One application of this method can be used to separate the higher and lower angular momentum to compute the instanton background in QCD, and this method was used by Lin and Toomre to analyze tightly-wound density waves in spiral galaxies.
One application of this method can be used to separate the higher and lower angular momentum to compute the instanton background in QCD, and this method was used by Lin and Toomre to analyze tightly-wound density waves in spiral galaxies. The Langer correction is sometimes applied when its used in a spherically symmetric system, while applications in wave propagation may lead to the eikonal equation. Applying this formalism to a system with two boundaries gives rise to the Bohr-Sommerfeld theory, while a more famous application of it gives rise to connection formulae in terms of Airy functions. It relies on an initial expansion based on powers of Planck's constant, which tends to break down around turning points, then applying an asymptotic matching between the evanescent and oscillatory solutions around those points. For 10 points, name this method that is used to find solutions of Schrodinger's equation, in which the amplitude of the wavefunction is taken to be more slowly varying than the phase, named for three scientists.
One application of this method can be used to separate the higher and lower angular momentum to compute the instanton background in QCD, and this method was used by Lin and Toomre to analyze tightly-wound density waves in spiral galaxies.
J{WKB} approximation (Jeffrys-{Wentzel-Kramers-Brillouin}, in any order, but you need the last 3)