A new class of quasi-exactly solvable potentials with a variable mass in the Schrödinger equation is presented. We have derived a general expression for the potentials, including Natanzon confluent potentials. The general solution of the Schrödinger equation is determined and the eigenstates are expressed in terms of the orthogonal polynomials.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)