An example of resonance instability

2020/05/20 by Bony, Jean-Francois, Fujiie, Setsuro, Ramond, Thierry +1
#35B34 #35B35 #35J10 #35P20 #37C25 #81Q20 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.2005.10035

Abstract

We construct a semiclassical Schrödinger operator such that the imaginary part of its resonances closest to the real axis changes by a term of size h when a real compactly supported potential of size o ( h ) is added.

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