The semiclassical limit of eigenfunctions of the Schrödinger equation and the Bohr-Sommerfeld quantization condition, revisited

Details The semiclassical limit of eigenfunctions of the Schrödinger equation and the Bohr-Sommerfeld quantization condition, revisited The semiclassical limit of eigenfunctions of the Schrödinger equation and the Bohr-Sommerfeld quantization condition, revisited

2010-09-07

arxiv.org/abs/1009.1378v1

Mathematics

Spectral Theory

Scientific paper

Consider the semiclassical limit, as the Planck constant $\hbar\ri 0$, of
bound states of a quantum particle in a one-dimensional potential well. We
justify the semiclassical asymptotics of eigenfunctions and recover the
Bohr-Sommerfeld quantization condition.

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