Quaternionic differential operators

DOI10.1063/1.1360195zbMath1014.81013arXivmath-ph/0005023OpenAlexW3102778949MaRDI QIDQ2774896

Stefano De Leo, Gisele C. Ducati

Publication date: 26 February 2002

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

Full work available at URL: https://arxiv.org/abs/math-ph/0005023

zbMATH Keywords

method to solvequaternionic formulation of quantum mechanicsquaternionic potentials

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Operator theory over fields other than (mathbb{R}), (mathbb{C}) or the quaternions; non-Archimedean operator theory (47S10)

Related Items (20)

Analytic plane wave solutions for the quaternionic potential step ⋮ Two novel algebraic techniques for quaternion least squares problems in quaternionic quantum mechanics ⋮ Quaternionic diffusion by a potential step ⋮ On roots of quaternion polynomials. ⋮ Non-anti-Hermitian quaternionic quantum mechanics ⋮ Quaternionic eigenvalue problem ⋮ Solving simple quaternionic differential equations ⋮ Quaternionic Aharonov-Bohm effect ⋮ Quaternionic quantum mechanics in real Hilbert space ⋮ Scattering study of fermions due to double Dirac delta potential in quaternionic relativistic quantum mechanics ⋮ Quaternionic wave packets ⋮ Quaternionic analyticity ⋮ Spectra of quaternion unit gain graphs ⋮ The Snell law for quaternionic potentials ⋮ Real linear quaternionic differential operators ⋮ Algebraic tools for the study of quaternionic behavioral systems ⋮ Quaternionic quantum particles ⋮ Unnamed Item ⋮ A closed formula for the barrier transmission coefficient in quaternionic quantum mechanics ⋮ Delay time in quaternionic quantum mechanics

Cites Work

• Matrices of quaternions
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