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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
【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Schrdinger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.
【Abstract】 The method of wave mechanics in the quantum phase-space representation established by TorresVega 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 Schrdinger equation for one-dimensional hydrogen atom are obtained.It is described that the wave functions are not unique in phase space.
【关键词】 量子相空间;
波动力学;
严格解;
投影变换;
氢原子;
【Key words】 quantum phase space; wave mechanics; rigorous solution; projection transformation; hydrogen atom;
【Key words】 quantum phase space; wave mechanics; rigorous solution; projection transformation; hydrogen atom;
【基金】 国家自然科学基金(20273008);北京市优秀人才培养资助(20051D0502209)
- 【文献出处】 河北师范大学学报(自然科学版) ,Journal of Hebei Normal University(Natural Science Edition) , 编辑部邮箱 ,2007年02期
- 【分类号】O413.1
- 【被引频次】1
- 【下载频次】128