Gehér, György (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
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Official URL: https://doi.org/10.1016/j.physleta.2014.05.039
Abstract
The 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.
Item Type: | Article |
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Subjects: | Q Science / természettudomány > QC Physics / fizika |
SWORD Depositor: | MTMT SWORD |
Depositing User: | MTMT SWORD |
Date Deposited: | 19 Feb 2024 16:12 |
Last Modified: | 19 Feb 2024 16:12 |
URI: | https://real.mtak.hu/id/eprint/188567 |
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