A class of exactly solvable potentials. II: The three-dimensional Schrödinger equation (Q1107688)
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scientific article; zbMATH DE number 4065439
| Language | Label | Description | Also known as |
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| English | A class of exactly solvable potentials. II: The three-dimensional Schrödinger equation |
scientific article; zbMATH DE number 4065439 |
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A class of exactly solvable potentials. II: The three-dimensional Schrödinger equation (English)
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1985
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[For part I see ibid. 152, 203-219 (1984; Zbl 0545.34018).] A new class of angular momentum-dependent potentials with varying depths and shapes is considered in this paper, in connection with the three- dimensional Schrödinger equation with an effective mass. The author has been able to solve for the eigenfunctions, eigenenergies and scattering function in closed form in terms of known special functions.
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angular momentum-dependent potentials
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three-dimensional Schrödinger equation
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eigenfunctions
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eigenenergies
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scattering function
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