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 ...
متن کاملStatistical Quantum Mechanics
3 Thermodynamic State Variables and State Equations 8 3.1 State Variables and Equilibrium . . . . . . . . . . . . . . . . . . . . . . . . . 8 3.1.1 Exhaustive set of state variables? . . . . . . . . . . . . . . . . . . . . 8 3.1.2 Are state variables de ned only in equilibrium? . . . . . . . . . . . . 11 3.1.3 Concept of local equilibrium . . . . . . . . . . . . . . . . . . . . . . . 12 3.1.4 C...
متن کاملStatistical Geometry in Quantum Mechanics
A statistical model M is a family of probability distributions, characterised by a set of continuous parameters known as the parameter space. This possesses natural geometrical properties induced by the embedding of the family of probability distributions into the space of all square-integrable functions. More precisely, by consideration of the square-root density function we can regard M as a ...
متن کاملDoes quantum chaos explain quantum statistical mechanics?
If a many-body quantum system approaches thermal equilibrium from a generic initial state, then the expectation value 〈ψ(t)|Ai|ψ(t)〉, where |ψ(t)〉 is the system’s state vector and Ai is an experimentally accessible observable, should approach a constant value which is independent of the initial state, and equal to a thermal average of Ai at an appropriate temperature. We show that this is the c...
متن کاملQuantum Chaos and Statistical Mechanics
We briefly review the well known connection between classical chaos and classical statistical mechanics, and the recently discovered connection between quantum chaos and quantum statistical mechanics. Talk given at the Conference on Fundamental Problems in Quantum Theory Baltimore, June 18–22, 1994 Consider a dilute gas of hard spheres in a box with hard walls. Give the spheres some arbitrary i...
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ژورنال
عنوان ژورنال: Physica A: Statistical Mechanics and its Applications
سال: 2002
ISSN: 0378-4371
DOI: 10.1016/s0378-4371(01)00626-4