Exact solvability of potentials with spatially dependent effective masses

By A. De, Souza Dutra. 2000

153 citations recorded by the source corpus.

We discuss the relationship between exact solvability of the Schroedinger equation, due to a spatially dependent mass, and the ordering ambiguity. Some examples show that, even in this case, one can find exact solutions. Furthermore, it is demonstrated that operators with linear dependence on the momentum are nonambiguous.

Subfields: Applied Mathematics, Atomic and Molecular Physics, and Optics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/68150ba04faef28c94a9bcafc8c3290cda4a3f4f