Finite size scaling in quantum mechanics

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Abstract

We present the finite size scaling method for studying the critical behavior of a quantum Hamiltonian ℋ (λ 1, ... , λ k) as a function of a set of parameters {λ i}. In this context, critical means the values of {λ i} 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.

Original languageEnglish
Title of host publication2002 International Conference on Computational Nanoscience and Nanotechnology - ICCN 2002
EditorsM. Laudon, B. Romanowicz
Pages474-477
Number of pages4
Publication statusPublished - 1 Dec 2002
Event2002 International Conference on Computational Nanoscience and Nanotechnology - ICCN 2002 - San Juan, Puerto Rico
Duration: 21 Apr 200225 Apr 2002

Publication series

Name2002 International Conference on Computational Nanoscience and Nanotechnology - ICCN 2002

Other

Other2002 International Conference on Computational Nanoscience and Nanotechnology - ICCN 2002
CountryPuerto Rico
CitySan Juan
Period21/4/0225/4/02

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Keywords

  • Finite size scaling
  • Quantum phase transitions
  • Stability of atomic and molecular systems

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Kais, S. (2002). Finite size scaling in quantum mechanics. In M. Laudon, & B. Romanowicz (Eds.), 2002 International Conference on Computational Nanoscience and Nanotechnology - ICCN 2002 (pp. 474-477). (2002 International Conference on Computational Nanoscience and Nanotechnology - ICCN 2002).