A Possible Extension of a Trial State in the TDHF Theory with a Canonical Form to the Lipkin Model: -- Canonicity Conditions and Dynamical Treatment of Classical and Quantal Variables in an Extended State of the su(2)-Coherent State -- | Zendy

Y. Tsue | Zendy; H. Akaike | Zendy

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A Possible Extension of a Trial State in the TDHF Theory with a Canonical Form to the Lipkin Model: -- Canonicity Conditions and Dynamical Treatment of Classical and Quantal Variables in an Extended State of the su(2)-Coherent State --

Author(s) -

Y. Tsue,

H. Akaike

Publication year - 2005

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.113.105

Subject(s) - extension (predicate logic) , physics , ground state , canonical form , motion (physics) , canonical ensemble , state (computer science) , mathematical physics , statistical physics , theoretical physics , quantum mechanics , classical mechanics , mathematics , pure mathematics , statistics , algorithm , computer science , monte carlo method , programming language

With the aim of the extension of the TDHF theory in the canonical form in theLipkin model, the trial state for the variation is constructed, which is anextension of the Slater determinant. The canonicity condition is imposed toformulate the variational approach in the canonical form. A possible solutionof the canonicity condition is given and the zero-point fluctuation induced bythe uncertainty principle is investigated. As an application, the ground stateenergy is evaluated.Comment: 15 pages, 1 figure, using PTPTeX styl

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