SYMPLECTIC-MANIFOLDS, COHERENT STATES, AND SEMICLASSICAL APPROXIMATION

被引：12

作者：

RAJEEV, SG ^{[1
]}

RAMA, SK ^{[1
]}

SEN, S ^{[1
]}

机构：

[1] UNIV DUBLIN TRINITY COLL,SCH MATH,DUBLIN 2,IRELAND

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1994年 / 35卷 / 05期

关键词：

D O I：

10.1063/1.530550

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The symplectic structure and Hamiltonian dynamics for a class of Grassmannian manifolds are described here. Using the two-dimensional sphere (S2) and disc (D2) as illustrative cases, we write their path integral representations using coherent state techniques. These path integrals can be evaluated exactly by semiclassical methods, thus providing examples of the localization formula. Along the way, we also give a local coordinate description for a class of Grassmannians.

引用

页码：2259 / 2269

页数：11

共 15 条

[1]

ARNOLD VI, 1992, GRADUATE TEXTS MATH, V60

[2] PATH-INTEGRALS AND GEOMETRY OF TRAJECTORIES [J].