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

• URL: http://arxiv.org/abs/2411.07251v2
• Date: Fri, 24 Jan 2025 13:28:39 GMT
• Title: Generalization of exact operators of the Foldy-Wouthuysen transformation to arbitrary-spin particles in nonstationary fields
• Authors: Alexander J. Silenko,
• Abstract summary: We use the Foldy-Wouthuysen representation which allows one to obtain the Schr"odinger 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.
• Score: 55.2480439325792
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• 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 Schr\"{o}dinger 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.

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