finite size scaling, quantum phase transitions, stability of atomic and molecular systems
Abstract:
We present the finite size scaling method for studying the critical behavior of a quantum Hamiltonian H(l1,...,lk) as a function of a set of parameters (lk}. In this context, critical means the values of (lk} for which a bound state energy is non-analytic. In this case, the finite size corresponds to the number of elements in a complete basis set used to expand the exact wave function of a given Hamiltonian.
