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Open Quantum Systems Decoherence Quantum Simulation Entanglement Theory Quantum Correlations

Proof of Spin-Statistics Theorem in Quantum Mechanics of Identical Particles

arXiv
Authors: Takafumi Kita

Year

2025

Paper ID

36600

Status

Preprint

Abstract Read

~2 min

Abstract Words

84

Citations

N/A

Abstract

A nonrelativistic proof of the spin-statistics theorem is given in terms of the field operators satisfying commutation and anticommutation relations, which are introduced here in the coordinate space as a means to build the permutation symmetry into the brackets of identical particles. An eigenvalue problem of a π-rotation for a product of two annihilation operators is combined with an analysis on its rotational property to prove the connection that the field operators for integral-spin and half-integral-spin particles obey the commutation and anticommutation relations, respectively.

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  • A nonrelativistic proof of the spin-statistics theorem is given in terms of the field operators satisfying commutation and anticommutation relations, which are introduced here...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2512.12071 [2] arXiv https://arxiv.org/abs/2512.12071 [3] Publisher https://arxiv.org/abs/2512.12071

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