When radial symmetry is present in a system being solved using this technique, replacing the angularmomentum factor l times quantity l plus one with l plus one-half all to the one-half yields better results.This technique is in the same class as the stationary phase method, which is also based on the saddlepointmethod of evaluation of integrals. A linearized potential, whose solutions are linear combinations of theAiry functions, is used when the total energy is equal to
When radial symmetry is present in a system being solved using this technique, replacing the angularmomentum factor l times quantity l plus one with l plus one-half all to the one-half yields better results.This technique is in the same class as the stationary phase method, which is also based on the saddlepointmethod of evaluation of integrals. A linearized potential, whose solutions are linear combinations of theAiry functions, is used when the total energy is equal to the potential energy, a so-called "turning point",where this technique breaks down. This technique is often applied to the harmonic oscillator, Morsepotential, and tunneling probability because it is exact in those cases. This method assumes that the solutionis plane wave whose amplitude and phase vary slowly. The first person to develop this technique wasHarold Jeffreys. For 10 points, identify this semiclassical approximation used to find solutions toSchrodinger's equation.
When radial symmetry is present in a system being solved using this technique, replacing the angularmomentum factor l times quantity l plus one with l plus one-half all to the one-half yields better results.
WKBJ approximation [or Wentzel-Kramers-Brillouin-Jeffreys approximation; accept in any order; or method in place of "approximation"; or LG method; or Liouville-Green method; prompt on semiclassical approximation; prompt on perturbation theory]