Finite size scaling in quantum mechanics

Pablo Serra, Juan Pablo Neirotti, Sabre Kais

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

The finite size scaling ansatz is combined with the variational method to extract information about critical behavior of quantum Hamiltonians. This approach is based on taking the number of elements in a complete basis set as the size of the system. As in statistical mechanics, the finite size scaling can then be used directly in the Schrödinger equation. This approach is general and gives very accurate results for the critical parameters, for which the bound-state energy becomes absorbed or degenerate with a continuum. To illustrate the applications in quantum calculations, we present detailed calculations for both short- and long-range potentials.

Original languageEnglish
Pages (from-to)9518-9522
Number of pages5
JournalJournal of Physical Chemistry A
Volume102
Issue number47
Publication statusPublished - 19 Nov 1998
Externally publishedYes

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Quantum theory
Mechanics
quantum mechanics
scaling
Hamiltonians
Statistical mechanics
Electron energy levels
statistical mechanics
continuums
energy

ASJC Scopus subject areas

  • Physical and Theoretical Chemistry

Cite this

Serra, P., Neirotti, J. P., & Kais, S. (1998). Finite size scaling in quantum mechanics. Journal of Physical Chemistry A, 102(47), 9518-9522.

Finite size scaling in quantum mechanics. / Serra, Pablo; Neirotti, Juan Pablo; Kais, Sabre.

In: Journal of Physical Chemistry A, Vol. 102, No. 47, 19.11.1998, p. 9518-9522.

Research output: Contribution to journalArticle

Serra, P, Neirotti, JP & Kais, S 1998, 'Finite size scaling in quantum mechanics', Journal of Physical Chemistry A, vol. 102, no. 47, pp. 9518-9522.
Serra P, Neirotti JP, Kais S. Finite size scaling in quantum mechanics. Journal of Physical Chemistry A. 1998 Nov 19;102(47):9518-9522.
Serra, Pablo ; Neirotti, Juan Pablo ; Kais, Sabre. / Finite size scaling in quantum mechanics. In: Journal of Physical Chemistry A. 1998 ; Vol. 102, No. 47. pp. 9518-9522.
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