SYMMETRICAL-GROUP ALGEBRAIC VARIATIONAL SOLUTIONS FOR HEISENBERG MODELS AT FINITE TEMPERATURE
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abstract
The Heisenberg spin Hamiltonian for a collection of N spin1/2 sites is viewed, as favored by Professor Matsen, to be an element of the group algebra of the symmetric group N. Several computationally tractable, variational groupalgebraic approximations for the finitetemperature density matrix are made so as to minimize the Gibb's freeenergy functional. Relations to previous quite differently motivated approximations are identified, though improvements are noted with the present approach. Copyright 1992 John Wiley & Sons, Inc.