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...perators and General Phase-Space Methods in Quantum Mechanics. II. Quantum Mechanics in Phase Space", ''Phys. Rev. D'','''2''' (1970) pp. 2187–2205. {{doi|10.11 [[Category:Theorems in quantum mechanics]] ...

{{Short description|Statistical mechanics theorem relating non-equilibrium work to free energy differences}} {{Statistical mechanics}} ...

{{Short description|Thermodynamics-like result in classical mechanics}} The '''Helmholtz theorem of classical mechanics''' reads as follows: ...

...he integrand is not sufficiently smooth. It is also studied in statistical mechanics in the context of [[random field]]s. ==Ray–Knight theorems== ...

{{Short description|Model particles in statistical mechanics}} ...heres''' are widely used as model particles in the [[statistical mechanics|statistical mechanical]] theory of fluids and solids. They are defined simply as impene ...

...s]] and [[Non-equilibrium statistical mechanics|nonequilibrium statistical mechanics]] and the simulation of nonequilibrium fluids. ...ge Institute. Evans is best known for his contributions to the statistical mechanics of nonequilibrium systems including the derivation and experimental validat ...

...tructure of its dual is a [[Borel set#Standard Borel spaces and Kuratowski theorems|standard Borel space]]. ...cal formulation of quantum mechanics|quantum mechanics]] and [[statistical mechanics]]. ...

...on high energy [[neutrino]] processes, [[current algebra]], soft [[pion]] theorems, ...m quantum gravity' and 'dynamical collapse of the wave-function in quantum mechanics'<nowiki></nowiki>'', International Journal of Modern Physics D, vol.&nbsp;1 ...

{{Short description|Key result in Hamiltonian mechanics and statistical mechanics}} {{About|Liouville's theorem in Hamiltonian mechanics||Liouville's theorem (disambiguation){{!}}Liouville's theorem}} ...

...ench]] [[Mathematical physics|mathematical physicist]]. He has worked on [[statistical physics]] and [[Dynamical system|dynamical systems]]. With [[Floris Takens] ...last3=Ruelle|first3=David|last4=Speer|first4=Eugene R.|title=Central limit theorems, Lee--Yang zeros, and graph-counting polynomials|journal=[[Journal of Combi ...

...atistical [[sequential analysis]]". He is a professor of the department of mechanics and mathematics of Moscow State University, since 1971. {{As of|2007}} Shir He was elected in 1985 an honorary member of the [[Royal Statistical Society]] and in 1990 a member of [[Academia Europaea]].<ref>{{cite web|tit ...

{{Statistical mechanics|cTopic=Ensembles}} ...Sons]] |location=New York|title-link=Elementary Principles in Statistical Mechanics }}</ref> The system can exchange energy with the heat bath, so that the sta ...

{{Use American English|date=January 2019}}{{Quantum mechanics}}{{More citations needed|date=December 2008}} | a physical system had a determinate [[Classical mechanics|state]] that uniquely determined all the values of its measurable propertie ...

...the context of [[ergodic theory]], [[dynamical systems]] and [[statistical mechanics]]. Systems to which the Poincaré recurrence theorem applies are called [[co ...ork, NY |at=Chapter&nbsp;X|title-link=Elementary Principles in Statistical Mechanics }}</ref> ...

...aration. This conclusion preserves the principle of causality in [[quantum mechanics]] and ensures that information transfer does not violate special relativity The no-communication theorem states that, within the context of quantum mechanics, it is not possible to transmit classical bits of information by means of c ...

...e study of classical mechanics itself.<ref>John Robert Taylor. ''Classical Mechanics''. Sausalito, Calif., University Science Books, Cop, 2005.</ref> ...mmon in [[abstract algebra]], where they often take the form of “structure theorems,” expressing the structure of an object in a simple form. These results are ...

...guage'' (notwithstanding the problem that whether [[Gödel's incompleteness theorems|mathematical theory is inconsistent]] or not). And popularization of genera ...re|Category:Data analysis software|l3=Data analysis software|Comparison of statistical packages}} ...

...theory of [[quantum mechanics]], the effort to understand the statistical mechanics of black holes has had a deep impact upon the understanding of [[quantum gr ...doi=10.1103/PhysRevLett.99.201101 |pmid=18233129 |title=Black-Hole No-Hair Theorems for a Positive Cosmological Constant |journal=Physical Review Letters |year ...

...nts the number of items to be given the label {{mvar|i}}. (In statistical mechanics {{mvar|i}} is the label of the energy state.) [[Category:Theorems about polynomials]] ...

| [[Bell's theorem]] || Quantum mechanics || [[John Stewart Bell]] | [[Bogoliubov transformation]] || Quantum mechanics || [[Nikolay Bogoliubov]] ...