KMS state - Wikipedia
In the statistical mechanics of quantum mechanical systems and quantum field theory, the properties of a system in thermal equilibrium can be described by a mathematical object called a Kubo–Martin–Schwinger (KMS) state: a state satisfying the KMS condition. Ryogo Kubo introduced the condition in 1957, Paul C. Martin [de] and Julian Schwinger used it in 19… See more
OverviewThe simplest case to study is that of a finite-dimensional Hilbert space, in which one does not encounter complications … See more
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Learn about KMS states, a class of states for C*-dynamical systems that satisfy a Kubo-Martin-Schwinger condition. Find definitions, properties, examples, and applications of KMS states in …
KMS States and Thermal States - Physics Stack Exchange
Jan 29, 2018 · If you consider KMS states (maybe not for water but for model systems like quantum spin systems or free particles Fermions or Bosons, the latter having a Bose-Einstein …
KMS states are thermal equilibrium states of quantum systems with finite dimensional Hilbert space. They satisfy a differential condition and are structurally stable with respect to local …
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KMS state in nLab - ncatlab.org
state on a star-algebra, expectation value. pure state. wave function. collapse of the wave function/conditional expectation value. mixed state, density matrix. space of quantum states. …
KMS States - SpringerLink
Learn about the KMS state, a thermal equilibrium state of many body quantum systems, and its topos analogue. The chapter reviews the definition, properties and examples of KMS states in …
Learn about KMS states, which are equilibrium states at inverse temperature for C*-algebras and their dynamics. See examples of finite quantum systems, free energy, and KMS condition.
KMS States, Entropy and the Variational Principle¶in Full C
KMS states correspond to positive eigenvectors of s. A Perron–Frobenius type theorem asserts the existence of KMS states at inverse temperatures equals the logarithms of the inner and …
Tomita–Takesaki theory - Wikipedia
Takesaki and Winnink showed that any (faithful semi finite normal) state is a KMS state for the 1-parameter group of modular automorphisms . Moreover, this characterizes the modular …
A ,-KMS state at value ß = -I is called a r-KMS state. This definition has several immediate consequences. The value ß = 0 is distinct from the other values. In this case Definition 5.3.1 …
KMS state - chemeurope.com
The statistical mechanics of quantum field theory (see thermal quantum field theory) at the inverse temperature β and chemical potential μ can be characterized by a condition called the KMS …
This paper explores the relation between Hausdorff measures and KMS states on C*-algebras associated to compact metric spaces and local homeomorphisms. It applies groupoid methods …
Examples of KMS states - Physics Stack Exchange
Feb 28, 2017 · I'm doing self-study on quantum statistical mechanics and most books/papers begin sections on KMS states by describing the Gibbs grand canonical equilibrium state, …
This paper explores the topos formulation of quantum theory and its relation to the KMS state, a key concept in statistical mechanics. It defines and illustrates the topos analogues of the KMS …
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KMS-States - SpringerLink
Principally, we investigate the Kubo—Martin—Schwinger, or KMS, condition briefly outlined in the Introduction and used in the calculation of the Gibbs states of the ideal Fermi and Bose gases. …
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