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Degeneracy plays a fundamental role in quantum statistical mechanics. For an N -particle system in three dimensions, a single energy level may correspond to several different wave functions or energy states. These degenerate states at the same level all have an equal probability of being filled.
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.
Kramers' theorem. In quantum mechanics, the Kramers' degeneracy theorem states that for every energy eigenstate of a time-reversal symmetric system with half-integer total spin, there is another eigenstate with the same energy related by time-reversal. In other words, the degeneracy of every energy level is an even number if it has half-integer ...
In mathematics, a degenerate case is a limiting case of a class of objects which appears to be qualitatively different from (and usually simpler than) the rest of the class; [1] "degeneracy" is the condition of being a degenerate case. [2] The definitions of many classes of composite or structured objects often implicitly include inequalities.
An example of a résumé with a common format with the name John Doe. A résumé, sometimes spelled resume (or alternatively resumé), [ a ][ 1 ] is a document created and used by a person to present their background, skills, and accomplishments. Résumés can be used for a variety of reasons, but most often they are used to secure new employment.
In the United States and Canada, a jock is a stereotype of an athlete, or someone who is consumed by sports and sports culture, and does not take much interest in intellectual pursuits or other activities. [ 1 ][ 2 ] It is generally applied mostly to high school and college athletics participants who form a distinct youth subculture.
Degenerate semiconductor. A degenerate semiconductor is a semiconductor with such a high level of doping that the material starts to act more like a metal than a semiconductor. Unlike non-degenerate semiconductors, these kinds of semiconductor do not obey the law of mass action, which relates intrinsic carrier concentration with temperature and ...
For example, there is a specific tRNA molecule for the codon UCU and another specific for the codon UCC, both of which code for the amino acid serine. In this instance, if there was a thousand times less UCC tRNA than UCU tRNA, then the incorporation of serine into a polypeptide chain would happen a thousand times more slowly when a mutation ...
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