Family of fish-eye-related models and their supersymmetric partners

Journal Article · Sat May 15 00:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.81.052109· OSTI ID:21408774

Makowski, Adam J ^[1]

---

1. Institute of Physics, Nicolaus Copernicus University, ul. GrudziaPdzka 5, PL-87-100 Torun (Poland)

A large family of potentials related to the Maxwell fish-eye model is derived with the help of conformal mappings. It is shown that the whole family admits square-integrable E=0 solutions of the Schroedinger equation for discrete values of the coupling constant. A corresponding supersymmetric family of partner potentials to the preceding ones is derived as well. Some applications of the considered potentials are also discussed.

• OSTI ID: 21408774
• Journal Information: Physical Review. A, Vol. 81, Issue 5; Other Information: DOI: 10.1103/PhysRevA.81.052109; (c) 2010 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CONFORMAL MAPPING
COUPLING CONSTANTS
INTEGRAL CALCULUS
MATHEMATICAL SOLUTIONS
POTENTIALS
SCHROEDINGER EQUATION
SUPERSYMMETRY
DIFFERENTIAL EQUATIONS
EQUATIONS
MAPPING
MATHEMATICS
PARTIAL DIFFERENTIAL EQUATIONS
SYMMETRY
TOPOLOGICAL MAPPING
TRANSFORMATIONS
WAVE EQUATIONS