A Method in Quantum Statistical Mechanics, I
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 ...
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 کاملStatistical Mechanics I
2 Thermodynamics 4 2.1 The Foundations of Thermodynamics . . . . . . . . . . . . . . . 4 2.2 Thermodynamic Equilibrium . . . . . . . . . . . . . . . . . . . . 5 2.3 The Conditions for Equilibrium . . . . . . . . . . . . . . . . . . . 7 2.4 The Equations of State . . . . . . . . . . . . . . . . . . . . . . . . 13 2.5 Thermodynamic Processes . . . . . . . . . . . . . . . . . . . . . . 14 2.6 Ther...
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 کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Progress of Theoretical Physics
سال: 1954
ISSN: 0033-068X
DOI: 10.1143/ptp.11.374