On the Klein–Gordon equation and hyperbolic pseudoanalytic function theory

DOI10.1088/1751-8113/41/6/065205zbMath1139.81027arXiv0709.2337OpenAlexW2052255481MaRDI QIDQ5445273

Dominic Rochon, Vladislav V. Kravchenko, Sébastien Tremblay

Publication date: 4 March 2008

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

Full work available at URL: https://arxiv.org/abs/0709.2337

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Wave equation (35L05) Generalizations of Bers and Vekua type (pseudoanalytic, (p)-analytic, etc.) (30G20)

Related Items (11)

Affine transformations of hyperbolic number plane ⋮ Wave polynomials, transmutations and Cauchy's problem for the Klein-Gordon equation ⋮ Bicomplex modules with indefinite inner product ⋮ Higher spin quaternion waves in the Klein-Gordon theory ⋮ On Bers generating functions for first order systems of mathematical physics ⋮ Construction of transmutation operators and hyperbolic pseudoanalytic functions ⋮ Zakharov–Shabat system and hyperbolic pseudoanalytic function theory ⋮ Explicit solutions of generalized Cauchy-Riemann systems using the transplant operator ⋮ Modulated electromagnetic fields in inhomogeneous media, hyperbolic pseudoanalytic functions, and transmutations ⋮ Spatial pseudoanalytic functions arising from the factorization of linear second order elliptic operators ⋮ Solutions for PDEs with constant coefficients and derivability of functions ranged in commutative algebras

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