Joint probability distributions of observables in quantum mechanics
نویسندگان
چکیده
منابع مشابه
A Method for Justification of the View of Observables in Quantum Mechanics and Probability Distributions in Phase Space
Let f(x, p) be a function on the phase space. The function f corresponds to the classical observation. Let ρ(x, p, ξ) = φ2(x, p, ξ) be some non-negative density function on an extended phase space. The density function ρ corresponds to the generalized state on the extended phase space. Then, as usual, the observation f in the generalized state ρ is the value < f, ρ >=< f,φ2 > of the integral of...
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The concept of intrinsic and operational observables in quantum mechanics is introduced. In any realistic description of a quantum measurement that includes a macroscopic detecting device, it is possible to construct from the statistics of the recorded raw data a set of operational quantities that correspond to the intrinsic quantum mechanical observable. This general approach is illustrated by...
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For sharp quantum observables the following facts hold: (i) if we have a collection of sharp observables and each pair of them is jointly measurable, then they are jointly measurable all together; (ii) if two sharp observables are jointly measurable, then their joint observable is unique and it gives the greatest lower bound for the effects corresponding to the observables; (iii) if we have two...
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 1961
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm-21-1-117-133