A mathematical theory of planar particle channeling in crystals

DOI10.1016/S0167-2789(00)00154-8zbMath0976.82048MaRDI QIDQ5940299

François Golse, James A. Ellison, H. Scott Dumas

Publication date: 29 July 2001

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

averaging methodcharged particle motionsLindhard's planar continuum modelparticle channeling in crystalsquasiperiodic functions with truncated diophantine conditionsrelativistic perfect crystaltwo-phase averaging method

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25)

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Cites Work

• Multiphase averaging for classical systems. With applications to adiabatic theorems. Transl. from the French by H. S. Dumas
• A stochastic theory of adiabatic invariance
• Axial channeling in perfect crystals, the continuum model, and the method of averaging
• Dynamics of axial channeling in quasicrystals: An averaging-theory approach
• Higher-order averaging for nonperiodic systems
• On a weakened form of the averaging principle in multifrequency systems
• PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN
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