Exponentially accurate error estimates of quasiclassical eigenvalues
نویسندگان
چکیده
منابع مشابه
Semiclassical Dynamics with Exponentially Small Error Estimates
We construct approximate solutions to the time–dependent Schrödinger equation i h̄ ∂ψ ∂t = − h̄ 2 2 ∆ψ + V ψ for small values of h̄. If V satisfies appropriate analyticity and growth hypotheses and |t| ≤ T , these solutions agree with exact solutions up to errors whose norms are bounded by C exp {− γ/h̄ } , for some C and γ > 0. Under more restrictive hypotheses, we prove that for sufficiently smal...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 2001
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/34/6/310