Generalizations of the Klein-Gordon and the Dirac equations from non-standard Lagrangians

DOI10.1007/s40010-013-0094-4zbMath1330.35364OpenAlexW2046032727MaRDI QIDQ893473

Ahmad Rami El-Nabulsi

Publication date: 19 November 2015

Published in: Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40010-013-0094-4

zbMATH Keywords

non-standard Lagrangiansmodified dispersion relationmodified Dirac equationBarut equationmodified Klein-Gordon equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) PDEs in connection with quantum mechanics (35Q40) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (13)

Faster-than-light solitons in \(1+1\) dimensions ⋮ Fractional variational approach with non-standard power-law degenerate Lagrangians and a generalized derivative operator ⋮ On nonlocal complexified Schrödinger equation and emergence of discrete quantum mechanics ⋮ A systematic review on the advancement in the study of fuzzy variational problems ⋮ Non-standard Lagrangians with higher-order derivatives and the Hamiltonian formalism ⋮ From classical to discrete gravity through exponential non-standard Lagrangians in general relativity ⋮ Conservation laws for systems of non-standard Birkhoffians with fractional derivatives ⋮ Non-standard fractional Lagrangians ⋮ Non-standard non-local-in-time Lagrangians in classical mechanics ⋮ Conserved quantities for Hamiltonian systems on time scales ⋮ Classical string field mechanics with non-standard Lagrangians ⋮ Non-standard power-law Lagrangians in classical and quantum dynamics ⋮ A generalized nonlinear oscillator from non-standard degenerate Lagrangians and its consequent Hamiltonian formalism

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