quantum number


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quantum number

One of a set of integers or half integers characterizing the energy states of an elementary particle or system of particles. Physical properties, such as charge and spin, are described by quantum numbers.

quantum number

[′kwän·təm ‚nəm·bər]
(quantum mechanics)
One of the quantities, usually discrete with integer or half-integer values, needed to characterize a quantum state of a physical system; they are usually eigenvalues of quantum-mechanical operators or integers sequentially assigned to these eigenvalues.
References in periodicals archive ?
The physical significance of equatorial quantum number m is that, for a given value of l, 2 l + 1 specifies the number of states, distinguished by their values of m from -l to +l, that have distinct energies for a H atom in the presence of an externally applied magnetic field; that field hence removes a degeneracy whereby multiple states have the same energy.
In the Vienna experiment, it is theoretically possible to create entanglement regardless of the strength of the angular momentum or the scale of its quantum number.
For 'n' equals 3, the 'd' orbitals (1 = 2) enter, with magnetic quantum numbers of -2, -1, 0, +1, +2.
Namely, within any Landau cluster with the main quantum number fixed, according to (3.
In short, in this theory nodes carry quantum numbers of volume elements while links (among the different nodes of the net) carry quantum numbers of area elements.
q] interaction tends in general to decrease with increasing total quantum number of the corresponding discrete term.
The Austrian-born American physicist Wolfgang Pauli (1900-1958) considered the matter and felt that there was need for a fourth quantum number.
integer quantum number equal to the sequence number of the electron orbit in an atom as the distance it from its core [4, 7].
Parameters that appear in the solution but not in the partial-differential equation take discrete values, imposed by boundary conditions, as follows: m is called the equatorial, or magnetic, quantum number that assumes only integer values and that arises in the solution of the angular equation to define [PHI]([phi]), as in spherical polar coordinates; the first arguments of the associated Laguerre functions, m and n2, like radial quantum number k among the three quantum numbers pertaining to spherical polar coordinates, must be non-negative integers so that for bound states of the hydrogen atom the Laguerre functions in U(u) and V(v) terminate at finite powers of variable u or v, and remain finite for u or v taking large values, respectively.