THE q-DEFORMED SCHRÖDINGER EQUATION OF THE HARMONIC OSCILLATOR ON THE QUANTUM EUCLIDEAN SPACE
1994 ◽
Vol 09
(22)
◽
pp. 3989-4008
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Keyword(s):
We consider the q-deformed Schrödinger equation of the harmonic oscillator on the N-dimensional quantum Euclidean space. The creation and annihilation operators are found, which systematically produce all energy levels and eigenfunctions of the Schrödinger equation. In order to get the q series representation of the eigenfunction, we also give an alternative way to solve the Schrödinger equation which is based on the q analysis. We represent the Schrödinger equation by the q difference equation and solve it by using q polynomials and q exponential functions.
Approximate Solution of Schrödinger Equation with Pseudo-Gaussian Potential Viewed as a Perturbation
2015 ◽
Vol 58
(1)
◽
pp. 7-13
2012 ◽
Vol 45
(26)
◽
pp. 265303
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Keyword(s):
2015 ◽
Vol 30
(38)
◽
pp. 1550182
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2018 ◽
Vol 20
(41)
◽
pp. 26297-26302
◽
2005 ◽
Vol 11
(8)
◽
pp. 779-782
◽
Keyword(s):