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- W2788704587 abstract "The Wigner's theorem, which is one of the cornerstones of the mathematical formulation of quantum mechanics, asserts that every symmetry of quantum system is unitary or anti-unitary. This classical result was first given by Wigner in 1931. Thereafter it has been proved and generalized in various ways by many authors. Recently, G. P. Geh'{e}r extended Wigner's and Moln'{a}r's theorems and characterized the transformations on the Grassmann space of all rank-$n$ projections which preserve the transition probability. The aim of this paper is to provide a new approach to describe the general form of the transition probability preserving (not necessarily bijective) maps between Grassmann spaces. As a byproduct, we are able to generalize the results of Moln'{a}r and G. P. Geh'{e}r." @default.
- W2788704587 created "2018-03-06" @default.
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- W2788704587 date "2018-02-25" @default.
- W2788704587 modified "2023-09-24" @default.
- W2788704587 title "Wigner-Type Theorem on transition probability preserving maps in semifinite factors" @default.
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- W2788704587 doi "https://doi.org/10.48550/arxiv.1802.09157" @default.
- W2788704587 hasPublicationYear "2018" @default.
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