量子光学学报, 2011, 17 (4): 249, 网络出版: 2011-12-01
粒子数态波函数推导的新方法
New Approach for Deriving Wave Functions on Fock States in Quantum Optics Theory
波函数 正规乘积 Fock表象 纠缠态表象 number state wave function normal ordered product Fock representation entangled state representation
摘要
Fock表象是量子光学理论中的基本表象，我们给出粒子数态｜n在坐标表象x｜中的波函数的新方法，我们用有序算符内积分技术(IWOP)推导它，这一形式具有简洁优美的特点，并且可推广到其它情形。例如可以探讨在引入双模纠缠态表象后，双模粒子数态的波函数。
Abstract
Fock representation is the basic representation in quantum optics. With the technique of integration within an ordered product (IWOP) of operators we obtain the wave function of number state ｜n in the coordinate representation x｜, which is concise. This method can be extended to other representations. By introducing the two-mode entangled state representation we also present the wave function of two-mode number state.
展德会, 周军, 范洪义. 粒子数态波函数推导的新方法[J]. 量子光学学报, 2011, 17(4): 249. ZHAN De-hui, ZHOU Jun, FAN Hong-yi. New Approach for Deriving Wave Functions on Fock States in Quantum Optics Theory[J]. Acta Sinica Quantum Optica, 2011, 17(4): 249.
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