METHODS OF THEORETICAL PHYSICS

Clifford numbers from Bohr–Sommerfeld quantization of Grassmann-variant systems

S. Abe^ab, D. A. Tayurskii<sup>cb

a</sup> Department of Physical Engineering, Mie University, 514-8507 Mie, Japan
^b Institute of Physics, Kazan Federal University, 420008 Kazan, Russia
^c 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.

Received: 21.04.2015
Revised: 21.07.2015

Language: English

DOI: 10.7868/S0370274X15180137

 English version: Journal of Experimental and Theoretical Physics Letters, 2015, 102:6, 387–390

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