Solution of the Logunov–Tavkhelidze Equation for the Three-Dimensional Oscillator Potential in the Relativistic Configuration Representation

Solution of the Logunov–Tavkhelidze Equation for the Three-Dimensional Oscillator Potential in the Relativistic Configuration Representation

Approximate analytical and numerical solutions of the three-dimensional Logunov–Tavkhelidze equation are found for the spherically symmetric case. Solutions are obtained in momentum and relativistic configuration representations. The wave functions in the relativistic configuration representation ha...

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Veröffentlicht in:Russian physics journal 2019, Vol.61 (9), p.1645-1652
Hauptverfasser: Grishechkin, Yu. A., Kapshai, V. N.
Format: Artikel
Sprache:eng
Schlagworte:
Condensed Matter Physics
Configurations
Hadrons
Harmonic functions
Harmonic oscillators
Heavy Ions
Lasers
Mathematical and Computational Physics
Nuclear Physics
Optical Devices
Optics
Photonics
Physics
Physics and Astronomy
Quantum theory
Relativism
Relativistic effects
Representations
Theoretical
Wave functions
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Beschreibung
Zusammenfassung:Approximate analytical and numerical solutions of the three-dimensional Logunov–Tavkhelidze equation are found for the spherically symmetric case. Solutions are obtained in momentum and relativistic configuration representations. The wave functions in the relativistic configuration representation have additional zeroes compared to the wave functions of the nonrelativistic harmonic oscillator in the coordinate representation.
ISSN:1064-8887
1573-9228
DOI:10.1007/s11182-018-1582-4