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quantum number

(number representing a conserved quantity)

A quantum number is a number used in quantum mechanics that represents an amount of some quality that is preserved through interactions between particles, e.g., if two particles simply combine, then their resulting particle has the sum of their individual quantum numbers representing that quality. An atom or subatomic particle has a number of these quantum numbers, each of its numbers of a specific type. Through any interaction among the particles, including splitting or combining, the sum of the quantum numbers of each type remains unchanged. This is analogous to the physics concept of the conservation of energy: that total energy remains the same through an interaction, but quantum numbers deal with finer detail.

There are a number of "well known" quantum numbers associated with normal matter, i.e., with electrons, protons, neutrons, and atoms, which are used in the quantum-mechanical description of their interactions of interest.

Examples of interactions in which quantum number conservation is of interest include emission of a photon by an atom whose electrons have a more-than-minimal state of excitation, the analogous absorption, photoionization, fission, fusion, and beta decay.

Example types of quantum numbers are spin and electric charge. Quantum numbers are generally specified so as to always be integral, though spin is defined such that the smallest unit is termed 1/2. (See "electron orbital" for more regarding quantum numbers associated with electron orbits.)


(quantum mechanics,physics)
Further reading:
https://en.wikipedia.org/wiki/Quantum_number
https://phys.libretexts.org/Bookshelves/College_Physics/College_Physics_1e_(OpenStax)/30%3A_Atomic_Physics/30.08%3A_Quantum_Numbers_and_Rules
https://chemed.chem.purdue.edu/genchem/topicreview/bp/ch6/quantum.html
https://pressbooks.online.ucf.edu/phy2053bc/chapter/quantum-numbers-and-rules/

Referenced by pages:
antimatter
black-hole information paradox
conservation law
electron orbital
electron pressure
electron shell
neutralino
neutrinoless double beta decay
particle
Pauli exclusion principle
quantum mechanics (QM)
quasiparticle
spin (ms)
supersymmetry (SUSY)

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