# degeneracy

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**Bose–Einstein statistics**— In statistical mechanics, Bose Einstein statistics (or more colloquially B E statistics) determines the statistical distribution of identical indistinguishable bosons over the energy states in thermal equilibrium.ConceptBosons, unlike fermions,… …112

**Catastrophe theory**— This article refers to the study of dynamical systems. For other meanings, see catastrophe. In mathematics, catastrophe theory is a branch of bifurcation theory in the study of dynamical systems; it is also a particular special case of more… …113

**Normal mode**— For other types of mode, see Mode (disambiguation). Vibration of a single normal mode of a circular disc with a pinned boundary condition along the entire outer edge. See other modes. A normal mode of an oscillating system is a pattern of motio …114

**Gravitational collapse**— in astronomy is the inward fall of a massive body under the influence of the force of gravity. It occurs when all other forces fail to supply a sufficiently high pressure to counterbalance gravity and keep the massive body in hydrostatic… …115

**Gas in a box**— In quantum mechanics, the results of the quantum particle in a box can be used to look at the equilibrium situation for a quantum ideal gas in a box which is a box containing a large number of molecules which do not interact with each other… …116

**Gas in a harmonic trap**— The results of the quantum harmonic oscillator can be used to look at the equilibrium situation for a quantum ideal gas in a harmonic trap, which is a harmonic potential containing a large number particles that do not interact with each other… …117

**Cartan's equivalence method**— In mathematics, Cartan s equivalence method is a technique in differential geometry for determining whether two geometrical structures are the same up to a diffeomorphism. For example, if M and N are two Riemannian manifolds with metrics g and h …118

**Socialism and LGBT rights**— [ thumb|right|150px|Qiu Jin (1875 1907), Chinese left wing revolutionary cross dresser.] While gay rights is seen by many in the western world today as a left wing political issue, sexual minorities and gender variant people do not belong as a… …119

**Conical intersection**— Ideal Conical Intersection In quantum chemistry, a conical intersection of two potential energy surfaces of the same spatial and spin symmetries is the set of molecular geometry points where the two potential energy surfaces are degenerate… …120

**Octahedral molecular geometry**— Idealized structure of a compound with octahedral coordination geometry. In chemistry, octahedral molecular geometry describes the shape of compounds where in six atoms or groups of atoms or ligands are symmetrically arranged around a central… …