Flatland Position-Dependent-Mass: Polar Coordinates, Separability and Exact Solvability

Abstract

The kinetic energy operator with position-dependent-mass in plane polar coordinates is obtained. The separability of the corresponding Schrödinger equation is discussed. A hypothetical toy model is reported and two exactly solvable examples are studied.

References in corpus (9)

• Ordering ambiguity revisited via position dependent mass pseudo-momentum operators
• Quantum particles trapped in a position-dependent mass barrier; a d-dimensional recipe
• N-fold Supersymmetry in Quantum Systems with Position-dependent Mass
• d-Dimensional generalization of the point canonical transformation for a quantum particle with position-dependent mass
• A singular position-dependent mass particle in an infinite potential well
• $\eta$-weak-Pseudo-Hermiticity generators and exact solvability
• Non-Hermitian d-dimensional Hamiltonians with position dependent mass and their $\eta$-pseudo-Hermiticity generators
• Ordering ambiguity versus representation
• Non-Hermitian von Roos Hamiltonian's $\eta$-weak-pseudo-Hermiticity, isospectrality and exact solvability

Cited by in corpus (1)

• A Family of Exactly Solvable Radial Quantum Systems on Space of Non-Constant Curvature with Accidental Degeneracy in the Spectrum