principal quantum number

(redirected from Radial quantum number)
Also found in: Encyclopedia.
Related to Radial quantum number: Principal quantum number

principal quantum number

References in periodicals archive ?
The mathematical significance of radial quantum number k is that it specifies the number of radial nodes of an amplitude function--i.
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.
xi]] [right arrow] radial quantum number k for spherical polar coordinates, [n.