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Conversely, two or more different states of a quantum mechanical system are said to be degenerate if they give the same value of energy upon measurement. The number of different states corresponding to a particular energy level is known as the degree of degeneracy (or simply the degeneracy) of the level.
A major influence on the theory was Emil Kraepelin, lining up degeneration theory with his psychiatry practice. The central idea of this concept was that in "degenerative" illness, there is a steady decline in mental functioning and social adaptation from one generation to the other.
Examples of degeneracy are found in the genetic code, when many different nucleotide sequences encode the same polypeptide; in protein folding, when different polypeptides fold to be structurally and functionally equivalent; in protein functions, when overlapping binding functions and similar catalytic specificities are observed; in metabolism, when multiple, parallel biosynthetic and ...
While degeneracy pressure usually dominates at extremely high densities, it is the ratio between degenerate pressure and thermal pressure which determines degeneracy. Given a sufficiently drastic increase in temperature (such as during a red giant star's helium flash ), matter can become non-degenerate without reducing its density.
Degeneracy (mathematics), a limiting case in which a class of object changes its nature so as to belong to another, usually simpler, class; Degeneracy (graph theory), a measure of the sparseness of a graph; Degeneration (algebraic geometry), the act of taking a limit of a family of varieties
is the degeneracy of energy level i, that is, the number of states with energy which may nevertheless be distinguished from each other by some other means, [nb 1] μ is the chemical potential, k is the Boltzmann constant, T is absolute temperature,
The discovery of this effect contributed importantly to the development of quantum theory and Stark was awarded with the Nobel Prize in Physics in the year 1919. Inspired by the magnetic Zeeman effect , and especially by Hendrik Lorentz 's explanation of it, Woldemar Voigt [ 2 ] performed classical mechanical calculations of quasi-elastically ...
Jacobus van 't Hoff (1852–1911), an influential theoretical chemist and the first winner of the Nobel Prize in Chemistry.. Theoretical chemistry is the branch of chemistry which develops theoretical generalizations that are part of the theoretical arsenal of modern chemistry: for example, the concepts of chemical bonding, chemical reaction, valence, the surface of potential energy, molecular ...