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On the exact solution of the Schrodinger equation with a quartic anharmonicity
Date
1996-01-05
Author
Taşeli, Hasan
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A new version of solutions in the form of an exponentially weighted power series is constructed for the two-dimensional circularly symmetric quartic oscillators, which reflects successfully the desired properties of the exact wave function. The regular series part is shown to be the solution of a transformed equation. The transformed equation is applicable to the one-dimensional problem as well. Moreover, the exact closed-form eigenfunctions of the harmonic oscillator can be reproduced as a special case of the present wave function. (C) 1996 John Wiley & Sons, Inc.
Subject Keywords
Potentials
,
Energy-levels
,
Quantum-theory
,
Eigenvalue problems
,
Coupled oscillators
URI
https://hdl.handle.net/11511/53579
Journal
INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY
Collections
Department of Mathematics, Article
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H. Taşeli, “On the exact solution of the Schrodinger equation with a quartic anharmonicity,”
INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY
, pp. 63–71, 1996, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/53579.