Published October 2019
| Version v1
Journal article
Darboux transformations of the one-dimensional stationary Dirac equation with linear potential and its new solutions
Creators
- 1. Department of Physics, University of Guilan, Rasht, 51335-1914 (Iran, Islamic Republic of)
Description
We study the Darboux transformation method for one-dimensional stationary Dirac equation with linear potential. We obtain new exactly solvable potentials associated to new solutions of the first Hamiltonian and a series of new Hamiltonians are obtained. Finally, as a particular case, we introduce another form of the Darboux operator that is applicable to generating new potentials.
Availability note (English)
Available from http://dx.doi.org/10.1016/j.aop.2019.167920Additional details
Identifiers
- DOI
- 10.1016/j.aop.2019.167920;
- PII
- S0003491619301757;
Publishing Information
- Journal Title
- Annals of Physics (New York)
- Journal Volume
- 409
- Journal Page Range
- p. 167920
- ISSN
- 0003-4916
- CODEN
- APNYA6
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 51009997
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- DIRAC EQUATION; EXACT SOLUTIONS; HAMILTONIANS; ONE-DIMENSIONAL CALCULATIONS; TRANSFORMATIONS
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD EQUATIONS; MATHEMATICAL OPERATORS; MATHEMATICAL SOLUTIONS; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM OPERATORS; WAVE EQUATIONS
Optional Information
- Notes
- © 2019 Elsevier Inc. All rights reserved.