{'fraction_non_alphanumeric': 0.019345238095238096, 'fraction_numerical': 0.0, 'mean_word_length': 5.598039215686274, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Nonadiabatic scattering of a classical particle in an inhomogeneous magnetic field

We study the violation of the adiabaticity of the electron dynamics in a slowly varying magnetic field. We formulate and solve exactly a nonadiabatic scattering problem. In particular, we consider scattering on a magnetic field inhomogeneity that models scatterers in the composite-fermion theory of the half-filled Landau level. The calculated nonadiabatic shift of the guiding center is exponentially small and exhibits an oscillatory behavior related to the ``self-commensurability'' of the drifting cyclotron orbit. The analytical results are complemented with a numerical simulation.