Quantum statistical mechanics, quantum probability and quantum characteristic function
نویسندگان
چکیده
منابع مشابه
Quantum Mechanics_ Quantum statistical mechanics
Quantum statistical mechanics is statistical mechanics applied to quantum mechanical systems. In quantum mechanics a statistical ensemble (probability distribution over possiblequantum states) is described by a density operatorS, which is a nonnegative, self-adjoint, trace-classoperator of trace 1 on the Hilbert space Hdescribing the quantum system. This can be shown under various mathematical ...
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Quantum mechanics is one of the most surprising sides of modern physics. Its basic precepts require only undergraduate or early graduate mathematics; but because quantum mechanics is surprising, it is more difficult than these prerequisites suggest. Moreover, the rigorous and clear rules of quantum mechanics are sometimes confused with the more difficult and less rigorous rules of quantum field...
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It has become increasingly evident, starting from the seminal paper of Bost and Connes [3] and continuing with several more recent developments ([8], [10], [12], [13], [22], [24]), that there is a rich interplay between quantum statistical mechanics and arithmetic. In the case of number fields, the symmetries and equilibrium states of the Bost–Connes system are closely linked to the explicit cl...
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ژورنال
عنوان ژورنال: SCIENTIA SINICA Physica, Mechanica & Astronomica
سال: 2020
ISSN: 1674-7275
DOI: 10.1360/sspma-2019-0365