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  2. Orbital angular momentum of free electrons - Wikipedia

    en.wikipedia.org/wiki/Orbital_angular_momentum...

    Electrons in free space can carry quantized orbital angular momentum (OAM) projected along the direction of propagation. [1] This orbital angular momentum corresponds to helical wavefronts, or, equivalently, a phase proportional to the azimuthal angle. [2] Electron beams with quantized orbital angular momentum are also called electron vortex beams.

  3. Azimuthal quantum number - Wikipedia

    en.wikipedia.org/wiki/Azimuthal_quantum_number

    "Vector cones" of total angular momentum J (purple), orbital L (blue), and spin S (green). The cones arise due to quantum uncertainty between measuring angular momentum component. Due to the spin–orbit interaction in an atom, the orbital angular momentum no longer commutes with the Hamiltonian, nor does the spin. These therefore change over time.

  4. Quantum number - Wikipedia

    en.wikipedia.org/wiki/Quantum_number

    This would ultimately become the quantized values of the projection of spin, an intrinsic angular momentum quantum of the electron. In 1927 Ronald Fraser demonstrated that the quantization in the Stern-Gerlach experiment was due to the magnetic moment associated with the electron spin rather than its orbital angular momentum. [7]

  5. 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.

  6. Orbital motion (quantum) - Wikipedia

    en.wikipedia.org/wiki/Orbital_motion_(quantum)

    Quantum orbital motion involves the quantum mechanical motion of rigid particles (such as electrons) about some other mass, or about themselves.In classical mechanics, an object's orbital motion is characterized by its orbital angular momentum (the angular momentum about the axis of rotation) and spin angular momentum, which is the object's angular momentum about its own center of mass.

  7. List of equations in quantum mechanics - Wikipedia

    en.wikipedia.org/wiki/List_of_equations_in...

    Equation Angular momentum quantum numbers: ... L = electron orbital angular momentum; g ... The Cambridge Handbook of Physics Formulas. Cambridge University Press.

  8. Spin quantum number - Wikipedia

    en.wikipedia.org/wiki/Spin_quantum_number

    Here L is the total orbital angular momentum quantum number. [18] For atoms with a well-defined S, the multiplicity of a state is defined as 2 S + 1. This is equal to the number of different possible values of the total (orbital plus spin) angular momentum J for a given (L, S) combination, provided that S ≤ L (the typical case).

  9. Term symbol - Wikipedia

    en.wikipedia.org/wiki/Term_symbol

    In atomic physics, a term symbol is an abbreviated description of the total spin and orbital angular momentum quantum numbers of the electrons in a multi-electron atom.So while the word symbol suggests otherwise, it represents an actual value of a physical quantity.