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  • Letter

Generalization of exact operators of the Foldy-Wouthuysen transformation to arbitrary-spin particles in nonstationary fields

Alexander J. Silenko*

  • *Contact author: alsilenko@mail.ru

Phys. Rev. A 111, L050203 – Published 29 May, 2025

DOI: https://doi.org/10.1103/PhysRevA.111.L050203

Abstract

Time-dependent terms in Hamiltonians and equations of motion are rather important for a quantum-mechanical description of particles with arbitrary spins in nonstationary fields. We use the Foldy-Wouthuysen representation which allows one to obtain the Schrödinger picture of relativistic quantum mechanics. We determine exact nonexponential and exponential operators of the Foldy-Wouthuysen transformation for arbitrary-spin particles in the nonstationary case. Some fundamental properties of these operators and the Foldy-Wouthuysen Hamiltonian are also identified.

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