An elementary proof for the non-bijective version of Wigner's theoremGehér, G. P. (2014) An elementary proof for the non-bijective version of Wigner's theorem. Physics Letters A, 378 (30-31). pp. 2054-2057. ISSN 0375-9601
It is advisable to refer to the publisher's version if you intend to cite from this work. See Guidance on citing. To link to this item DOI: 10.1016/j.physleta.2014.05.039 Abstract/SummaryThe non-bijective version of Wigner’s theorem states that a map which is defined on the set of self-adjoint, rank-one projections (or pure states) of a complex Hilbert space and which preserves the transition probability between any two elements, is induced by a linear or antilinear isometry. We present a completely new, elementary and very short proof of this famous theorem which is very important in quantum mechanics. We do not assume bijectivity of the mapping or separability of the underlying space like in many other proofs.
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