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Topic: Statistical ensemble (mathematical physics)


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In the News (Fri 18 Dec 09)

  
 Statistical ensemble (mathematical physics) - Wikipedia, the free encyclopedia
In mathematical physics, especially as introduced into statistical mechanics and thermodynamics by J.
Willard Gibbs in 1878, an ensemble (also statistical ensemble or thermodynamic ensemble) is an idealization consisting of a large number of mental copies (possibly infinitely many) of a system, considered all at once, each of which represents a possible state that the real system might be in.
The notional size of the mental ensembles in thermodynamics, statistical mechanics and quantum statistical mechanics can be very large indeed, to include every possible microscopic state the system could be in, consistent with its observed macroscopic properties.
en.wikipedia.org /wiki/Statistical_ensemble   (1144 words)

  
 Ensemble - Wikipedia, the free encyclopedia
a statistical ensemble in mathematical physics, for example
This is a disambiguation page: a list of articles associated with the same title.
en.wikipedia.org /wiki/Ensemble   (81 words)

  
 Ensemble - Wikipedia, the free encyclopedia
a statistical ensemble in mathematical physics, for example
This is a disambiguation page, a list of pages that otherwise might share the same title.
en.wikipedia.org /wiki/Ensemble   (73 words)

  
 Quantum computer - Wikipedia, the free encyclopedia
The ensemble is initialized to be the thermal equilibrium state (see quantum statistical mechanics).
In quantum mechanics, the state of a physical system (such as an electron or a photon) is described by an element of a mathematical object called a Hilbert space.
This could be a great boon to physics, chemistry, materials science, nanotechnology, biology and medicine, all of which are limited today by the slow speed of quantum mechanical simulations.
en.wikipedia.org /wiki/Quantum_computer   (3422 words)

  
 Phase space - Psychology Central
The motion of an ensemble of systems in this space is studied by classical statistical mechanics.
Note that the phase space of thermodynamics, which is the parameter space in which one describes the phases of a system is also a phase space in the mathematical sense of the term, because it is the space of thermodynamic (macroscopic) parameters, like pressure and temperature.
Image:Focal stability.png In mathematics and physics, phase space is the space in which all possible states of a system are represented, with each possible state of the system corresponding to one unique point in the phase space.
psychcentral.com /psypsych/Phase_space   (637 words)

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