Quantum critical phenomena in the Schrödinger formulation: Mapping to classical lattices

Ricardo A. Sauerwein, Sabre Kais

Research output: Contribution to journalArticle

3 Citations (Scopus)


We present a path integral formalism to obtain the statistical mechanics transfer matrix of the system which leads to a straightforward mapping between the quantum problem and an effective classical lattice system. Thus, the quantum criticality of atomic and molecular systems can be studied by the standard statistical mechanics methods. We illustrate this general technique by presenting detailed calculations for the screened Coulomb potential.

Original languageEnglish
Pages (from-to)451-458
Number of pages8
JournalChemical Physics Letters
Issue number6
Publication statusPublished - 26 Jan 2001


ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Physical and Theoretical Chemistry

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