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The spin magnetic quantum number m s specifies the z-axis component of the spin angular momentum for a particle having spin quantum number s. For an electron, s is 1 ⁄ 2 , and m s is either + 1 ⁄ 2 or − 1 ⁄ 2 , often called "spin-up" and "spin-down", or α and β.
Four quantum numbers can describe an electron energy level in a hydrogen-like atom completely: Principal quantum number (n) Azimuthal quantum number (ℓ) Magnetic quantum number (m ℓ) Spin quantum number (m s) These quantum numbers are also used in the classical description of nuclear particle states (e.g. protons and neutrons).
In quantum mechanics, the energies of cyclotron orbits of charged particles in a uniform magnetic field are quantized to discrete values, thus known as Landau levels.These levels are degenerate, with the number of electrons per level directly proportional to the strength of the applied magnetic field.
The phenomenon of magnetic resonance is rooted in the existence of spin angular momentum of a quantum system and its specific orientation with respect to an applied magnetic field. Both cases have no explanation in the classical approach and can be understood only by using quantum mechanics.
Magnetic quantum number; P. Parity (physics) ... Total angular momentum quantum number This page was last edited on 10 May 2014, at 19:11 (UTC). Text ...
In what follows, B is an applied external magnetic field and the quantum numbers above are used. Property or effect Nomenclature Equation orbital magnetic dipole moment:
The term in , is of the form which is the usual interaction between a magnetic moment and a magnetic field, like in the Zeeman effect. For an electron of charge − e {\textstyle -e} in an isotropic constant magnetic field, one can further reduce the equation using the total angular momentum J = L + S {\textstyle \mathbf {J} =\mathbf {L ...
The photon can be assigned a triplet spin with spin quantum number S = 1. This is similar to, say, the nuclear spin of the 14 N isotope , but with the important difference that the state with M S = 0 is zero, only the states with M S = ±1 are non-zero.