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- The Kubo-Martin-Schwinger (KMS) condition is a kind of boundary-value condition which naturally emerges in quantum statistical mechanics and related areas.Learn more:The Kubo-Martin-Schwinger (KMS) condition is a kind of boundary-value condition which naturally emerges in quantum statistical mechanics and related areas.mathworld.wolfram.com/KMSCondition.htmlThe KMS boundary condition is an abstract equilibrium condition for quantum statis-tical mechanics. If ρ is a state and A, B are two observables and αt(A) is the observable into which A evolves in time t, the condition is supposed to characterize the equilibrium states at temperature T = β−1.ipparco.roma1.infn.it/pagine/deposito/1967-1979/04…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.en.wikipedia.org/wiki/KMS_state
KMS Condition -- from Wolfram MathWorld
Nov 21, 2024 · The Kubo-Martin-Schwinger (KMS) condition is a kind of boundary-value condition which naturally emerges in quantum statistical mechanics and related areas.
In classical statistical mechanics, the description of systems which are in thermal equilibrium with respect to each other (thermal states) is achieved with the use of Gibbs' canonical ensemble …
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 SchwingerWikipedia · Text under CC-BY-SA license- Estimated Reading Time: 4 mins
They are called Kubo-Martin-Schwinger (KMS) boundary conditions. It is a simple exercise in linear algebra to show that the Gibbs state ω β is the only state on B(H) satisfying the KMS …
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If the given state satisfies the KMS boundary condition, then the part of the representation algebra in the first space does not contain any time translation invariant observable.
Clearly, the Gibbs state on a finite dimensional Hilbert space satisfies the KMS condition. As we shall see later, it is also the unique KMS state in this case 1 . The following theorem shows …
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This is the KMS condition; it characterizes equilibrium for nite systems, and is the de nition of equilibrium state at inverse temperature for general C*-algebraic systems pA; q. Remark: This …
The KMS boundary condition is an abstract equilibrium condition for quantum statis-tical mechanics. If ρ is a state and A, B are two observables and αt(A) is the observable into which …
Summary. -- We discuss some properties of the classical KMS boundary condition and find some sufficient conditions for its equivalence to the Kirkwood-Salzburg equations. 1. - Introduction. …
KMS States - SpringerLink
The KMS state occurs in statistical analysis as a state describing the thermal equilibrium of many body quantum systems [77, 78]. For oscillator systems and under particular conditions, the …
In this respect, the KMS boundary conditions could provide an alternative proof for the convergence of Gibbs states. These questions will be considered elsewhere and here
The problem of non-equilibrium statistical mechanics is to explain the oc-currence of an equilibrium state. This problem can be tackled in different ways. There is a direction where …
We investigate the possibility to generalize the KMS-boundary condition for a thermodynamical system by following essentially the same procedure that for a finite system would amount to …
KMS States and Thermal States - Physics Stack Exchange
Jan 29, 2018 · The KMS condition (which you consider not intuitive) is equivalent to the Gibbs condition e−βH e − β H on matrix algebras (finite-dimensional quantum systems). It seems …
High temperature convergence of the KMS boundary conditions: …
Apr 19, 2019 · The Kubo–Martin–Schwinger (KMS) condition is a widely studied fundamental property in quantum statistical mechanics which characterizes the thermal equilibrium states of …
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High temperature convergence of the KMS boundary conditions: …
Jul 14, 2020 · The Kubo–Martin–Schwinger (KMS) condition is a widely studied fundamental property in quantum statistical mechanics which characterizes the thermal equilibri...
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