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Conditionally exactly solvable potentials: A supersymmetric construction method
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DOI：10.1006/aphy.1998.5856.png)
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We present in this paper a rather general method for the construction of so-called conditionally exactly solvable potentials. This method is based on algebraic tools known from supersymmetric quantum mechanics. Various families of one-dimensional potentials are constructed whose corresponding Schrodinger eigenvalue problem can be solved exactly under certain conditions of the potential parameters. Examples of quantum systems on the real line and the half line as well as on some finite interval are studied in detail. (C) 1998 Academic Press.
Keyword:
SCHRODINGER-EQUATION
QUANTUM-MECHANICS
SPECTRUM
OSCILLATOR
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