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The Harmonic Potential Theorem for a Quantum System with Time-Dependent Effective Mass |
| LAI Meng-Yun, XIAO Duan-Liang, PAN Xiao-Yin** |
| Department of Physics, Ningbo University, Ningbo 315211 |
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| Cite this article: |
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LAI Meng-Yun, XIAO Duan-Liang, PAN Xiao-Yin 2015 Chin. Phys. Lett. 32 110301 |
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Abstract We investigate the many-body wave function of a quantum system with time-dependent effective mass, confined by a harmonic potential with time-dependent frequency, and perturbed by a time-dependent spatially homogeneous electric field. It is found that the wave function is comprised of a phase factor times the solution to the unperturbed time-dependent Schrödinger equation with the latter being translated by a time-dependent value that satisfies the classical driven equation of motion. The wave function reduces to that of the harmonic potential theorem wave function when both the effective mass and frequency are static. An example of application is also given.
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Received: 17 August 2015
Published: 01 December 2015
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| PACS: |
03.65.Ge
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(Solutions of wave equations: bound states)
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03.65.Fd
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(Algebraic methods)
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05.30.-d
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(Quantum statistical mechanics)
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