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math-ph2018
Infinite families of position-dependent mass Schrödinger equations with known ground and first excited states
C. Quesne
A construction method of infinite families of quasi-exactly solvable position-dependent mass Schrödinger equations with known ground and first excited states is proposed in a defor…
math-ph2018
Quasi-exactly solvable Schrödinger equations, symmetric polynomials, and functional Bethe ansatz method
C. Quesne
For applications to quasi-exactly solvable Schrödinger equations in quantum mechanics, we consider the general conditions that have to be satisfied by the coefficients of a second-…