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An elementary proof for the non-bijective version of Wigner's theorem |
Tartalom: | http://real.mtak.hu/13361/ |
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Archívum: | MTA Könyvtár |
Gyűjtemény: |
Status = Published
Type = Article |
Cím: |
An elementary proof for the non-bijective version of Wigner's theorem
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Létrehozó: |
Gehér, György
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Kiadó: |
Elsevier
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Dátum: |
2014
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Téma: |
QC05 Physical nature of matter / részecskefizika
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Tartalmi leírás: |
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. |
Nyelv: |
angol
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Típus: |
Article
PeerReviewed
info:eu-repo/semantics/article
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Formátum: |
text
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Azonosító: |
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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Kapcsolat: |
MTMT:2701877; doi:10.1016/j.physleta.2014.05.039
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