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Non-relativistic current algebra in the N/V limit

Description: The case of a noninteracting infinite Bose gas at zero temperature is studied in the formalism of local current algebras, using the representation theory of nuclear Lie groups. The class of representations describing such a system is obtained by taking an N/V limit'' of the finite case. These representations can also be determined uniquely from the solutions of a functional differential equation, which follows in turn from a condition on the ground state vector. Finally a system of functional d… more
Date: December 18, 1973
Creator: Goldin, G. A.; Grodnik, J.; Powers, R. T. & Sharp, D. H.
Partner: UNT Libraries Government Documents Department
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Calculations of the ground state energy and exchange integrals of crystalline $sup 3$He

Description: Thesis. The variational equation is derived and discussed using Jastrowtype wave functions, which are a product of pair wave functions, as the trail wave function. The various approximations used in simplifying the variational equations so as to obtain a form that is possible to solve numerically are discussed also. A Monte Carlo calculation is described using the wave function obtained. Exchange in /sup 3/He is discussed. (MHR)
Date: July 1, 1973
Creator: Lim, W L
Partner: UNT Libraries Government Documents Department
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