Finite element method for finite-size scaling in quantum mechanics

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Abstract

We combined the finite-size scaling method with the finite element method to provide a systematic procedure for obtaining quantum critical parameters for a quantum system. We present results for the Yukawa potential solved with the finite element approach. The finite-size scaling approach was then used to find the critical parameters of the system. The critical values λc, a, and v were found to be 0.83990345, 2.0002, and 1.002, respectively, for l = 0. These results compare well with the theoretically exact values for a and v and with the best numerical estimations for λc. The finite element method is general and can be extended to larger systems.

Original languageEnglish
Pages (from-to)5448-5452
Number of pages5
JournalJournal of Physical Chemistry A
Volume112
Issue number24
DOIs
Publication statusPublished - 19 Jun 2008

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ASJC Scopus subject areas

  • Physical and Theoretical Chemistry

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