The study of symmetries: some general techniques
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866911083759927296 |
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| author | Semrl, Peter |
| author_facet | Semrl, Peter |
| contents | Let $S(H)$ be the set of all self-adjoint bonded linear operators on $H$ and $\mathcal{V} \subset S(H)$ a subset that is pertinent in mathematical foundations of quantum mechanics. A symmetry is a bijective map $ϕ:\mathcal{V} \to \mathcal{V}$ which is an automorphism with respect to one or more relations and/or operations on $\mathcal{V}$ that are relevant in mathematical physics. We will explain several ideas that can be used when studying the general form of symmetries. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_22572 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The study of symmetries: some general techniques Semrl, Peter Functional Analysis 47B15, 47B49, 81R15 Let $S(H)$ be the set of all self-adjoint bonded linear operators on $H$ and $\mathcal{V} \subset S(H)$ a subset that is pertinent in mathematical foundations of quantum mechanics. A symmetry is a bijective map $ϕ:\mathcal{V} \to \mathcal{V}$ which is an automorphism with respect to one or more relations and/or operations on $\mathcal{V}$ that are relevant in mathematical physics. We will explain several ideas that can be used when studying the general form of symmetries. |
| title | The study of symmetries: some general techniques |
| topic | Functional Analysis 47B15, 47B49, 81R15 |
| url | https://arxiv.org/abs/2507.22572 |