Phys. Rev. A 66, 022503 (2002) [8 pages]Kummer variety, geometry of N-representability, and phase transitionsReceived 29 January 2002; published 12 August 2002 For a system of N indistinguishable fermions or bosons, we give a parametrization of the surface of a convex set of N-representable second-order density matrices, a polynomial equation for the exact energy levels, and an explanation of quantum phase transitions. We display the crucial role played by the Kummer variety as a graph of the 2-matrices for pure discrete states of an N-body system in quantum mechanics. © 2002 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.66.022503
DOI:
10.1103/PhysRevA.66.022503
PACS:
31.15.Ew
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