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  2. Pauli exclusion principle - Wikipedia

    en.wikipedia.org/wiki/Pauli_exclusion_principle

    In quantum mechanics, the Pauli exclusion principle states that two or more identical particles with half-integer spins (i.e. fermions) cannot simultaneously occupy the same quantum state within a system that obeys the laws of quantum mechanics. This principle was formulated by Austrian physicist Wolfgang Pauli in 1925 for electrons, and later ...

  3. Pauli matrices - Wikipedia

    en.wikipedia.org/wiki/Pauli_matrices

    Pauli matrices. Wolfgang Pauli (1900–1958), c. 1924. Pauli received the Nobel Prize in physics in 1945, nominated by Albert Einstein, for the Pauli exclusion principle. In mathematical physics and mathematics, the Pauli matrices are a set of three 2 × 2 complex matrices that are traceless, Hermitian, involutory and unitary.

  4. Exchange interaction - Wikipedia

    en.wikipedia.org/wiki/Exchange_interaction

    In chemistry and physics, the exchange interaction is a quantum mechanical constraint on the states of indistinguishable particles. While sometimes called an exchange force, or, in the case of fermions, Pauli repulsion, its consequences cannot always be predicted based on classical ideas of force. [1] Both bosons and fermions can experience the ...

  5. Pauli equation - Wikipedia

    en.wikipedia.org/wiki/Pauli_equation

    Pauli's equation is derived by requiring minimal coupling, which provides a g -factor g =2. Most elementary particles have anomalous g -factors, different from 2. In the domain of relativistic quantum field theory, one defines a non-minimal coupling, sometimes called Pauli coupling, in order to add an anomalous factor.

  6. Fermi–Dirac statistics - Wikipedia

    en.wikipedia.org/wiki/Fermi–Dirac_statistics

    e. 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 of whom derived the ...

  7. VIP2 experiment - Wikipedia

    en.wikipedia.org/wiki/VIP2_experiment

    The VIP2 experiment (Violation of the Pauli Principle) is an atomic physics experiment studying the possible violation of the Pauli exclusion principle for electrons. The experiment is located in the underground laboratory of Gran Sasso, LNGS-INFN, near the town L'Aquila in Italy. It is run by an international collaboration of researchers from ...

  8. Grassmann number - Wikipedia

    en.wikipedia.org/wiki/Grassmann_number

    For example, a single Grassmann number can be thought of as generating a one-dimensional space. A vector space, the m -dimensional superspace , then appears as the m -fold Cartesian product of these one-dimensional Λ . {\displaystyle \Lambda .} [ clarification needed ] It can be shown that this is essentially equivalent to an algebra with m ...

  9. Indistinguishable particles - Wikipedia

    en.wikipedia.org/wiki/Indistinguishable_particles

    There are two main categories of identical particles: bosons, which can share quantum states, and fermions, which cannot (as described by the Pauli exclusion principle). Examples of bosons are photons, gluons, phonons, helium-4 nuclei and all mesons. Examples of fermions are electrons, neutrinos, quarks, protons, neutrons, and helium-3 nuclei.