Quantum phase space for the one-dimensional hydrogen atom on the hyperbola

被引:4
作者
Pogosyan, GS [1 ]
Vicent, LE
Wolf, KB
机构
[1] Joint Inst Nucl Res, Theoret Phys Lab, Dubna 141980, Moscow Region, Russia
[2] Univ Guadalajara, CUCEI, Dept Matemat, Guadalajara 44430, Jalisco, Mexico
[3] Univ Autonoma Estado Morelos, Fac Ciencias, Cuernavaca 62251, Morelos, Mexico
[4] Univ Nacl Autonoma Mexico, Ctr Ciencias Fis, Cuernavaca 62251, Morelos, Mexico
关键词
D O I
10.1063/1.1945767
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We obtain the solution of the one-dimensional hydrogen atom on the hyperbola by transforming its Schrodinger equation into the modified Poschl-Teller equation. We write explicitly the wave functions both in configuration and momentum space, and check the contraction limit of the system to the flat space model. Finally, we find the closed form of the Wigner function for the states of this system. (C) 2005 American Institute of Physics.
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页数:12
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