Non-relativistic quantum effects on the harmonic oscillator in a spacetime with a distortion of a vertical line into a vertical spiral

Non-relativistic quantum effects on the harmonic oscillator in a spacetime with a distortion of a vertical line into a vertical spiral

Non-relativistic quantum effects of the topology of the spacetime with the distortion of a vertical line into a vertical spiral on the harmonic oscillator are investigated. By searching for analytical solutions to the Schrödinger equation in this topological defect background, it is shown that the t...

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Veröffentlicht in:The European physical journal. C, Particles and fields Particles and fields, 2019-08, Vol.79 (8), p.1-5, Article 657
Hauptverfasser: da Silva, W. C. F., Bakke, K., Vitória, R. L. L.
Format: Artikel
Sprache:eng
Schlagworte:
Astronomy
Astrophysics and Cosmology
Distortion
Elementary Particles
Exact solutions
Hadrons
Harmonic oscillators
Heavy Ions
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Regular Article - Theoretical Physics
Relativism
Relativistic effects
Schrodinger equation
Spacetime
String Theory
Topology
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Zusammenfassung:Non-relativistic quantum effects of the topology of the spacetime with the distortion of a vertical line into a vertical spiral on the harmonic oscillator are investigated. By searching for analytical solutions to the Schrödinger equation in this topological defect background, it is shown that the topology of the spacetime modifies the spectrum of energy of the harmonic oscillator. Besides, it is shown that there exists an Aharonov–Bohm-type effect for bound states.
ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s10052-019-7166-9