On the linear forms of the Schrodinger equation
Y. Kasri, A. B\'erard, Y. Grandati, L. Chetouani
TL;DR
This paper generalizes the linearization method of the Schrödinger equation to derive first-order wave equations for particles with spin 1 and 3/2, expanding the theoretical framework of quantum mechanics.
Contribution
It introduces a novel linearization approach to obtain non-relativistic wave equations for higher-spin particles from the Schrödinger equation.
Findings
Derived first-order wave equations for spin 1 and 3/2 particles.
Extended the linearization technique beyond Dirac and Lévy-Leblond.
Provided a new theoretical foundation for non-relativistic higher-spin quantum particles.
Abstract
Generalizing the linearisation procedure used by Dirac and later by L\'evy-Leblond, we derive the first-order non-relativistic wave equations for particles of spin 1 and spin 3/2 starting from the Schrodinger equation.
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