Rigorous Solutions for the One-Dimensional Hartmann Potential in the Quantum Phase-Space Representation |
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| Authors: | Qian Shu Li Li Qiang Lü Gong Min Wei |
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| Affiliation: | (1) The Institute for Chemical Physics, Beijing Institute of Technology, Beijing, 100081, People’s Republic of China;(2) Department of Physics, Capital Normal University, Beijing, 100037, People’s Republic of China |
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| Abstract: | The rigorous solutions of the Schrödinger equation with the one-dimensional Hartmann potential for a particle are solved and discussed within the framework of the quantum phase space representation established by Torres-Vega and Frederick. For a simple example, the uncertainty principle for the quantum probability density functions is revealed in phase space representation. |
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| Keywords: | rigorous solutions Schr?dinger equation quantum phase space representation |
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