A singular position-dependent mass particle in an infinite potential well
Copyright policy )A singular position-dependent mass particle in an infinite potential well
We consider an unusual singular position=dependent-mass particle in an infinite potential well. The corresponding Hamiltonian is mapped through a point-canonical-transformation and an explicit correspondence between the target Hamiltonian and a Poschl-Teller type reference Hamiltonian is obtained. New ordering ambiguity parametric setting are suggested.
13 pages, no figures. To appear in Phys. Lett. A
- Doğu Akdeniz Üniversitesi Turkey
- Eastern Mediterranean University
- Physics department Switzerland
Position-dependent-mass, MULTIDISCIPLINARY, Poschl-Teller potential, Quantum Physics, FOS: Physical sciences, Pöschl–Teller potential, Pöschl-Teller potential, SEMICONDUCTORS, SEMICONDUCTORS, PHYSICS, OPERATORS, SCHRODINGER-EQUATION, PHYSICS, Position-dependent-mass, Ordering ambiguity, Point-canonical-transformation, point-canonical-transformation, Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics, Pöschl–Teller potential, Poschl-Teller potential, ALGEBRAS, ordering ambiguity, OPERATORS, Quantum Physics, position-dependent-mass, Point-canonical-transformation, EXACT SOLVABILITY, Pöschl-Teller potential, Ordering ambiguity, EXACT SOLVABILITY, CLUSTERS, ALGEBRAS, SCHRODINGER-EQUATION, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, CLUSTERS, Quantum Physics (quant-ph), MULTIDISCIPLINARY
Position-dependent-mass, MULTIDISCIPLINARY, Poschl-Teller potential, Quantum Physics, FOS: Physical sciences, Pöschl–Teller potential, Pöschl-Teller potential, SEMICONDUCTORS, SEMICONDUCTORS, PHYSICS, OPERATORS, SCHRODINGER-EQUATION, PHYSICS, Position-dependent-mass, Ordering ambiguity, Point-canonical-transformation, point-canonical-transformation, Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics, Pöschl–Teller potential, Poschl-Teller potential, ALGEBRAS, ordering ambiguity, OPERATORS, Quantum Physics, position-dependent-mass, Point-canonical-transformation, EXACT SOLVABILITY, Pöschl-Teller potential, Ordering ambiguity, EXACT SOLVABILITY, CLUSTERS, ALGEBRAS, SCHRODINGER-EQUATION, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, CLUSTERS, Quantum Physics (quant-ph), MULTIDISCIPLINARY
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