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...finite [[distributive lattice]]. It is a fundamental tool in [[statistical mechanics]] and [[Combinatorics#Probabilistic_combinatorics|probabilistic combinatori [[Category:Theorems in combinatorics]] ...

...uivalent forms of the Bessis-Moussa-Villani conjecture|journal= Journal of Statistical Physics|volume=115|issue=1–2|pages=185–190|year=2004|doi=10.1023/B:JOSS.000 [[Category:Theorems in analysis]] ...

{{Short description|Theorem in statistical mechanics}} ...tion (statistical mechanics)|partition functions]] of certain models in [[statistical field theory]] with ferromagnetic interactions are considered as functions ...

In [[complex analysis]], a discipline in mathematics, and in [[statistical physics]], the '''Asano contraction''' or '''Asano–Ruelle contraction''' is ...reater than 1.<ref name=asano>{{cite journal|last1=Asano|first1=Taro|title=Theorems on the Partition Functions of the Heisenberg Ferromagnets|journal=Journal o ...

...uwen theorem''' states that when [[statistical mechanics]] and [[classical mechanics]] are applied consistently, the [[thermal average]] of the [[magnetization] ...irst = J. H. |author-link=John Hasbrouck Van Vleck |contribution = Quantum mechanics: The key to understanding magnetism (Nobel lecture, 8 December 1977) |title ...

...t in [[probability theory]], [[mathematical statistics]] and [[statistical mechanics]] that gives necessary and sufficient conditions under which a strictly pos }}</ref> in the context of [[statistical mechanics]]. The theorem is named after [[John Hammersley]] and [[Peter Clifford (sta ...

In [[quantum field theory]] and [[statistical field theory]], '''Elitzur's theorem''' states that in [[gauge theory|gauge ...ll possible ground states, averaging away the [[expectation value (quantum mechanics)|expectation value]] of the operator.<ref>{{cite book|last=Shankar|first=R. ...

{{Short description|Correlation inequality in statistical mechanics}} In [[statistical mechanics]], the '''Griffiths inequality''', sometimes also called '''Griffiths&ndash ...

...kkens]] in 2004, to argue in favour of the [[epistemic]] view of [[quantum mechanics]]. The model is based on a foundational principle: "If one has maximal know ...'s theorem]] tells us cannot ever reproduce all the predictions of quantum mechanics. The toy model does, however, reproduce a number of strange quantum effects ...

{{Short description|Formulation of classical mechanics in terms of Hilbert spaces}} {{Classical mechanics|cTopic=Formulations}} ...

...tion+of+Hilbert+Space+Structur&pg=PA1|title=An Axiomatic Basis for Quantum Mechanics: Volume 1 Derivation of Hilbert Space Structure|date=2012-12-06|publisher=S ...tolz| first = Peter| title = Attempt of an axiomatic foundation of quantum mechanics and more general theories VI| journal = Communications in Mathematical Phys ...

...=1971 |title=Invariant variation problems |journal=[[Transport Theory and Statistical Physics]] |volume=1 |issue=3 |pages=186–207 |arxiv=physics/0503066 |bi ...''S'' of a physical system is an [[integral]] of a so-called [[Lagrangian mechanics|Lagrangian]] function ''L'', from which the system's behavior can be determ ...

...by results in [[algebraic quantum field theory]] and [[quantum statistical mechanics]] due to the school of [[Rudolf Haag]], that the more general non-tracial [ ...d by Takesaki<ref name="Takesaki 2002"/> as a tool for proving commutation theorems for semifinite weights in [[Tomita–Takesaki theory]]; they can be dispensed ...

...via [[Correlation inequality|correlation inequalities]] and [[statistical mechanics]]. ...nomials and entire functions, via correlation inequalities and statistical mechanics. His thesis consists of two seemingly independent parts: one in vertex oper ...

...th.org/blog/2007/03/13/theories-theorems-lemmas-and-corollaries/ Theories, Theorems, Lemmas, and Corollaries.] Good Math, Bad Math blog.</ref> A physical theor ...ion (physics)|motions]] of unseen [[molecule|particles]] and the [[quantum mechanics|quantum mechanical]] idea that ([[action (physics)|action]] and) [[energy]] ...

{{Short description|Problem in statistical physics}}{{Primary sources|date=November 2024}} ...he stability of matter was a theoretical problem that required a [[Quantum mechanics|quantum mechanical]] explanation. ...

{{Short description|Formulation of quantum mechanics}} {{Quantum mechanics|cTopic=Formulations}} ...

In [[quantum mechanics]], specifically [[time-dependent density functional theory]], the '''Runge– ...ical physics)|ensembles]], which employed the [[Liouville equation#Quantum mechanics|Liouville equation]] to relate the Hamiltonian and [[density matrix]].<ref> ...

...namical phenomenon which leads to the breakdown of equilibrium statistical mechanics in isolated many-body systems. Such systems never reach local [[thermal equ ...together. As an example, the [[Mermin–Wagner theorem|Peierls-Mermin-Wagner theorems]] prove that a one dimensional system cannot [[spontaneous symmetry breakin ...

...tp://link.springer.com/10.1007/978-3-662-02761-5 |title=A Course on Damage Mechanics |date=1992 |publisher=Springer Berlin Heidelberg |isbn=978-3-662-02763-9 |l ...22637}}</ref> [[Microvoid coalescence|Rice-Tracey model]], and [[Fracture mechanics|J-Q]] large scale yielding model incorporate stress triaxiality. ...