Spin top (toward a theorem on the spin–statistics relation)

E. D. Trifonov

Herzen State Pedagogical University of Russia, St. Petersburg, Russia

Abstract: We propose a model of a spinning particle as an analogue of a quantum mechanical top. We show that for this model, we can prove the theorem on the relation between spin and statistics in the framework of nonrelativistic quantum mechanics.

Keywords: spin, quantum mechanical top, Pauli theorem, generalized Wigner spherical function, spin–statistics relation.

PACS: PACS numbers: 02.20.-a, 03.65.-w, 31.15.xh.

Received: 16.08.2018
Revised: 11.12.2018

DOI: 10.4213/tmf9622

 English version: Theoretical and Mathematical Physics, 2019, 199:3, 823–827

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