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A direct proof of Wigner’s theorem on maps which preserve transition probabilities between pure states of quantum systems. (English) Zbl 0875.46008

Summary: A direct proof of Wigner’s theorem on transition probability preserving maps between pure states of a quantum system and a more precise statement of the theorem are provided. The mathematical proof presented here shows that the result should be as obvious to every one as it has been to Wigner.

MSC:

46N50 Applications of functional analysis in quantum physics
81P05 General and philosophical questions in quantum theory
47N50 Applications of operator theory in the physical sciences
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References:

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