Utility of su(1, 1)-Algebra in a Schematic Nuclear su(2)-Model | Zendy

H. Akaike | Zendy; Y. Tsue | Zendy; Constança Providência | Zendy; João da Providência | Zendy; A. Kuriyama | Zendy; M. Yamamura | Zendy

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Utility of su(1, 1)-Algebra in a Schematic Nuclear su(2)-Model

Author(s) -

H. Akaike,

Y. Tsue,

Constança Providência,

João da Providência,

A. Kuriyama,

M. Yamamura

Publication year - 2001

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.105.717

Subject(s) - dissipative system , physics , elliptic function , schematic , algebraic number , mathematical physics , motion (physics) , quantum , algebra over a field , pure mathematics , quantum mechanics , classical mechanics , mathematical analysis , mathematics , electronic engineering , engineering

The su(2)-algebraic model interacting with an environment is investigatedfrom a viewpoint of treating the dissipative system. By using thetime-dependent variational approach with a coherent state and with the help ofthe canonicity condition, the time-evolution of this quantum many-body systemis described in terms of the canonical equations of motion in the classicalmechanics. Then, it is shown that the su(1,1)-algebra plays an essential roleto deal with this model. An exact solution with appropriate initial conditionsis obtained by means of Jacobi's elliptic function. The implication to thedissipative process is discussed.Comment: 14 pages using PTPTeX.st

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