Feynman propagator for a spinless relativistic particle in Feshbach-Villars representation

DOI10.1016/S0034-4877(16)30006-4zbMath1380.81100OpenAlexW2276076252MaRDI QIDQ1690104

L. Chetouani, B. Boudjedaa

Publication date: 18 January 2018

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(16)30006-4

zbMATH Keywords

path integralKlein-Gordon equationconstant magnetic fieldFeynman propagatorLandau levelsPauli matricesSchrödinger Hamiltonianinhomogeneous magnetic fieldFeshbach-Villars equationgeneralized Feshbach-Villars equation

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Path integrals in quantum mechanics (81S40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Many-body theory; quantum Hall effect (81V70) Clifford algebras, spinors (15A66)

Cites Work

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• Hamilton operator and the semiclassical limit for scalar particles in an electromagnetic field
• Quantum field theory techniques in graphical enumeration
• NONCOMMUTATIVE PATH INTEGRAL FOR SPINLESS RELATIVISTIC EQUATION IN THE TWO-COMPONENT THEORY
• Elementary Relativistic Wave Mechanics of Spin 0 and Spin 1/2 Particles
• Some Generalizations of the Foldy-Wouthuysen Transformation

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