Dynamical diffraction in sinusoidal potentials: uniform approximations for Mathieu functions

DOI10.1088/0305-4470/34/18/316zbMath0998.81025arXivquant-ph/0011105OpenAlexW3098373884MaRDI QIDQ4552339

D. H. J. O'Dell

Publication date: 1 September 2002

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0011105

zbMATH Keywords

Bloch wavesdouble-well potentialshort wavelength limitdiffraction of atoms by gratingsRaman-Nath (RN) equationsemiclassical scattering of waves

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Quantum optics (81V80) PDEs in connection with quantum mechanics (35Q40) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items (3)

Self-rotating wave approximation via symmetric ordering of ladder operators ⋮ On the phase-space catastrophes in dynamics of the quantum particle in an optical lattice potential ⋮ Explicit formulas for generalized harmonic perturbations of the infinite quantum well with an application to Mathieu equations

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