• In statistical mechanics, multiplicity (also called statistical weight) refers to the number of microstates corresponding to a particular macrostate of...
    4 KB (597 words) - 11:55, 8 April 2025
  • Thumbnail for Partition function (statistical mechanics)
    represent a particular statistical ensemble (which, in turn, corresponds to a particular free energy). The most common statistical ensembles have named...
    30 KB (5,025 words) - 07:13, 23 April 2025
  • Thumbnail for Microstate (statistical mechanics)
    In statistical mechanics, a microstate is a specific configuration of a system that describes the precise positions and momenta of all the individual...
    11 KB (1,621 words) - 02:02, 17 March 2025
  • overlapping identities Statistical multiplicity, also known as the problem of multiple comparisons Multiplicity (Christianity) Multiplicity (philosophy), a philosophical...
    1 KB (208 words) - 04:17, 17 June 2024
  • eigenvalue's geometric multiplicity cannot exceed its algebraic multiplicity. Additionally, recall that an eigenvalue's algebraic multiplicity cannot exceed n...
    102 KB (13,617 words) - 15:46, 13 May 2025
  • The multiplicity function for a two state paramagnet, W(n,N), is the number of spin states such that n of the N spins point in the z-direction. This function...
    1 KB (155 words) - 04:20, 28 September 2022
  • S2CID 55537196. Marchildon, Louis (2015). "Multiplicity in Everett's interpretation of quantum mechanics". Studies in History and Philosophy of Modern...
    22 KB (2,527 words) - 17:25, 16 April 2025
  • Thumbnail for Boltzmann's entropy formula
    In statistical mechanics, Boltzmann's entropy formula (also known as the Boltzmann–Planck equation, not to be confused with the more general Boltzmann...
    13 KB (1,572 words) - 21:53, 22 May 2025
  • Two-dimensional gas (category Statistical mechanics)
    multi-body systems rather than through the conventional methods of statistical mechanics. While this question appears intractable from a three-dimensional...
    9 KB (1,119 words) - 18:25, 23 February 2025
  • Thumbnail for Quantum entanglement
    [Group Theory and Quantum Mechanics]. Translated by Robertson, H. P. (2nd ed.). pp. 92–93. Heathcote, Adrian (2021). "Multiplicity and indiscernability"....
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  • Thumbnail for Erwin Schrödinger
    In addition, he wrote many works on various aspects of physics: statistical mechanics and thermodynamics, physics of dielectrics, colour theory, electrodynamics...
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  • Boltzmann, James Clerk Maxwell and others develop the theory of statistical mechanics. Boltzmann argues that entropy is a measure of disorder. 1877 –...
    81 KB (9,968 words) - 20:21, 16 April 2025
  • Thumbnail for Quantum Bayesianism
    Retrieved 10 March 2017. Marchildon, Louis (2015). "Multiplicity in Everett's interpretation of quantum mechanics". Studies in History and Philosophy of Modern...
    70 KB (8,310 words) - 13:50, 6 November 2024
  • accurate models for the interaction with spin require relativistic quantum mechanics or quantum field theory. The existence of electron spin angular momentum...
    72 KB (10,584 words) - 13:14, 22 April 2025
  • advent of modern quantum mechanics. For a thermodynamic approach, the heat capacity can be derived using different statistical ensembles. All solutions...
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  • Primon gas (category Statistical mechanics)
    correspondences between number theory and methods in quantum field theory, statistical mechanics and dynamical systems such as the Lee-Yang theorem. It is a quantum...
    8 KB (1,318 words) - 13:46, 10 July 2024
  • Thumbnail for Singlet state
    paradoxes. Doublet state Spin multiplicity Triplet state Helium atom Griffiths, D.J. (1995). Introduction to Quantum Mechanics. Prentice Hall. p. 165. ISBN 9780131244054...
    11 KB (1,647 words) - 21:09, 8 July 2024
  • Thumbnail for Fermi–Dirac statistics
    Fermi–Dirac statistics is a part of the field of statistical mechanics and uses the principles of quantum mechanics. Fermi–Dirac statistics applies to identical...
    30 KB (4,823 words) - 13:26, 20 November 2024
  • modern quantum mechanics. The theory was never complete or self-consistent, but was instead a set of heuristic corrections to classical mechanics. The theory...
    33 KB (4,834 words) - 21:57, 3 May 2025
  • Principle of maximum entropy (category Statistical principles)
    correspondence between statistical mechanics and information theory. In particular, Jaynes argued that the Gibbsian method of statistical mechanics is sound by also...
    31 KB (4,196 words) - 01:16, 21 March 2025
  • Thumbnail for Maxwell–Boltzmann statistics
    In statistical mechanics, Maxwell–Boltzmann statistics describes the distribution of classical material particles over various energy states in thermal...
    26 KB (5,136 words) - 03:58, 21 May 2025
  • symbol S), the SI unit of electrical conductance. In statistical mechanics, Ω refers to the multiplicity (number of microstates) in a system. The solid angle...
    23 KB (3,046 words) - 01:28, 24 May 2025
  • Thumbnail for Ising model
    Ising model (category Statistical mechanics)
    and Wilhelm Lenz, is a mathematical model of ferromagnetism in statistical mechanics. The model consists of discrete variables that represent magnetic...
    126 KB (20,177 words) - 22:25, 22 May 2025
  • KTHNY theory (category Statistical mechanics)
    In statistical mechanics, the Kosterlitz–Thouless–Halperin–Nelson–Young (KTHNY) theory describes the process of melting of crystals in two dimensions...
    24 KB (3,768 words) - 14:30, 7 April 2025
  • Thumbnail for Multiverse
    Multiverse (category Quantum mechanics)
    theory—also turns out (much to the theorists' surprise) to imply a vast multiplicity of vacuum states, essentially the same thing as predicting the existence...
    67 KB (7,461 words) - 18:55, 23 May 2025
  • Thumbnail for Normalized solution (mathematics)
    Normalized solution (mathematics) (category Quantum mechanics)
    nonlinear Schrödinger equation (NLSE) is a fundamental equation in quantum mechanics and other various fields of physics, describing the evolution of complex...
    17 KB (2,420 words) - 03:41, 8 February 2025
  • Thumbnail for Brownian motion
    Brownian motion (category Statistical mechanics)
    populations can be employed to describe it. Two such models of the statistical mechanics, due to Einstein and Smoluchowski, are presented below. Another...
    55 KB (7,140 words) - 01:57, 7 May 2025
  • quantum Gaudin model, is a model, or a large class of models, in statistical mechanics first described in its simplest case by Michel Gaudin. They are...
    14 KB (2,130 words) - 19:56, 6 September 2024
  • Thumbnail for Turbulence
    distributed over the multiplicity of scales is a fundamental characterization of a turbulent flow. For homogeneous turbulence (i.e., statistically invariant under...
    47 KB (5,606 words) - 11:04, 1 May 2025
  • Thumbnail for Negative binomial distribution
    binomial distribution has been the most effective statistical model for a broad range of multiplicity observations in particle collision experiments, e...
    55 KB (8,233 words) - 15:28, 30 April 2025