Finite size scaling in quantum mechanics

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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
Externally publishedYes
Event2002 International Conference on Computational Nanoscience and Nanotechnology - ICCN 2002 - San Juan, Puerto Rico
Duration: 21 Apr 200225 Apr 2002

Other

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

Fingerprint

Hamiltonians
Quantum theory
Wave functions
Electron energy levels

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)

Finite size scaling in quantum mechanics. / Kais, Sabre.

2002 International Conference on Computational Nanoscience and Nanotechnology - ICCN 2002. ed. / M. Laudon; B. Romanowicz. 2002. p. 474-477.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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, San Juan, Puerto Rico, 21/4/02.
Kais S. Finite size scaling in quantum mechanics. In Laudon M, Romanowicz B, editors, 2002 International Conference on Computational Nanoscience and Nanotechnology - ICCN 2002. 2002. p. 474-477
Kais, Sabre. / Finite size scaling in quantum mechanics. 2002 International Conference on Computational Nanoscience and Nanotechnology - ICCN 2002. editor / M. Laudon ; B. Romanowicz. 2002. pp. 474-477
@inproceedings{5d6bff8ce47f4024b26b0bd77361e3c5,
title = "Finite size scaling in quantum mechanics",
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.",
keywords = "Finite size scaling, Quantum phase transitions, Stability of atomic and molecular systems",
author = "Sabre Kais",
year = "2002",
month = "12",
day = "1",
language = "English",
isbn = "0970827563",
pages = "474--477",
editor = "M. Laudon and B. Romanowicz",
booktitle = "2002 International Conference on Computational Nanoscience and Nanotechnology - ICCN 2002",

}

TY - GEN

T1 - Finite size scaling in quantum mechanics

AU - Kais, Sabre

PY - 2002/12/1

Y1 - 2002/12/1

N2 - 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.

AB - 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.

KW - Finite size scaling

KW - Quantum phase transitions

KW - Stability of atomic and molecular systems

UR - http://www.scopus.com/inward/record.url?scp=6344246156&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=6344246156&partnerID=8YFLogxK

M3 - Conference contribution

SN - 0970827563

SN - 9780970827562

SP - 474

EP - 477

BT - 2002 International Conference on Computational Nanoscience and Nanotechnology - ICCN 2002

A2 - Laudon, M.

A2 - Romanowicz, B.

ER -