https://doi.org/10.1140/epjp/i2019-12931-4
Regular Article
Nonrelativistic potential well problem in GUP formalism: Laplace transform approach
1
Department of Physics, University of Guilan, Rasht, Iran
2
Department of Basic Sciences, Garmsar Branch, Islamic Azad University, Garmsar, Iran
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Received:
22
June
2019
Accepted:
27
July
2019
Published online:
31
October
2019
Abstract
The Schrödinger equation is considered in the minimal length formalism with the potential well problem. The equation, in an approximate scheme, appears in fourth-order form, which has not been extensively discussed in the literature. We transform the problem into Laplace space and the wave functions as well as energy spectra of the modified Schrödinger equation are calculated using the basic properties of this integral transform. The bound and continuous states are discussed in full detail.
© Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature, 2019
