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Interaction of the magnetic quadrupole moment of a non-relativistic particle with an electric field in the background of screw dislocations with a rotating frame

Bekir Can Lütfüoğlu, Jan Kříž, Soroush Zare, Hassan Hassanabadi

2020Physica Scripta15 citationsDOIOpen Access PDF

Abstract

Abstract In this study, we considered a moving particle with a magnetic quadrupole moment in an elastic medium in the presence of a screw dislocation. We assumed a radial electric field in a rotating frame that leads a uniform effective magnetic field perpendicular to the plane of motion. We solved the Schrödinger equation to derive wave and energy eigenvalue functions by employing analytical methods for two interaction configurations: in the absence of potential and in the presence of a static scalar potential. Due to the topological defect in the medium, we observed a shift in the angular momentum quantum number which affects the energy eigenvalues and the wave function of the system.

Topics & Concepts

PhysicsQuadrupoleQuadrupole magnetMagnetic fieldAngular momentumQuantum electrodynamicsMagnetic momentClassical mechanicsElectric fieldScalar potentialPlane waveScalar (mathematics)Wave functionEigenvalues and eigenvectorsCondensed matter physicsPerpendicularMagnetic dipoleScalar fieldField (mathematics)Plane (geometry)Magnetic energyElectron magnetic dipole momentQuantum mechanicsMagnetostaticsMoving frameQuantumMoment (physics)ElectronMomentum (technical analysis)Anomalous magnetic dipole momentTopological defectParticle (ecology)Principal axis theoremRotation (mathematics)Charged particleOptical fieldQuantum and Classical ElectrodynamicsQuantum Mechanics and Non-Hermitian PhysicsQuantum Electrodynamics and Casimir Effect
Interaction of the magnetic quadrupole moment of a non-relativistic particle with an electric field in the background of screw dislocations with a rotating frame | Litcius