Two helpful developments towards better understanding adiabatic invariance in classical mechanics
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Universidade Federal de Minas Gerais
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Artigo de periódico
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The topic of difficult understanding of adiabatic invariance in classical mechanics is dealt with in a more
understandable way. Using the one-dimensional harmonic oscillator as an example, the goals of this paper are
twofold. First, given a first-order parameter variation, the second-order magnitude of the correction to the adiabatic
invariant is established in simple terms. Second, the identification of the action variable with the invariant quantity
for slow variations of different parameters of the Hamiltonian is confirmed, by invoking the correct equation of
motion in the derivation.
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Mecânica clássica, Energia
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Adiabatic invariance, Classical mechanics, Graduate teaching
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https://www.scielo.br/j/rbef/a/3nsD9gRzC6zWpJRPMKqrMby/?format=pdf&lang=en