Quantum-classical correspondence for the kinetic energy

被引：0

作者：

Hamilton, I. P. ^{[1
]}

Mosna, Ricardo A. ^{[2
]}

Delle Site, L. ^{[3
]}

机构：

[1] Wilfrid Laurier Univ, Dept Chem, Waterloo, ON N2L 3C5, Canada

[2] Univ Estadual Campinas, Inst Matemat Estatist & Computacao Cientif, BR-13081970 Campinas, SP, Brazil

[3] Max Planck Inst Polymer Res, D-55021 Mainz, Germany

来源：

RECENT PROGRESS IN COMPUTATIONAL SCIENCES AND ENGINEERING, VOLS 7A AND 7B | 2006年 / 7A-B卷

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present and update a recently developed approach [1, 2] to the quantum-classical correspondence whereby the quantum kinetic energy can be decomposed as the sum of a classical-like kinetic energy and a purely quantum term (arising from the fluctuations that turn classical mechanics into quantum mechanics). We consider the relevance of this decomposition to the construction of kinetic-energy functionals.

引用

页码：1031 / +

页数：2

共 7 条

[1] Theory of statistical estimation. [J].

Fisher, RA .

PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1925, 22 :700-725

[2] Variational approach to dequantization [J].

Mosna, RA ;

Hamilton, IP ;

Delle Site, L .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2006, 39 (14) :L229-L235

[3] Quantum-classical correspondence via a deformed kinetic operator [J].

Mosna, RA ;

Hamilton, IP ;

Delle Site, L .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2005, 38 (17) :3869-3878

[4] DERIVATION OF SCHRODINGER EQUATION FROM NEWTONIAN MECHANICS [J].

NELSON, E .

PHYSICAL REVIEW, 1966, 150 (04) :1079-&

[5]

Nelson E., 1967, DYNAMICAL THEORIES B

[6]

Weizacker C. F., 1935, Z PHYS, V96, P431, DOI DOI 10.1007/BF01337700

[7]

WITTEN E, 1982, J DIFFER GEOM, V17, P661, DOI 10.4310/jdg/1214437492

← 1 →