Klein-Gordon oscillator in Kaluza-Klein theory
- 1. Universidade Federal de Campina Grande, Unidade Academica de Tecnologia de Alimentos, Centro de Ciencias e Tecnologia Agroalimentar, Pombal, PB (Brazil)
- 2. Universidade Federal de Alagoas, Instituto de Fisica, Maceio, AL (Brazil)
- 3. Universidade Estadual da Paraiba, Centro de Ciencias Exatas e Sociais Aplicadas, Patos, PB (Brazil)
- 4. Universidade Federal da Paraiba, Departamento de Fisica, Caixa Postal 5008, Joao Pessoa, PB (Brazil)
- 5. Universidade Federal da Paraiba, Departamento de Fisica, CCEN, Joao Pessoa, PB (Brazil)
Description
In this contribution we study the Klein-Gordon oscillator on the curved background within the Kaluza-Klein theory. The problem of the interaction between particles coupled harmonically with topological defects in Kaluza-Klein theory is studied. We consider a series of topological defects, then we treat the Klein-Gordon oscillator coupled to this background, and we find the energy levels and corresponding eigenfunctions in these cases. We show that the energy levels depend on the global parameters characterizing these spacetimes. We also investigate a quantum particle described by the Klein-Gordon oscillator interacting with a cosmic dislocation in Som-Raychaudhuri spacetime in the presence of homogeneous magnetic field in a Kaluza-Klein theory. In this case, the energy spectrum is determined, and we observe that these energy levels represent themselves as the sum of the terms related with Aharonov-Bohm flux and of the parameter associated to the rotation of the spacetime. (orig.)
Availability note (English)
Available from: http://dx.doi.org/10.1140/epjc/s10052-016-4189-3Additional details
Identifiers
Publishing Information
- Journal Title
- European Physical Journal. C, Particles and Fields (Online)
- Journal Volume
- 76
- Journal Issue
- 7
- Journal Page Range
- p. 1-9
- ISSN
- 1434-6052
INIS
- Country of Publication
- Germany
- Country of Input or Organization
- Germany
- INIS RN
- 47097817
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; S79: ASTROPHYSICS, COSMOLOGY AND ASTRONOMY;
- Descriptors DEI
- AHARONOV-BOHM EFFECT; ANALYTICAL SOLUTION; EIGENFUNCTIONS; ENERGY LEVELS; ENERGY SPECTRA; HARMONIC OSCILLATORS; KALUZA-KLEIN THEORY; KLEIN-GORDON EQUATION; MAGNETIC FIELDS; METRICS; RIEMANN SPACE; SPACE-TIME; STRING THEORY
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD EQUATIONS; FIELD THEORIES; FUNCTIONS; MATHEMATICAL SOLUTIONS; MATHEMATICAL SPACE; M-THEORY; PARTIAL DIFFERENTIAL EQUATIONS; SPACE; SPECTRA; UNIFIED-FIELD THEORIES; WAVE EQUATIONS