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Engineering Physics

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A SIMPLE WAY OF INTRODUCTION AND INTERPRETATION OF THE PAULI THEOREM
Z.Z. ALISULTANOV

The Pauli principle is introduced in quantum mechanics as a feature of the wave function
of the fermion system, which consists in changing the sign of this function under spatial
inversion. This principle is a consequence of Pauli’s theorem on the connection between
spin and statistics. At the same time, the physical mechanism of such a change remains a
mystery and the direct connection of this with the spin of the particles. Therefore, this rule
of nature is called a principle, and not a law. Here we propose a more graphic conclusion
of the Pauli principle. This conclusion from the very beginning is connected with particle
spin and is, in our opinion, simpler for primary perception. Thus, the result of this work
is also methodical in nature. On the basis of these simple considerations, we consider not
identical fermion and boson systems. It is shown that the symmetry of the wave function
of a fermion pair in the general case is not a single-valued characteristic of a but depends
on the specifi c values of the spins. A spatial analogue of the Kramers theorem for a system
of fermion-boson pairs is introduced.
Keywords: Pauli principle, spin, fermions and bosons, Kramers theorem.

Contacts: E-mail: zaur0102@gmail.com

Pp. 11-14.

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