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  2. Spin-1/2 - Wikipedia

    en.wikipedia.org/wiki/Spin-1/2

    t. e. In quantum mechanics, spin is an intrinsic property of all elementary particles. All known fermions, the particles that constitute ordinary matter, have a spin of ⁠ 1 2 ⁠. [1][2][3] The spin number describes how many symmetrical facets a particle has in one full rotation; a spin of ⁠ 1 2 ⁠ means that the particle must be rotated ...

  3. Spin (physics) - Wikipedia

    en.wikipedia.org/wiki/Spin_(physics)

    Spin is an intrinsic form of angular momentum carried by elementary particles, and thus by composite particles such as hadrons, atomic nuclei, and atoms. [1][2]: 183 –184 Spin is quantized, and accurate models for the interaction with spin require relativistic quantum mechanics or quantum field theory. The existence of electron spin angular ...

  4. Spin quantum number - Wikipedia

    en.wikipedia.org/wiki/Spin_quantum_number

    It has the same value for all particles of the same type, such as s = ⁠ 1 / 2 ⁠ for all electrons. It is an integer for all bosons, such as photons, and a half-odd-integer for all fermions, such as electrons and protons. The component of the spin along a specified axis is given by the spin magnetic quantum number, conventionally written m s.

  5. List of particles - Wikipedia

    en.wikipedia.org/wiki/List_of_particles

    Fermions have half-integer spin while bosons have integer spin. All the particles of the Standard Model have been experimentally observed, including the Higgs boson in 2012. [2] [3] Many other hypothetical elementary particles, such as the graviton, have been proposed, but not observed experimentally.

  6. Dirac equation - Wikipedia

    en.wikipedia.org/wiki/Dirac_equation

    Quantum mechanics. In particle physics, the Dirac equation is a relativistic wave equation derived by British physicist Paul Dirac in 1928. In its free form, or including electromagnetic interactions, it describes all spin-1/2 massive particles, called "Dirac particles", such as electrons and quarks for which parity is a symmetry. It is ...

  7. Mathematical formulation of the Standard Model - Wikipedia

    en.wikipedia.org/wiki/Mathematical_formulation...

    The spin-half particles have no right/left chirality pair with the same SU(2) representations and equal and opposite weak hypercharges, so assuming these gauge charges are conserved in the vacuum, none of the spin-half particles could ever swap chirality, and must remain massless. Additionally, we know experimentally that the W and Z bosons are ...

  8. Spin–statistics theorem - Wikipedia

    en.wikipedia.org/wiki/Spin–statistics_theorem

    The spin–statistics theorem proves that the observed relationship between the intrinsic spin of a particle (angular momentum not due to the orbital motion) and the quantum particle statistics of collections of such particles is a consequence of the mathematics of quantum mechanics. In units of the reduced Planck constant ħ, all particles ...

  9. Singlet state - Wikipedia

    en.wikipedia.org/wiki/Singlet_state

    In quantum mechanics, a singlet state usually refers to a system in which all electrons are paired. The term 'singlet' originally meant a linked set of particles whose net angular momentum is zero, that is, whose overall spin quantum number . As a result, there is only one spectral line of a singlet state. In contrast, a doublet state contains ...