Clifford numbers from Bohr-Sommerfeld quantization of Grassmann-variant systems
S. Abe+*, D. A. Tayurskii*×
+Department of Physical Engineering, Mie University, 514-8507 Mie, Japan
*Institute of Physics, Kazan Federal University, 420008 Kazan, Russia
×Centre for Quantum Technologies, Kazan Federal University, 420008 Kazan, Russia
Abstract
Bohr-Sommerfeld quantization is discussed for Grassmann-variant fermionic
degrees of freedom. It is shown that this procedure applied to a Grassmannian
dynamical variable of the Majorana type gives rise to a Clifford number,
shedding further light on the quantum-classical correspondence for fermions.