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Statistical inference in quantum mechanics
Reports on Mathematical Physics, 1980Statistical inference is discussed in the context of a C∗-algebra. No restrictions are placed on the a priori state and the partial measurement state is required to satisfy an absolute continuity condition. This permits the treatment of unbounded “Radon-Nikodym” derivatives within the theory.
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2013
Before proceeding to the full quantum field-theoretic description of the macroscopic phenomena introduced in the previous chapter, we should first review the corresponding quantum-mechanical approach—quantum statistical mechanics.
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Before proceeding to the full quantum field-theoretic description of the macroscopic phenomena introduced in the previous chapter, we should first review the corresponding quantum-mechanical approach—quantum statistical mechanics.
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Quantum mechanics as a statistical theory
Mathematical Proceedings of the Cambridge Philosophical Society, 1949An attempt is made to interpret quantum mechanics as a statistical theory, or more exactly as a form of non-deterministic statistical dynamics. The paper falls into three parts. In the first, the distribution functions of the complete set of dynamical variables specifying a mechanical system (phase-space distributions), which are fundamental in any ...
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1987
The preceding formulation of statistical mechanics is perhaps the simplest application of probability theory to the many-body problem. Although it is consistent with the principles of quantum mechanics, it is not manifestly so. That is, the PME itself is based on the notions of information and measurement, but a general formulation should also ...
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The preceding formulation of statistical mechanics is perhaps the simplest application of probability theory to the many-body problem. Although it is consistent with the principles of quantum mechanics, it is not manifestly so. That is, the PME itself is based on the notions of information and measurement, but a general formulation should also ...
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Quantum Mechanics and Statistics
1968In the previous chapters it was stated that the entropy of a system can be determined by statistical means by counting the number of micro-states in which the system may occur under the given conditions. By failing to enlarge upon this point, we have falsely given the impression that the way in which the count should be made was definitely established.
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Statistical origin of classical mechanics and quantum mechanics
Physical Review Letters, 1993Summary: The classical action for interacting strings, obtained by generalizing the time-symmetric electrodynamics of Wheeler and Feynman, is exactly additive. The additivity of the string action suggests a connection between the area of the string world sheets and entropy.
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A statistical generalization of the quantum mechanics
Il Nuovo Cimento, 1953It is shown that the ordinary Schrodinger equation for a dynamical system gs may be replaced by a more general equation, which has the form of the Schrodinger equation of a quantized Bose field whose quanta are the systems gs. The linear wave functionals of the quantized field describe pure states of the system gs and the non linear wave functionals ...
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Perturbation of Statistical Semigroups in Quantum Statistical Mechanics
Journal of Mathematical Physics, 1971The perturbation theory of Hille and Phillips for semigroups of bounded linear operators on a Banach space is modified to apply to the semigroups of positive traceclass operators encountered in quantum statistical mechanics.
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Quantum guidelines for solid-state spin defects
Nature Reviews Materials, 2021Gary Wolfowicz+2 more
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Weyl, Dirac and high-fold chiral fermions in topological quantum matter
Nature Reviews Materials, 2021M Zahid Hasan+2 more
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