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Deutsche Physikalische Gessellschaft IOP Institute of Physics

Interaction sensing in dynamic force microscopy

U Dürig

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A first-order perturbative theory of the motion of a harmonic oscillator interacting with a weak arbitrary force field is presented, as it pertains to dynamic force microscopy. In essence the theory corresponds to a Born approximation for the scattering of standing waves trapped in a perturbed parabolic potential. In particular, it is shown that the scattering amplitudes are related to corresponding moments, involving Chebyshev polynomials and associated metrics of the conservative interaction force, and of a generalized friction coefficient accounting for irreversible interactions. Implications for dynamic force microscopy are discussed.


PACS

03.65.Ge Solutions of wave equations: bound states

02.10.De Algebraic structures and number theory

03.65.Nk Scattering theory

02.10.Yn Matrix theory

07.79.Sp Friction force microscopes

Subjects

Mathematical physics

Instrumentation and measurement

Quantum information and quantum mechanics

Dates

Issue 1 (March 2000)

Received 17 January 2000

Published 14 March 2000



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