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Quantum statistical mechanics

2021
Abstract Quantum statistical mechanics governs metals, semiconductors, and neutron stars. Statistical mechanics spawned Planck’s invention of the quantum, and explains Bose condensation, superfluids, and superconductors. This chapter briefly describes these systems using mixed states, or more formally density matrices, and introducing ...
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Statistical Mechanics for a Class of Quantum Statistics

Physical Review Letters, 1994
Generalized statistical distributions for identical particles are introduced for the case where filling a single-particle quantum state by particles depends on filling states of different momenta. The system of one-dimensional bosons with a two-body potential that can be solved by means of the thermodynamic Bethe ansatz is shown to be equivalent ...
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The Statistical Interpretation of Quantum Mechanics

Reviews of Modern Physics, 1970
The Statistical Interpretation of quantum theory is formulated for the purpose of providing a sound interpretation using a minimum of assumptions. Several arguments are advanced in favor of considering the quantum state description to apply only to an ensemble of similarily prepared systems, rather than supposing, as is often done, that it exhaustively
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Statistical Interpretation of Quantum Mechanics

Science, 1955
The published work for which the honor of the Nobel prize for the year 1954 has been accorded to me does not contain the discovery of a new phenomenon of nature but, rather, the foundations of a new way of thinking about the phenomena of nature. This way of thinking has permeated experimental and theoretical physics to such an extent that it seems ...
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Quantum Statistical Mechanics

2018
In general, the process that we use to prepare a system of atoms, molecules or whatever we want for a measurement produces many copies, but not all in the same quantum state. A pure state in which all the molecules, say, are in the same state, is a limiting case. In general, the system will be in a mixed state.
Leo P. Kadanoff, Gordon Baym
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Statistical Mechanics and Quantum Mechanics

Nature, 1971
Part of the acceptance speech on the occasion of the award of the Lorentz Medal by the Royal Netherlands Academy of Sciences on June 27, 1970.
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Perturbation of Statistical Semigroups in Quantum Statistical Mechanics

Journal of Mathematical Physics, 1971
The 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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A statistical generalization of the quantum mechanics

Il Nuovo Cimento, 1953
It 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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Quantum Statistical Mechanics

2001
Abstract NMR is not performed on a single or a small number of spins, but on a very large number, comparable with the Avogadro number. Even when one is interested in a molecular species with relatively few spins, the sample contains a large number of molecules of that species, all of which are observed simultaneously.
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