A New Proof for the Harmonic-Potential Theorem

doi:10.1088/0256-307X/30/2/020303

Chin. Phys. Lett.

2013, Vol. 30

Issue (2): 020303 DOI: 10.1088/0256-307X/30/2/020303

GENERAL

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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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.

Received: 02 November 2012 Published: 02 March 2013

PACS:	03.65.Ge	(Solutions of wave equations: bound states)
	68.65.Hb	(Quantum dots (patterned in quantum wells))

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https://cpl.iphy.ac.cn/10.1088/0256-307X/30/2/020303 OR https://cpl.iphy.ac.cn/Y2013/V30/I2/020303

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