Bound States of the Perturbed Schrödinger Systems

Chin. Phys. Lett.

1998, Vol. 15

Issue (7): 472-474 DOI:

Original Articles

Bound States of the Perturbed Schrödinger Systems

HAI Wen-hua

CCAST (World Laboratory), P. O. Box 8730, Beijing 100080, and Department of Physics, Hunan Normal University, Changsha 410081

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HAI Wen-hua 1998 Chin. Phys. Lett. 15 472-474

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Abstract A bound state of the Schrödinger system is disturbed by an additional potential. It is shown that the system is still in a bound state if and only if its energy correction is restricted to the corresponding value. This infers some previous series solutions in quantum mechanics to be unbound states for the order i > 1 of perturbation. The corrected bound states of the system are given and their physical meaning is discussed simply. Application of the method to Stark effect reveals its advantage for researches of quantum chaos.

Keywords: 03.65.Bz 03.65.Ge 31.15.+q

Published: 01 July 1998

PACS:	03.65.Bz
	03.65.Ge	(Solutions of wave equations: bound states)
	31.15.+q

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y1998/V15/I7/0472

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