Relativistic Generalizations of the Quantum Harmonic Oscillator

• Authors: A. Poszwa
• Languages of publication: EN

Abstracts

EN

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 second-order relativistic energy corrections are derived perturbatively. The relativistic model of the harmonic oscillator in the momentum representation, originally proposed by Znojil, is also discussed.

Keywords

EN

03.65.-w

Discipline

• 03.65.-w: Quantum mechanics[see also 03.67.-a Quantum information; 05.30.-d Quantum statistical mechanics; 31.30.J- Relativistic and quantum electrodynamics (QED) effects in atoms, molecules, and ions in atomic physics]

• Journal: Acta Physica Polonica A
• Year: 2014
• Volume: 126
• Issue: 6
• Pages: 1226-1234

Dates

published

2014-12

received

2014-03-27

Contributors

author

A. Poszwa

• Department of Physics and Computer Methods, University of Warmia and Mazury in Olsztyn, Słoneczna 54, 10-710 Olsztyn, Poland

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Identifiers

DOI

10.12693/APhysPolA.126.1226