Time Reversal Symmetry for Classical, Nonrelativistic Quantum and Spin Systems in Presence of Magnetic Fields

• URL: http://arxiv.org/abs/2104.13767v4
• Date: Tue, 17 May 2022 09:27:03 GMT
• Title: Time Reversal Symmetry for Classical, Nonrelativistic Quantum and Spin Systems in Presence of Magnetic Fields
• Authors: Davide Carbone (1 and 2), Paolo De Gregorio (1), Lamberto Rondoni (1 and 2) ((1) Dipartimento di Scienze Matematiche, Politecnico di Torino, Torino, Italy, (2) INFN, Sezione di Torino, Torino, Italy)
• Abstract summary: We extend to quantum mechanical systems results previously obtained for classical mechanical systems. The quantum systems treated here are nonrelativistic, and are described by the Schr"odinger equation or the Pauli equation.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: We extend to quantum mechanical systems results previously obtained for classical mechanical systems, concerning time reversibility in presence of a magnetic field. As in the classical case, results like the Onsager reciprocal relations are consequently obtained, without recourse to the Casimir modification. The quantum systems treated here are nonrelativistic, and are described by the Schr{\"o}dinger equation or the Pauli equation. In particular, we prove that the spin-field interaction does not break the time reversal invariance (TRI) of the dynamics, and that it does not require additional conditions for such a symmetry to hold, compared to the spinless cases.

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