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Dirac–von Neumann axioms : ウィキペディア英語版 | Dirac–von Neumann axioms In mathematical physics, the Dirac–von Neumann axioms give a mathematical formulation of quantum mechanics in terms of operators on a Hilbert space. They were introduced by and . ==Hilbert space formulation==
The space ''H'' is a fixed complex Hilbert space of countable infinite dimension. *The observables of a quantum system are defined to be the (possibly unbounded) self-adjoint operators ''A'' on ''H''. *A state φ of the quantum system is a unit vector of ''H'', up to scalar multiples. *The expectation value of an observable ''A'' for a system in a state φ is given by the inner product (φ,''A''φ).
抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Dirac–von Neumann axioms」の詳細全文を読む
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