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

• URL: http://arxiv.org/abs/2411.07251v1
• Date: Sun, 27 Oct 2024 18:41:50 GMT
• Title: Generalization of the exact Eriksen and exponential operators of the Foldy-Wouthuysen transformation to arbitrary-spin particles in nonstationary fields
• Authors: Alexander J. Silenko,
• Abstract summary: We use the Foldy-Wouthuysen transformation which allows one to obtain the Schr"odinger picture of relativistic quantum mechanics. Unlike previous publications, we determine exact Eriksen and exponential operators of the Foldy-Wouthuysen transformation.
• Score: 55.2480439325792
• License:
• Abstract: Time-dependent terms in Hamiltonians and equations of motion can be rather important for a quantum-mechanical description of a particle in nonstationary fields. We use the Foldy-Wouthuysen transformation which allows one to obtain the Schr\"{o}dinger picture of relativistic quantum mechanics. We consider particles with arbitrary spins in nonstationary fields. Unlike previous publications, we determine exact Eriksen and exponential operators of the Foldy-Wouthuysen transformation in this general case.

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