Web6 Sep 2002 · Download a PDF of the paper titled Orthogonality preserving transformations on indefinite inner product spaces: Generalization of Uhlhorn's version of Wigner's … WebIt describes the Hilbert space formulation of quantum mechanics and introduces some related notations. This chapter presents Uhlhorn's version of Wigner's theorem.
Representation of symmetry transformations on the sets …
Web6 Sep 2002 · We present an analogue of Uhlhorn's version of Wigner's theorem on symmetry transformations for the case of indefinite inner product spaces. This significantly generalizes a result of Van den Broek. Web[40] Uhlhorn, U. Representation of symmetry transformations in quantum mechanics. Arkiv Fysik 23, 307 (1963). Google Scholar [41] Mermin, N. D. Extreme quantum entanglement in a superposition of macroscopically distinct states Physical Review Letters. 65, 1838 (1990). CrossRef Google Scholar second law of thermodynamics summary
arXiv:2101.00670v2 [quant-ph] 31 Oct 2024
Web28 Jan 2024 · The strength and importance of Uhlhorn’s theorem is that it requires that the map keeps the orthogonality of rank-one projections, or equivalently of non-normalized vectors (or rays). A transformation mapping an orthonormal basis onto an orthonormal basis is clearly a unitary or anti-unitary transform; however, this result is far from obvious ... WebAbstract. A generalization of Wigner's representation theorem is presented that may be applied when superselection rules (of a specified character) must be taken into account. … http://www.law05.si/law14/presentations/Geher.pdf puns to cheer someone up