### 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 language | English |
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Pages (from-to) | 451-458 |

Number of pages | 8 |

Journal | Chemical Physics Letters |

Volume | 333 |

Issue number | 6 |

DOIs | |

Publication status | Published - 26 Jan 2001 |

Externally published | Yes |

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### ASJC Scopus subject areas

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

### Cite this

*Chemical Physics Letters*,

*333*(6), 451-458. https://doi.org/10.1016/S0009-2614(00)01411-1

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

Research output: Contribution to journal › Article

*Chemical Physics Letters*, vol. 333, no. 6, pp. 451-458. https://doi.org/10.1016/S0009-2614(00)01411-1

}

TY - JOUR

T1 - Quantum critical phenomena in the Schrödinger formulation

T2 - Mapping to classical lattices

AU - Sauerwein, Ricardo A.

AU - Kais, Sabre

PY - 2001/1/26

Y1 - 2001/1/26

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0006978834&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0006978834&partnerID=8YFLogxK

U2 - 10.1016/S0009-2614(00)01411-1

DO - 10.1016/S0009-2614(00)01411-1

M3 - Article

VL - 333

SP - 451

EP - 458

JO - Chemical Physics Letters

JF - Chemical Physics Letters

SN - 0009-2614

IS - 6

ER -