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An eigenfunction expansion for the Schrodinger equation with arbitrary non-central potentials
Date
2002-11-01
Author
Taşeli, Hasan
Uğur, Ömür
Metadata
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An eigenfunction expansion for the Schrodinger equation for a particle moving in an arbitrary non-central potential in the cylindrical polar coordinates is introduced, which reduces the partial differential equation to a system of coupled differential equations in the radial variable r. It is proved that such an orthogonal expansion of the wavefunction into the complete set of Chebyshev polynomials is uniformly convergent on any domain of (r, theta). As a benchmark application, the bound states calculations of the quartic oscillator show that both analytical and numerical implementations of the present method are quite satisfactory.
Subject Keywords
Two-dimensional Schrodinger equation
,
Eigenfunction expansion
,
Eigenvalue problems
URI
https://hdl.handle.net/11511/32558
Journal
JOURNAL OF MATHEMATICAL CHEMISTRY
DOI
https://doi.org/10.1023/a:1022949421571
Collections
Graduate School of Applied Mathematics, Article
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H. Taşeli and Ö. Uğur, “An eigenfunction expansion for the Schrodinger equation with arbitrary non-central potentials,”
JOURNAL OF MATHEMATICAL CHEMISTRY
, pp. 323–338, 2002, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/32558.