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reduced Planck constant

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1: 18.39 Physical Applications
18.39.1 ( - 2 2 m 2 x 2 + V ( x ) ) ψ ( x , t ) = i t ψ ( x , t ) ,
where is the reduced Planck’s constant. …
2: 33.22 Particle Scattering and Atomic and Molecular Spectra
With e denoting here the elementary charge, the Coulomb potential between two point particles with charges Z 1 e , Z 2 e and masses m 1 , m 2 separated by a distance s is V ( s ) = Z 1 Z 2 e 2 / ( 4 π ε 0 s ) = Z 1 Z 2 α c / s , where Z j are atomic numbers, ε 0 is the electric constant, α is the fine structure constant, and is the reduced Planck’s constant. The reduced mass is m = m 1 m 2 / ( m 1 + m 2 ) , and at energy of relative motion E with relative orbital angular momentum , the Schrödinger equation for the radial wave function w ( s ) is given by … For Z 1 Z 2 = - 1 and m = m e , the electron mass, the scaling factors in (33.22.5) reduce to the Bohr radius, a 0 = / ( m e c α ) , and to a multiple of the Rydberg constant, …
3: 14.30 Spherical and Spheroidal Harmonics
14.30.11 L 2 Y l , m = 2 l ( l + 1 ) Y l , m , l = 0 , 1 , 2 , ,
where is the reduced Planck’s constant. …