Approximate Solution of Schrödinger Equation with Pseudo-Gaussian Potential Viewed as a Perturbation
2015 ◽
Vol 58
(1)
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pp. 7-13
Keyword(s):
Abstract We consider the Schrödinger equation with pseudo-Gaussian potential and point out that it is basically made up by a term representing the harmonic oscillator potential and an additional term, which is actually a power series that converges rapidly. Based on this observation the system can be considered as a perturbation of harmonic oscillator. The perturbation method is used to approximate the energy levels of pseudo- Gaussian oscillator. The results are compared with those obtained in the analytic and numeric case.
2007 ◽
Vol 398
(2)
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pp. 460-463
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2018 ◽
Vol 2
(3)
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pp. 187-191
2014 ◽
Vol 61
(2)
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pp. 149-152
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1994 ◽
Vol 09
(22)
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pp. 3989-4008
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2006 ◽
Vol 20
(32)
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pp. 5417-5425
2021 ◽