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 and the so-called fluctuation
theorems, are consequently obtained, without recourse to the Casimir modification. The
quantum systems treated here are non-relativistic, and are described by the Schr�dinger
equation or the Pauli equation. In particular, we prove that the spin-field interaction does not�…