Two-parameter families of exactly solvable quantum systems are constructed via tridiagonal representations, producing energy-dependent orthogonal polynomials and potentials that can induce bound states from continuous spectra when parameters exceed critical values.
Szegő, Orthogonal Polynomials (American Mathematical Society, 1939)
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Two-parameter classes of exactly solvable quantum systems
Two-parameter families of exactly solvable quantum systems are constructed via tridiagonal representations, producing energy-dependent orthogonal polynomials and potentials that can induce bound states from continuous spectra when parameters exceed critical values.