The quantum N-body problem

By W. Hunziker, I. Sigal. 2000

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Between classical and quantum (2005, background): “6Apart from seasoned classics such as Mackey (1963), Jauch (1968), Prugovecki (1971), Reed & Simon (1972), or Thirring (1981), the reader might consult more recent books such as Gustafson & Sigal (2003) or Williams (2003).”
Solutions of the Multiconfiguration Equations in Quantum Chemistry (2004, background): “The form of the spectrum of H is known (see for instance the review [14]): it is bounded from below, σess(H) = [Σ; +∞) where Σ 6 0, and each potential eigenvalue lies in (−∞; 0].”
From atoms to crystals: a mathematical journey (2005, background): “7), the minimization problem, however enjoying good mathematical properties since it consists of the minimization of a quadratic form (see [105] or [128] for a review), is untractable from the practical viewpoint again because of the dimension of the variational space.”