Conditionally exactly solvable potentials: A supersymmetric construction method

Abstract

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 Schrödinger eigenvalue problem can be solved exactly under certain conditions of the potential parameters. Examples of quantum systems on the real line, the half line as well as on some finite interval are studied in detail.

24 pages, 11 figures, LaTeX209, amsfonts

References in corpus (5)

• Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
• Schrödinger operators with complex potential but real spectrum
• Quasi-exactly solvable quartic potential
• SUSY Quantum Mechanics with Complex Superpotentials and Real Energy Spectra
• Supersymmetric Construction of Exactly Solvable Potentials and Non-Linear Algebras

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