MathDB2 problems
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Kac–Luttinger conjecture for ground-state condensation in the non-interacting KL model
Let the Kac–Luttinger model be the random continuum model with hard-ball impurities, and let the one-particle ground state be the lowest eigenfunction of the Dirichlet Laplacian on…
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Kac–Luttinger conjecture on macroscopic occupation of the one-particle ground state
Consider the Kac–Luttinger model of a non-interacting Bose gas in three dimensions, with impurities given by randomly distributed hard balls. A state is macroscopically occupied wh…