Effects of linear central potential induced by Lorentz symmetry breaking on a generalized Klein–Gordon-Oscillator
Faizuddin Ahmed
Abstract
We investigate the generalized Klein–Gordon (KG)-oscillator under the Lorentz symmetry breaking effects, where a linear electric and constant magnetic field is considered, and analyze its effects on the relativistic quantum oscillator. Furthermore, the behavior of the quantum oscillator in the presence of a Cornell-type scalar potential is analyzed and the solution of the bound state is obtained. We see that the analytical solution to the generalized KG-oscillator can be achieved and the angular frequency of the oscillator depends on the quantum numbers of the system.
Topics & Concepts
PhysicsQuantum mechanicsLorentz transformationSymmetry breakingScalar (mathematics)Bound stateQuantum electrodynamicsQuantumCPT symmetrySymmetry (geometry)Quantum numberScalar fieldSpontaneous symmetry breakingMagnetic fieldQuantum field theoryScalar field theoryConstant (computer programming)Explicit symmetry breakingScalar potentialClassical mechanicsCoupling constantState (computer science)Lorentz factorQuantum fluctuationField (mathematics)Mathematical physicsLorentz covarianceVacuum stateQuantum stateQuantum Mechanics and Non-Hermitian PhysicsNoncommutative and Quantum Gravity TheoriesNonlinear Waves and Solitons