A regularized semiclassical approximation for quantum mechanics (Q1395256)
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scientific article; zbMATH DE number 1940636
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A regularized semiclassical approximation for quantum mechanics |
scientific article; zbMATH DE number 1940636 |
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A regularized semiclassical approximation for quantum mechanics (English)
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1 July 2003
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In this paper the authors obtain regular semiclassical representations for wave functions in one-dimensional and centrally symmetric potentials with one or two turning points. The interpolated wave functions have logarithmic derivatives equal to the logarithmic derivatives of the exact solutions in the neigborhoods of the turning points. Approximations in terms of the elementary functions are obtained for the Airy functions.
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wave functions
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Schrödinger equation
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semiclassical approximation
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potenial energy
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turning point
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regularization
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solution
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turning points
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