MODIFIED WAVE EQUATION FOR SPINLESS PARTICLES AND ITS SOLUTIONS IN AN EXTERNAL MAGNETIC FIELD

DOI10.1142/S0217732313500144zbMath1259.81026arXiv1207.6573MaRDI QIDQ4912861

S. I. Kruglov

Publication date: 27 March 2013

Published in: Modern Physics Letters A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.6573

zbMATH Keywords

wave equationquantum gravitydensity matrixexact solutionsexternal magnetic fieldsynchrotron radiationdeformed special relativityfirst-order formalismquantum-mechanical Hamiltonianspinless particlesLorentz violating term

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (12)

The solution of a modified Hamilton-Jacobi equation with Lorentz-violating scalar field ⋮ The accurate modification of tunneling radiation of fermions with arbitrary spin in Kerr-de Sitter black hole space-time ⋮ Influence of Lorentz invariation violation on arbitrary spin fermion tunneling radiation in the Vaidya-Bonner space-time ⋮ Lorentz invariance violation and modified Hawking fermions tunneling radiation ⋮ Lorentz symmetry breaking and entropy correction of Kerr-Newman-AdS black hole ⋮ Modified fermion tunneling radiation of Demianski–Newman black hole at higher energy scales ⋮ Modification of the dynamic equation and tunneling radiation of fermions with arbitrary spin in Kerr-Newman-Kasuya black hole space-time ⋮ Influence of modified light dispersion theory on fermion tunneling radiation in the Einstein–Maxwell–dilaton–axion black hole ⋮ Equations for massless and massive spin-1/2 particles with varying speed and neutrino in matter ⋮ Lorentz invariance violation and modified Hawking fermions tunneling radiation of stationary axially symmetric black holes ⋮ Modified Hawking radiation of stationary and nonstationary Kerr-Newman-de Sitter black hole ⋮ Modified fermions tunneling radiation from nonstationary, axially symmetric Kerr black hole

Cites Work

• A microscopic Liouville arrow of time
• Distance Measurement and Wave Dispersion in a Liouville-String Approach to Quantum Gravity
• Ultraviolet Modifications of Dispersion Relations in Effective Field Theory
• Solutions of Podolsky's electrodynamics equation in the first-order formalism
• RELATIVITY IN SPACETIMES WITH SHORT-DISTANCE STRUCTURE GOVERNED BY AN OBSERVER-INDEPENDENT (PLANCKIAN) LENGTH SCALE
• Testable scenario for relativity with minimum length
• Observer-independent quantum of mass

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