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- Title
Relativistic Generalizations of the Quantum Harmonic Oscillator.
- Authors
POSZWA, A.
- Abstract
We investigate the dynamics of the spin-less relativistic particle subject to an external field of a harmonic oscillator potential. The Klein-Gordon equation with one- and three-dimensional vector and scalar parabolic potentials is solved using the expansion of the wavefunction in properly selected basis-sets. The resonance states are determined using the complex coordinate rotation method. The analytic expressions for the first- and secondorder relativistic energy corrections are derived perturbatively. The relativistic model of the harmonic oscillator in the momentum representation, originally proposed by Znojil, is also discussed.
- Subjects
QUANTUM harmonic oscillators; HARMONIC oscillators; RELATIVITY (Physics); KLEIN-Gordon equation; WAVE functions; RELATIVISTIC quantum mechanics; QUANTUM field theory
- Publication
Acta Physica Polonica: A, 2014, Vol 126, Issue 6, p1226
- ISSN
0587-4246
- Publication type
Article
- DOI
10.12693/APhysPolA.126.1226