Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8205133 | Physics Letters A | 2014 | 4 Pages |
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.
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Physical Sciences and Engineering
Physics and Astronomy
Physics and Astronomy (General)
Authors
Gy.P. Gehér,