Semiclassical WKB Problem for the non-self-adjoint Dirac operator with an analytic rapidly oscillating potential
DOI10.1016/J.JDE.2023.02.019zbMath1512.35533arXiv2204.07089MaRDI QIDQ6396535
Setsuro Fujiié, Nicholas Hatzizisis, Spyridon Kamvissis
Publication date: 14 April 2022
Asymptotic behavior of solutions to PDEs (35B40) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Time-dependent Schrödinger equations and Dirac equations (35Q41)
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