Finite size scaling in quantum mechanics

Pablo Serra, Juan Pablo Neirotti, Sabre Kais

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17 Citations (Scopus)


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
Issue number47
Publication statusPublished - 19 Nov 1998
Externally publishedYes


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.