Quaternionic factorization of the Schrödinger operator and its applications to some first-order systems of mathematical physics

DOI10.1088/0305-4470/36/44/008zbMath1047.81023arXivmath-ph/0305046OpenAlexW2020434338MaRDI QIDQ4468618

Viktor G. Kravchenko, Vladislav V. Kravchenko

Publication date: 10 June 2004

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

Full work available at URL: https://arxiv.org/abs/math-ph/0305046

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Fundamental solutions to PDEs (35A08) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Linear first-order PDEs (35F05) Operator theory over fields other than (mathbb{R}), (mathbb{C}) or the quaternions; non-Archimedean operator theory (47S10)

Related Items (13)

Solving quaternion ordinary differential equations with two-sided coefficients ⋮ On quaternionic analysis for the Schrödinger operator with a particular potential and its relation with the Mathieu functions ⋮ Sedeonic field equations for dyons ⋮ Sedeonic equations in field theory ⋮ Scalar fields described by Dirac quaternion wave equation ⋮ On a factorization of the Schrödinger and Klein-Gordon operators ⋮ The existence of Cauchy kernels of Kravchenko-generalized Dirac operators ⋮ The Schrödinger equation on cylinders and the \(n\)-torus ⋮ Dirac solutions for quaternionic potentials ⋮ Complete systems of Beltrami fields using complex quaternions and transmutation theory ⋮ Electrostatic fields in some special inhomogeneous media and new generalizations of the Cauchy-Riemann system ⋮ Factorization of the nonlinear Schrödinger equation and applications ⋮ Diagonalization of Bounded Linear Operators on Separable Quaternionic Hilbert Space

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