Proof of Spin-Statistics Theorem in Quantum Mechanics of Identical Particles
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866918247943634944 |
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| author | Kita, Takafumi |
| author_facet | Kita, Takafumi |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_12071 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Proof of Spin-Statistics Theorem in Quantum Mechanics of Identical Particles Kita, Takafumi Quantum Physics Quantum Gases Statistical Mechanics Strongly Correlated Electrons Superconductivity 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. |
| title | Proof of Spin-Statistics Theorem in Quantum Mechanics of Identical Particles |
| topic | Quantum Physics Quantum Gases Statistical Mechanics Strongly Correlated Electrons Superconductivity |
| url | https://arxiv.org/abs/2512.12071 |