Semiclassical analysis of constrained quantum systems

被引：15

作者：

Dell'Antonio, GF

Tenuta, L

机构：

[1] Univ Roma La Sapienza, Dept Math, I-00185 Rome, Italy

[2] Scuola Int Super Studi Avanzati, SISSA, ISAS, I-34014 Trieste, Italy

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2004年 / 37卷 / 21期

关键词：

D O I：

10.1088/0305-4470/37/21/007

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the dynamics of a quantum particle in Rn+m constrained by a strong potential force to stay within a distance of order h (in suitable units) from a smooth n-dimensional submanifold M. We prove that in the semiclassical limit the evolution of the wavefunction is approximated in norm, up to terms of order h(1/2), by the evolution of a semiclassical wave packet centred on the trajectory of the corresponding classical constrained system.

引用

页码：5605 / 5624

页数：20

共 25 条

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Abraham R., 1978, Foundations of mechanics

[2]

[Anonymous], 1998, HOMOGENIZATION TIME

[3] THE SQUEEZED STATE APPROACH OF THE SEMICLASSICAL LIMIT OF THE TIME-DEPENDENT SCHRODINGER-EQUATION [J].