THE LOCALIZED VIBRATIONAL MODES OF SOLITON IN TRANS- (CH)_x

Starting from SSH model of trans-(CH)_x with finite length, all the localized vibrational modes of soliton have been figured out and the total number is found to be five. The first three coincide with those obtained in TLM model. Another two are new findings, the fourth is odd mode with three nodes and the fifth is a staggered mode with even parity.