Neutron in the magnetic field of a linear conductor with current as an example of the two-dimensional supersymmetric problem
- 1 January 1991
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 43 (1) , 29-34
- https://doi.org/10.1103/physreva.43.29
Abstract
The exact solution is presented for the quantum-mechanical problem of a neutron interacting with the magnetic field of a linear conductor with current. It is shown that this problem has a supersymmetry. The energy spectrum and eigenfunctions are derived in a closed form using this supersymmetry.Keywords
This publication has 7 references indexed in Scilit:
- Bound states of neutrons in the cylindrically symmetric magnetic field of a thin current carrying wirePhysics Letters A, 1989
- Explicit wavefunctions for shape-invariant potentials by operator techniquesJournal of Physics A: General Physics, 1988
- Supersymmetry, shape invariance, and exactly solvable potentialsAmerican Journal of Physics, 1988
- Relationship between supersymmetry and solvable potentialsPhysical Review D, 1987
- Aspects of supersymmetric quantum mechanicsAnnals of Physics, 1983
- Fermionic coordinates and supersymmetry in quantum mechanicsNuclear Physics B, 1982
- Dynamical breaking of supersymmetryNuclear Physics B, 1981