Identification of matrix conditions that give rise to the linear coupling resonances

Gardner,C.J.

关键词: COUPLING;    MOTION;    AMPLITUDES;    HAMILTONIANS;    MATRIX ELEMENTS;    RESONANCE;   

DOI  :  10.2172/957466
RP-ID  :  BNL--82281-2009-IR
PID  :  OSTI ID: 957466
Others  :  Other: KB0202011
Others  :  TRN: US201002%%225

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来源: SciTech Connect

【 摘 要 】

General definitions of horizontal and vertical amplitudes for linear coupled motion are developed from the normal form of the one-turn matrix. This leads to the identification of conditions on the matrix that give rise to the linear coupling sum and difference resonances. The correspondence with the standard hamiltonian treatment of the resonances is discussed.