量子相空间理论与氢原子严格解  

Theory of Quantum Phase Space and Rigorous Solution of Hydrogen Atom

作　　者：陆军[1] 

机构地区：[1]北京联合大学基础部

出　　处：《河北师范大学学报（自然科学版）》2007年第2期177-180,194,共5页Journal of Hebei Normal University：Natural Science

基　　金：国家自然科学基金(20273008);北京市优秀人才培养资助(20051D0502209)

摘　　要：探讨了Torres-Vega和Frederick量子相空间表象中的波动力学方法,以及相空间表象与位移表象和动量表象之间的“类Fourier”投影变换;获得了一维氢原子体系定态Schrdinger方程在相空间表象中的严格解;揭示了相空间中波函数的不唯一性.The method of wave mechanics in the quantum phase-space representation established by Torres- Vega and Frederick is introduced. The ＂Fourier-like＂ projection transformation between phase-space representation and position or momentum representation is discussed. The rigorous solutions of stationary Schroedinger equation for one-dimensional hydrogen atom are obtained. It is described that the wave functions are not unique in ohase soace.

关 键 词：量子相空间 波动力学 严格解 投影变换 氢原子 

分 类 号：O413[理学—理论物理]