Relativistic adiabatic approximation and geometric phase

DOI10.1088/0305-4470/31/38/018zbMath0931.35180arXivquant-ph/9807003OpenAlexW1976804993MaRDI QIDQ4259791

Ali Mostafazadeh

Publication date: 30 August 1999

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/9807003

zbMATH Keywords

Klein-Gordon equationKlein-Gordon fieldsrelativistic analogue of the quantum adiabatic approximationrelativistic Landau level problemrotating cosmic string

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Quantum field theory on curved space or space-time backgrounds (81T20) PDEs in connection with relativity and gravitational theory (35Q75)

Related Items (13)

Landau quantization in the spinning cosmic string spacetime ⋮ TOPOLOGICALLY MASSIVE GAUGE THEORY: A LORENTZIAN SOLUTION ⋮ Feshbach-Villars oscillator in Kaluza-Klein theory ⋮ Anholonomy according to three formulations of non-null curve evolution ⋮ Three classes of non-lightlike curve evolution according to Darboux frame and geometric phase ⋮ Statistical properties of the two dimensional Feshbach-Villars oscillator (FVO) in the rotating cosmic string space-time ⋮ QUANTUM EFFECTS DUE TO A MAGNETIC FLUX ASSOCIATED TO A TOPOLOGICAL DEFECT ⋮ Geometric phases and squeezed quantum states of relic gravitons ⋮ Erratum to: gravitational geometric phase in the presence of torsion ⋮ Berry's phase for a spin 1/2 particle in the presence of topological defects ⋮ Hamilton operator and the semiclassical limit for scalar particles in an electromagnetic field ⋮ A new class of adiabatic cyclic states and geometric phases for non-Hermitian Hamiltonians ⋮ Geometric phase for non-Hermitian Hamiltonians and its holonomy interpretation

This page was built for publication: Relativistic adiabatic approximation and geometric phase