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  2. Density of states - Wikipedia

    en.wikipedia.org/wiki/Density_of_states

    The density of states related to volume V and N countable energy levels is defined as: = = (()). Because the smallest allowed change of momentum for a particle in a box of dimension and length is () = (/), the volume-related density of states for continuous energy levels is obtained in the limit as ():= (()), Here, is the spatial dimension of the considered system and the wave vector.

  3. Effective mass (solid-state physics) - Wikipedia

    en.wikipedia.org/wiki/Effective_mass_(solid...

    In solid state physics, a particle's effective mass (often denoted ) is the mass that it seems to have when responding to forces, or the mass that it seems to have when interacting with other identical particles in a thermal distribution. One of the results from the band theory of solids is that the movement of particles in a periodic potential ...

  4. Stoner criterion - Wikipedia

    en.wikipedia.org/wiki/Stoner_criterion

    This is the Stoner criterion, expressed in terms of the = density of states [note 1] at the Fermi energy (). A non-zero P {\displaystyle P} state may be favoured over P = 0 {\displaystyle P=0} even before the Stoner criterion is fulfilled.

  5. Electronic band structure - Wikipedia

    en.wikipedia.org/wiki/Electronic_band_structure

    The density of states function is important for calculations of effects based on band theory. In Fermi's Golden Rule , a calculation for the rate of optical absorption , it provides both the number of excitable electrons and the number of final states for an electron.

  6. Hofstadter's butterfly - Wikipedia

    en.wikipedia.org/wiki/Hofstadter's_butterfly

    In condensed matter physics, Hofstadter's butterfly is a graph of the spectral properties of non-interacting two-dimensional electrons in a perpendicular magnetic field in a lattice. The fractal, self-similar nature of the spectrum was discovered in the 1976 Ph.D. work of Douglas Hofstadter [1] and is one of the early examples of modern ...

  7. List of states and territories of the United States by ...

    en.wikipedia.org/wiki/List_of_states_and...

    New Jersey is the most densely populated state. New York is home to the most populous city in the country, and ranks 8th among the states in density. Despite a small population, Vermont has fairly average population density because of its small area. Idaho 's population has increased rapidly in recent decades, but its population density is ...

  8. Fermi–Dirac statistics - Wikipedia

    en.wikipedia.org/wiki/Fermi–Dirac_statistics

    Statistical mechanics. Fermi–Dirac statistics is a type of quantum statistics that applies to the physics of a system consisting of many non-interacting, identical particles that obey the Pauli exclusion principle. A result is the Fermi–Dirac distribution of particles over energy states. It is named after Enrico Fermi and Paul Dirac, each ...

  9. Empty lattice approximation - Wikipedia

    en.wikipedia.org/wiki/Empty_lattice_approximation

    The empty lattice approximation is a theoretical electronic band structure model in which the potential is periodic and weak (close to constant). One may also consider an empty [clarification needed] irregular lattice, in which the potential is not even periodic. [1] The empty lattice approximation describes a number of properties of energy ...

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