TY - JOUR
T1 - Sub-resonant distortion of phase space tori
AU - Weeks, David E.
AU - Levine, Raphael D.
PY - 1992/7/6
Y1 - 1992/7/6
N2 - For realistic Hamiltonians expressed as the sum of a solvable Hamiltonian, it is necessary to perform a finite canonical transformation to isolate higher-order resonances. It is shown that the essential role of this transformation is to eliminate sub-resonant coupling terms in a Fourier series expansion of the perturbation. In terms of zero-order action variables, the transformation leads to large amplitude high frequency energy exchange between modes and a finite deformation of phase space tori. Explicit results are presented for two coupled Morse oscillators.
AB - For realistic Hamiltonians expressed as the sum of a solvable Hamiltonian, it is necessary to perform a finite canonical transformation to isolate higher-order resonances. It is shown that the essential role of this transformation is to eliminate sub-resonant coupling terms in a Fourier series expansion of the perturbation. In terms of zero-order action variables, the transformation leads to large amplitude high frequency energy exchange between modes and a finite deformation of phase space tori. Explicit results are presented for two coupled Morse oscillators.
UR - http://www.scopus.com/inward/record.url?scp=44049116821&partnerID=8YFLogxK
U2 - 10.1016/0375-9601(92)90622-S
DO - 10.1016/0375-9601(92)90622-S
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AN - SCOPUS:44049116821
SN - 0375-9601
VL - 167
SP - 32
EP - 36
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 1
ER -