Abstract
The construction of position dependent mass Scarf Hamiltonians of the trigonometric as well as the hyperbolic types is addressed by means of the factorization method and the Riccati equation. These Hamiltonians are shown to be independent of the ordering parameter of the kinetic term. Additionally, new families of Hamiltonians with the Scarf spectrum are also determined by supersymmetry. Some examples for masses with and without singularities are considered to illustrate our results.
| Original language | English |
|---|---|
| Pages (from-to) | 4909-4924 |
| Number of pages | 16 |
| Journal | Mathematical Methods in the Applied Sciences |
| Volume | 42 |
| Issue number | 15 |
| DOIs | |
| State | Published - 1 Oct 2019 |
Keywords
- Position-dependent mass
- Scarf potentials
- Special quantum systems, such as solvable systems
- Supersymmetry and quantum mechanics