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.
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In this case, as in the cases with the quantum numbers n=1 (see.
Calculation-experimental method of research in a metallic conductor with the pulse current of electronic wavepackages and de Broglie electronic half-waves
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.
The hydrogen atom according to wave mechanics--I. spherical polar coordinates
azimuthal, magnetic, and spin quantum numbers in the form of angles and
On the descriptive geometric interpretation of Pauli Principle, elements of the Mendeleev table of chemical elements, and the Newtonian laminar current of a liquid
The rotational quantum number j for the diatom is found from:
Effects of the vibrational motion of [XHY.sup.-] on the post-photo detachment dissociation dynamics of the XHY complex (X, Y = Br, I)
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.
World record for entanglement of twisted light quanta set
For 'n' equals 3, the 'd' orbitals (1 = 2) enter, with magnetic quantum numbers of -2, -1, 0, +1, +2.
Ligand field theory and the origin of life as an emergent feature of the periodic table of elements
Namely, within any Landau cluster with the main quantum number fixed, according to (3.
The difference equation related to the problem of the hydrogen atom in a strong magnetic field
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.
Toward a new interpretation of subatomic particles and their motion inside a-temporal physical space
q] interaction tends in general to decrease with increasing total quantum number of the corresponding discrete term.
On the absorption spectrum of noble gases at the arc spectrum limit
The Austrian-born American physicist Wolfgang Pauli (1900-1958) considered the matter and felt that there was need for a fourth quantum number.
Exclusion principle
integer quantum number equal to the sequence number of the electron orbit in an atom as the distance it from its core [4, 7].
An anthology of the distinguished achievements in science and technique. Part 34: discovery and study of quantum-wave nature of microscopic world of matter
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.
The hydrogen atom according to wave mechanics II. Paraboloidal coordinates

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