄密多项式的无穷和
Generating Function Formulas of Even-and Odd-Hermite Polynomials Derived by Using the Squeezed State Theory
摘要
利用有序算符内积分技术, 用压缩态理论导出偶数阶厄密多项式H2n(x)和奇数阶H2n+1(x)的无穷和。并提出用量子力学算符Hermite多项式方法计算奇-偶相干态的波函数。我们用的新途径具有物理意义鲜明的特点。
Abstract
Using the technique of integration within an ordered product of operators, employing the squeezed state theory, we derived the generating function formulas of even-and odd-Hermite polynomials.We also used the operator Hermite polynomial method to calculate the wave function of even-and odd-coherent states.This method is concise and physically appealing.
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吴卫锋, 范洪义. 用压缩态理论导出偶-奇数阶厄密多项式的无穷和[J]. 量子光学学报, 2014, 20(4): 279. WU Wei-feng, FAN Hong-yi. Generating Function Formulas of Even-and Odd-Hermite Polynomials Derived by Using the Squeezed State Theory[J]. Acta Sinica Quantum Optica, 2014, 20(4): 279.