Semi-classical states for non-self-adjoint Schrödinger operators
From MaRDI portal
Publication:1284084
DOI10.1007/s002200050521zbMath0921.47060arXivmath/9803129OpenAlexW2053274256MaRDI QIDQ1284084
Publication date: 30 March 1999
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9803129
spectrumsemi-classical limitapproximate semiclassical modesenergies far from the spectrumhigh energy limitJWKB methodnon-selfadjoint Schrödinger operators
Applications of operator theory in the physical sciences (47N50) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)
Related Items
Pseudomodes for non-self-adjoint Dirac operators, Isotropic hypoelliptic and trend to equilibrium for the Fokker-Planck equation with a high-degree potential, Spectral properties of the complex Airy operator on the half-line, Pseudospectra in non-Hermitian quantum mechanics, Root system of singular perturbations of the harmonic oscillator type operators, The norm of the non-self-adjoint harmonic oscillator semigroup, Semiclassical Analysis for the Kramers–Fokker–Planck Equation, Spectral projections and resolvent bounds for partially elliptic quadratic differential operators, Computing the Decay of a Simple Reversible Sub-Markov Semigroup, The semiclassical regime for ablation front models, Backward uniqueness results for some parabolic equations in an infinite rod, Non-Hermitian propagation of Hagedorn wavepackets, Diverging Eigenvalues in Domain Truncations of Schrödinger Operators with Complex Potentials, Pseudomodes for Biharmonic Operators with Complex Potentials, Almost sure Weyl law for quantized tori, Resolvent estimates for one-dimensional Schrödinger operators with complex potentials, Almost sure Weyl asymptotics for non-self-adjoint elliptic operators on compact manifolds, On the pseudospectrum of the harmonic oscillator with imaginary cubic potential, Almost sure Weyl law for a differential system in dimension 1, Spectral behaviour of a simple non-self-adjoint operator, A remark on a paper of E. B. Davies, Pseudo-modes for Schrödinger operators with complex potentials, Subelliptic resolvent estimates for non-self-adjoint semiclassical Schrödinger operators, Semiclassical spectral instability for non-self-adjoint operators. I: A model, On the pseudospectrum of elliptic quadratic differential operators, Some remarks on quasi-Hermitian operators, Nonlinear instability in a semiclassical problem, Semiclassical spectral instability for non-self-adjoint operators. I: A model, Bound on the number of eigenvalues near the boundary of the pseudospectrum, Some remarks on a WKB method for the nonselfadjoint Zakharov-Shabat eigenvalue problem with analytic potentials and fast phase, Spectral instability of the semiclassical Zakharov-Shabat eigenvalue problem, Resolvent Estimates for Non-Selfadjoint Operators via Semigroups, Spectral properties of non-self-adjoint operators in the semi-classical regime, Perturbations of Gibbs semigroups and the non-selfadjoint harmonic oscillator, Semi-classical analysis of non-self-adjoint transfer matrices in statistical mechanics. I, Pseudo-spectrum for a class of semi-classical operators, On the Solvability Complexity Index, the 𝑛-pseudospectrum and approximations of spectra of operators, Local form-subordination condition and Riesz basisness of root systems, Pseudospectra of the Damped Wave Equation with Unbounded Damping, An Indefinite Convection-Diffusion Operator, Pseudospectra of semiclassical (pseudo-) differential operators, Pseudospectra of semiclassical boundary value problems, On the shape of resolvent modes in wall-bounded turbulence, Semi-classical analysis and pseudo-spectra
