Mapping between charge-monopole and position-dependent mass systems
| Autor: | Anderson L. de Jesus, Alexandre G. M. Schmidt |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Physics
Mass distribution 010308 nuclear & particles physics Magnetic monopole Statistical and Nonlinear Physics Charge (physics) 01 natural sciences Electric charge Charged particle Schrödinger equation symbols.namesake Quantum electrodynamics 0103 physical sciences symbols 010306 general physics Wave function Mathematical Physics Bessel function |
| Zdroj: | Journal of Mathematical Physics. 59:102101 |
| ISSN: | 1089-7658 0022-2488 |
| DOI: | 10.1063/1.5039622 |
| Popis: | We study the non-relativistic charge-monopole system when the charged particle has a position-dependent mass written as M(r) = m0rw. The angular wave functions are the well-known monopole harmonics, and the radial ones are ordinary Bessel functions which depend on the magnetic and electric charge product as well as on the w parameter. We investigate mappings—approximate and exact—between the charge-monopole system with constant mass and the charge with a position-dependent mass solving the position-dependent mass Schrodinger equation for the mass distribution.We study the non-relativistic charge-monopole system when the charged particle has a position-dependent mass written as M(r) = m0rw. The angular wave functions are the well-known monopole harmonics, and the radial ones are ordinary Bessel functions which depend on the magnetic and electric charge product as well as on the w parameter. We investigate mappings—approximate and exact—between the charge-monopole system with constant mass and the charge with a position-dependent mass solving the position-dependent mass Schrodinger equation for the mass distribution. |
| Databáze: | OpenAIRE |
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