The Mourre estimate in the semiclassical limit

DOI10.1007/BF00417228zbMath0708.35072OpenAlexW2073968260MaRDI QIDQ920300

Gian Michele Graf

Publication date: 1990

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00417228

zbMATH Keywords

Poisson bracketresonancesemi-classical limitMourre estimatenontrapping

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Schrödinger operator, Schrödinger equation (35J10) (2)-body potential quantum scattering theory (81U05)

Related Items (3)

Semiclassical resolvent estimates for the barrier top energy ⋮ On pointwise decay of linear waves on a Schwarzschild black hole background ⋮ On pointwise decay of waves

Cites Work

• On the location of resonances for Schrödinger operators in the semiclassical limit. I: Resonances free domains
• The shape resonance
• On the absence of resonances for Schrödinger operators with non- trapping potentials in the classical limit
• Sharp exponential bounds on resonances states and width of resonances
• A note on the absence of resonances for Schrödinger operators
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