Quantum critical phenomena in the Schrödinger formulation

Mapping to classical lattices

Ricardo A. Sauerwein, Sabre Kais

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

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
Volume333
Issue number6
DOIs
Publication statusPublished - 26 Jan 2001
Externally publishedYes

Fingerprint

Statistical mechanics
statistical mechanics
formulations
Coulomb potential
formalism

ASJC Scopus subject areas

  • Physical and Theoretical Chemistry
  • Spectroscopy
  • Atomic and Molecular Physics, and Optics

Cite this

Quantum critical phenomena in the Schrödinger formulation : Mapping to classical lattices. / Sauerwein, Ricardo A.; Kais, Sabre.

In: Chemical Physics Letters, Vol. 333, No. 6, 26.01.2001, p. 451-458.

Research output: Contribution to journalArticle

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