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Specifically for the electron degeneracy pressure, m is substituted by the electron mass m e and the Fermi momentum is obtained from the Fermi energy, so the electron degeneracy pressure is given by = / /, where ρ e is the free electron density (the number of free electrons per unit volume).
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.
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.
This pressure is known as the degeneracy pressure. In this sense, systems composed of fermions are also referred as degenerate matter . Standard stars avoid collapse by balancing thermal pressure ( plasma and radiation) against gravitational forces.
This exotic form of matter is known as degenerate matter. The immense gravitational force of a star's mass is normally held in equilibrium by thermal pressure caused by heat produced in thermonuclear fusion in the star's core. In white dwarfs, which do not undergo nuclear fusion, an opposing force to gravity is provided by electron degeneracy ...
This pressure is called the electron degeneracy pressure and does not come from repulsion or motion of the electrons but from the restriction that no more than two electrons (due to the two values of spin) can occupy the same energy level. This pressure defines the compressibility or bulk modulus of the metal [Ashcroft & Mermin 8]
Quantum-mechanical electron degeneracy pressure in a block of copper [83] 48 GPa Detonation pressure of pure CL-20, [84] the most powerful high explosive in mass production 69 GPa 10,000,000 psi Highest water jet pressure attained in research lab [85] 96 GPa Pressure at which metallic oxygen forms (960,000 bar) [81] 10 11 Pa
Degenerate zeroth-order states of opposite parity occur for excited hydrogen-like (one-electron) atoms or Rydberg states. Neglecting fine-structure effects, such a state with the principal quantum number n is n 2 -fold degenerate and n 2 = ∑ ℓ = 0 n − 1 ( 2 ℓ + 1 ) , {\displaystyle n^{2}=\sum _{\ell =0}^{n-1}(2\ell +1),} where ℓ ...