Phys. Rev. E 79, 026407 (2009) [7 pages]
Dressed-particle approach in the nonrelativistic classical limit
Abstract
References (43)
Citing Articles
I. Y. Dodin and N. J. FischDepartment of Astrophysical Sciences, Princeton University, Princeton, New Jersey 08544, USA
Received 28 October 2008; published 26 February 2009
For a nonrelativistic classical particle undergoing arbitrary oscillations in external fields, the generalized effective potential  is derived through calculating the nonlinear eigenfrequencies of the particle-field system. Specifically, the ponderomotive potential is extended to a nonlinear oscillator, resulting in multiple branches near the primary resonance. For a pair of particle natural frequencies in a beat resonance, scales linearly with the internal actions and is analogous to the dipole potential for a two-level quantum system. Thus cold quantum particles and highly excited quasiclassical objects permit uniform manipulation tools, particularly, one-way walls.
©2009 The American Physical Society
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