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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 1: Quantum Dynamics and Quantum Information

MP 1.4: Talk

Monday, March 20, 2023, 12:00–12:30, HSZ/0003

Particle Spin described by Quantum Hamilton equations — •Michael Beyer and Wolfgang Paul — Martin-Luther Universität Halle

The anomalous Zeeman effect made it clear that charged particles like the electron possess a magnetic dipole moment. Classically, this could be understood if the charged particle possesses an eigenrotation, i.e., spin. This classically motivated model of intrinsic rotation described in terms of a continuous stochastic process is revisited within the formalism of stochastic optimal control theory. Quantum Hamilton equations for spinning particles are derived, which reduce to their classical counterpart in the zero quantum noise limit. These equations enable the calculation of the common spin expectation values without the use of the wave function. They also offer information on the orientation dynamics of the magnetic moment of charged particles beyond the behavior of the spin averages.