In statistical mechanics, the finite size scaling method provides a systematic way to extrapolate information about criticality obtained from a finite system to the thermodynamic limit. For quantum systems, the finite size corresponds not to the spatial dimension but to the number of elements in a complete basis set used to expand the exact wave function of a given Hamiltonian. In this lecture I will discuss how finite size scaling works in quantum mechanics and how to calculate quantum critical parameters for stability of atomic, molecular and quantum dot systems.
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POTR 234 (Fu Room), Purdue University, West Lafayette, IN