Nonlinear Phenomena in Complex Systems, 2010, Vol.13, No.1, pp.100-104

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2010, Vol.13, No.1, pp.100-104

On Quasi-Exactly Solvable Problems with Several Admissible Quantum Hamiltonians.
George Krylov

Based on the generalized Bochner problem approach to quasi-exact solvability in one-dimensional quantum mechanics it is demonstrated that in general case a single QES generating linear second order ODE can have solutions that correspond to more than one quantum Hamiltonian.
Key words: Bochner problem, quantum mechanics, quasi-exact solvable problems, polynomial Ansatz, second order linear ODEs

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