Reduced Equations of Motion for Generalized Fluxes and Forces in the Continued-Fraction Expansion | Zendy

K. Nagano | Zendy; Takashi Karasudani | Zendy; H. Okamoto | Zendy; Hatsumi Mori | Zendy

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Reduced Equations of Motion for Generalized Fluxes and Forces in the Continued-Fraction Expansion

Author(s) -

K. Nagano,

Takashi Karasudani,

H. Okamoto,

Hatsumi Mori

Publication year - 1980

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.63.1904

Subject(s) - physics , equations of motion , fraction (chemistry) , motion (physics) , classical mechanics , mathematical physics , mechanics , chemistry , organic chemistry

With the aid of Mori's projection operator method, it is shown that the mechanical equations of motion for flux variables can be transformed rigorously into the reduced form da, (t) / dt=iliJr a1 (t)- J: ds [,P1 (t-s) + ¢1 (t-s)] · a1 (s) + g1 (t) + jj(t), where a, (t) is a column matrix of generalized fluxes standing for the j·th order time derivative of the column matrix of state variables a, (t),

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