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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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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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2018
Publisher's Foreword -- Advanced Book Classics -- Vita -- Special Preface -- Editor's Foreword -- Preface -- Mathematical Introduction -- Information Contained in G>and G< -- The Hartree and Hartree-Fock Approximations -- Effect of Collisions on G -- A Technique for Deriving Green's Function Approximations -- Transport Phenomena -- The Hartree ...
Leo P. Kadanoff, Gordon Baym
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Publisher's Foreword -- Advanced Book Classics -- Vita -- Special Preface -- Editor's Foreword -- Preface -- Mathematical Introduction -- Information Contained in G>and G< -- The Hartree and Hartree-Fock Approximations -- Effect of Collisions on G -- A Technique for Deriving Green's Function Approximations -- Transport Phenomena -- The Hartree ...
Leo P. Kadanoff, Gordon Baym
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Statistical Mechanics for a Class of Quantum Statistics
Physical Review Letters, 1994Generalized 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, 1970The 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, 1955The 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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Statistical Mechanics and Quantum Mechanics
Nature, 1971Part 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, 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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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 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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