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Titlebook: Probabilistic and Statistical Aspects of Quantum Theory; Alexander Holevo Book 2011 Springer Basel 2011 mathematical statistics.quantum me

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楼主: SCOWL
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https://doi.org/10.1007/978-88-7642-378-9mathematical statistics; quantum mechanics
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Statistical models,tudy of the object or phenomenon. Let us consider a very schematic and general description of an experimental situation and try to trace back the emergence of the principal components of a theoretical model.
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Covariant measurements and optimality,us manifold in a finite-dimensional space is given and elements of the group . = {.} act as continuous one-to-one mappings of the set Θ onto itself, . : . → .. Moreover the group . is itself parametrized in such a way that the group product . is at least locally continuous in ., ..
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Gaussian states,certainty state in which . and . have zero mean values. The state . (where to simplify notations we put . . being the oscillator frequency) can be regarded as the result of an external influence onto the object in ground state, shifting the mean values of the canonical observables but leaving their
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Supplement,ynamical laws and in principle can be predicted with arbitrary detail and accuracy. This system of conceptions which acquired the name “determinism” was progressive for that time and was based on a triumphant success of the Newtonian mechanics which allowed to give a rational explanation to a number
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Symmetry groups in quantum mechanics, by the Galilei transformation . where . is an orthogonal matrix (rotation) which describes the orientation of the new spatial axes with respect to the old ones, . is the vector of the spatial shift of the origin, . is the relative velocity, and . is the time shift showing the difference between the readings of the two clocks.
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2239-1460 f quantum observable.Introduction to the “noncommutative” maThis book is devoted to aspects of the foundations of quantum mechanics in which probabilistic and statistical concepts play an essential role. The main part of the book concerns the quantitative statistical theory of quantum measurement, b
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