Nanotech 2002 Vol. 2
Nanotech 2002 Vol. 2
Technical Proceedings of the 2002 International Conference on Computational Nanoscience and Nanotechnology

Materials and Nanostructures Studies Chapter 16

Finite Size Scaling in Quantum Mechanics

Authors: S. Kais

Affilation: Purdue University, United States

Pages: 474 - 477

Keywords: 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.

Finite Size Scaling in Quantum Mechanics

ISBN: 0-9708275-6-3
Pages: 504