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 ?
* [S.sub.1] = [[([v.sup.0.sub.e], e-, E-) [producto cruzado] e+ [producto cruzado] E+].sub.L] with quantum numbers (1, 3,-2/3); (1, 1, 1) and (1, 1, 1) respectively.
In this formula, Lande introduced a fourth Quantum Number with a half-integer number value (S = 1/2).
a canonical linear harmonic oscillator with a quadratic dependence of the potential energy on the displacement from an equilibrium condition, 2) a rotor with a fixed axis that produced an energy proportional to the square of a quantum number, 3) a rigid rotor with a free axis that produced a rotational energy based on functional J (J + 1) and 4) a non-rigid rotor as a model of a diatomic molecule that produced again an energy dependent on the same functional.
In our numerical work, we solve (6) with the adiabatic potential (7) by using the numerical trigonometric sweep method [23] and we find electron energies [E.sub.m,n] for twenty different magnetic quantum numbers m = 0,-1, -2, ..., -19 and two different axial quantum numbers n= 1,2.
where n is an integer principal quantum number, [zeta] is the screening constant, and [S.sub.lm] ([theta], [phi]) is a complex or real spherical harmonic (see [27-29] for exact definitions).
For the first time settlement and experimentally investigated for a round galvanized steel wires, is confirmed the important fundamentals of the theory of electricity electrophysical the fact that in this metal conductor used with aperiodic pulsed axial current conduction time form 9 ms/160 ms and high density (about 0.37 kA/[mm.sup.2]) in the longitudinal direction extend quantized coherent electronic half-wave of de Broglie length [[lambda].sub.enz]/2 defined during the investigations by the quantum numbers n=1,3,9.
The value of the angular momentum quantum number L as well as the curvature of the surface of these complex carbon structures clearly plays a crucial role in shaping the effective potential.
Quantum physics is usually considered to be the theory of extremely lightweight objects, such as atoms or photons, or of exceptionally small units, namely very small quantum numbers.
[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] are the spin and pseudo-spin spherical harmonics functions, respectively, [F.sub.nk] (r) and [G.sub.nk] (r) are the radial wave functions of the upper- and the lower-spinor components respectively, m is the projection of the total angular momentum on the z-axis, n is the radial quantum number. The orbital and the pseudo-orbital angular momentum quantum numbers for spin symmetry l and pseudo-spin symmetry [??] refer to the upper- and lowercomponent respectively.
From this idea, he postulated the azimuthal quantum number. He later introduced the magnetic quantum number as well.
From now on, the quantum number m (the canonical angular momentum number) will be considered fixed unless stated otherwise in a explicit way.