On the Linear Forms of the Schrödinger Equation

Generalising the linearisation procedure used by Dirac and later by Lévy-Leblond, we derive the first-order non-relativistic wave equations for particles of spin 1 and spin 3/2 starting from the Schrödinger equation. By the introduction in the momentum of a correction linear in coordinates, we estab...

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Bibliographic Details
Published in:International journal of theoretical physics 2012-05, Vol.51 (5), p.1370-1378
Main Authors: Kasri, Y., Bérard, A., Grandati, Y., Chetouani, L.
Format: Article
Language:English
Subjects:
Elementary Particles
Mathematical and Computational Physics
Physics
Physics and Astronomy
Quantum Field Theory
Quantum Physics
Theoretical
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Summary:Generalising the linearisation procedure used by Dirac and later by Lévy-Leblond, we derive the first-order non-relativistic wave equations for particles of spin 1 and spin 3/2 starting from the Schrödinger equation. By the introduction in the momentum of a correction linear in coordinates, we establish the wave equation of the radial harmonic oscillator with spin-orbit coupling.
ISSN:0020-7748
1572-9575
DOI:10.1007/s10773-011-1012-7