The colourful term " ultraviolet catastrophe " was given by Paul Ehrenfest in 1911 to the paradoxical result that the total energy in the cavity tends to infinity when the equipartition theorem of classical statistical mechanics is ( mistakenly ) applied to black body radiation.
12.
Being one of the most general results of classical statistical mechanics, it is still used in calculating properties of physical systems, ranging from the average tumbling rate of proteins in solution to the maximum mass of a neutron star before it collapses into a black hole.
13.
Von Neumann's abstract treatment permitted him also to confront the foundational issue of determinism versus non-determinism, and in the book he presented a proof that the statistical results of quantum mechanics could not possibly be averages of an underlying set of determined " hidden variables, " as in classical statistical mechanics.
14.
Das Sarma also made important contributions to the classical statistical mechanics problem of dynamical growth of systems far from equilibrium where his work introduced the standard model for understanding the molecular beam epitaxy of thin film growth, both from a continuum field theory viewpoint in terms of the so-called Das Sarma-Tamborenea model.
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Sure, there's scope for improvement at Quantum statistical mechanics-- for example more chat about " why " this might be the natural transposition into the quantum world of the understanding and arguments developed in classical statistical mechanics ( at the moment the qsm article rather baldly just sets out formulas ).
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The WDF was first proposed in physics to account for quantum corrections to classical statistical mechanics in 1932 by Eugene Wigner, and it is of importance in quantum mechanics in phase space ( see, by way of comparison : " Wigner quasi-probability distribution ", also called the " Wigner function " or the " Wigner Ville distribution " ).
17.
The chief advantage of the phase space formulation is that it makes quantum mechanics appear as similar to Hamiltonian mechanics as possible by avoiding the operator formalism, thereby "'freeing'the quantization of the'burden'of the Hilbert space . " This formulation is statistical in nature and offers logical connections between quantum mechanics and classical statistical mechanics, enabling a natural comparison between the two ( cf . classical limit ).
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