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

Collections

Department of Mathematics, Article