Pseudospectra of semiclassical (pseudo‐) differential operators

163 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Diophantine tori and spectral asymptotics for nonselfadjoint operators (2005, unknown): “ar X iv :m Keywords and Phrases: Non-selfadjoint, eigenvalue, spectral asymptotics, Lagrangian torus, Diophantine condition, completely integrable, KAM Mathematics Subject Classification 2000: 35P15, 35P20, 37J35, 37J40, 53D22, 58J37, 58J40, 70H08”
From resolvent bounds to semigroup bounds (2010, background): “From these works as well as those of K. Pravda Starov [19] and Dencker-Sjöstrand-Zworski [7], we know that for fixed Re z as Im z → +∞, lim Im z→+∞ |”
Geometric control in the presence of a black box (2004, methodology): “projectors. Instead of using the FBI transform we follow [ 14, Section 4.2 ] and make the presentation essentially self-contained.”
Pseudospectra in non-Hermitian quantum mechanics (2014, methodology): “In this case, we have a symbol f̃(y, η) = η(2) + y(2) + 2ihy − h, and so we cannot directly apply the results of [29].”
On the Solvability Complexity Index, the n-pseudospectrum and approximations of spectra of operators (2011, background): “The growing interest in non-Hermitian quantum mechanics [8, 7, 36, 35], non-self-adjoint differential operators [23, 27] and in general non-normal phenomena [22, 49, 50, 48] has made non-selfadjoint operators and pseudospectral theory indispensable.”