Non-commutativity and non-inertial effects on a scalar field in a cosmic string space-time: II. Spin-zero Duffin–Kemmer–Petiau-like oscillator
R. R. Cuzinatto, M. de Montigny, P. J. Pompeia
Abstract
Abstract We study the non-inertial effects of a rotating frame on a spin-zero, Duffin–Kemmer–Petiau-like oscillator in a cosmic string space-time with non-commutative geometry in the momentum space. The spin-zero DKP-like oscillator is obtained from the Klein–Gordon Lagrangian with a non-standard prescription for the oscillator coupling. We find that the solutions of the time-independent radial equation with the non-zero non-commutativity parameter parallel to the string are related to the confluent hypergeometric function. We find the quantized energy eigenvalues of the non-commutative oscillator.
Topics & Concepts
PhysicsCosmic stringCommutative propertyMathematical physicsQuantum mechanicsScalar (mathematics)String field theoryEigenvalues and eigenvectorsZero (linguistics)String (physics)Quantum electrodynamicsClassical mechanicsGeometryMathematicsLinguisticsPure mathematicsPhilosophyNoncommutative and Quantum Gravity TheoriesBlack Holes and Theoretical PhysicsQuantum Mechanics and Non-Hermitian Physics