Newtonian Adiabatics Unified

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dc.creatorGoldhaber, Alfred Scharff
dc.date2005-02-21
dc.date2005-05-31
dc.date.accessioned2026-07-07T06:12:12Z
dc.date.available2026-07-07T06:12:12Z
dc.descriptionNewtonian adiabatics is the consistent truncation of the adiabatic approximation to second order in small velocities. To be complete it must unify two hitherto disjoint intellectual streams in the study of adiabatic motion. The newer stream focuses on Berry's induced vector potential, or geometric magnetism, and Provost and Vallee's induced scalar potential, reflecting geometry in Hilbert space. The older stream focuses on Inglis' induced inertia, influencing the geometry of adiabatic-parameter space. Starting with the Hamiltonian of the newer stream, unification is simple: A naive or primitive inertia, whose inverse appears in two terms of that Hamiltonian, is replaced by the convention-independent sum of primitive and induced inertia tensors.
dc.description6 pages. New footnote on essential fourth-order term in velocity for Darwin Lagrangian, plus cleanup of unclear points, plus added references. To appear in Phys. Rev. A
dc.identifierhttps://arxiv.org/abs/quant-ph/0502132
dc.identifierhttp://arxiv.org/abs/quant-ph/0502132
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/92716
dc.subjectQuantum Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleNewtonian Adiabatics Unified
dc.typetext

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