U Dürig 2000 New J. Phys. 2 5 doi:10.1088/1367-2630/2/1/005
U Dürig
Show affiliationsA 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.
03.65.Ge Solutions of wave equations: bound states
Issue 1 (March 2000)
Received 17 January 2000
Published 14 March 2000
U Dürig 2000 New J. Phys. 2 5
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