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A New Proof for the Harmonic-Potential Theorem |
CHEN Jin-Wang, YANG Tao, PAN Xiao-Yin** |
Department of Physics, Ningbo University, Ningbo 315211
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Cite this article: |
CHEN Jin-Wang, YANG Tao, PAN Xiao-Yin 2013 Chin. Phys. Lett. 30 020303 |
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Abstract We investigate the time evolution of the wave function for a many-particle system in an external harmonic potential and a spatially homogeneous time-dependent driving field. The time-dependent wave function is found to be a phase factor times the shifted initial state wave function. This then provides a new proof of the harmonic-potential theorem.
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Received: 02 November 2012
Published: 02 March 2013
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PACS: |
03.65.Ge
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(Solutions of wave equations: bound states)
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68.65.Hb
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(Quantum dots (patterned in quantum wells))
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Abstract
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