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METHODS OF THEORETICAL PHYSICS
Clifford numbers from Bohr–Sommerfeld quantization of Grassmann-variant systems
S. Abeab, D. A. Tayurskiicb a 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
Citation:
S. Abe, D. A. Tayurskii, “Clifford numbers from Bohr–Sommerfeld quantization of Grassmann-variant systems”, Pis'ma v Zh. Èksper. Teoret. Fiz., 102:6 (2015), 427–430; JETP Letters, 102:6 (2015), 387–390
Linking options:
https://www.mathnet.ru/eng/jetpl4738 https://www.mathnet.ru/eng/jetpl/v102/i6/p427
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