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An elementary proof for the non-bijective version of Wigner's theorem

  • Metaadatok
Tartalom: http://real.mtak.hu/13361/
Archívum: MTA Könyvtár
Gyűjtemény: Status = Published

Type = Article
Cím:
An elementary proof for the non-bijective version of Wigner's theorem
Létrehozó:
Gehér, György
Kiadó:
Elsevier
Dátum:
2014
Téma:
QC05 Physical nature of matter / részecskefizika
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
Típus:
Article
PeerReviewed
info:eu-repo/semantics/article
Formátum:
text
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
Kapcsolat:
MTMT:2701877; doi:10.1016/j.physleta.2014.05.039
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