CANONICAL FORM OF THE EVOLUTION OPERATOR OF A TIME-DEPENDENT HAMILTONIAN IN THE THREE LEVEL SYSTEM

被引：0

作者：

Fujii, Kazuyuki ^{[1
]}

机构：

[1] Yokohama City Univ, Dept Math Sci, Yokohama, Kanagawa 2360027, Japan

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2011年 / 8卷 / 03期

关键词：

Evolution operator; three level system; flag manifold; Riccati equations; phase equations; canonical form; MATRIX;

D O I：

10.1142/S0219887811005312

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper we study the evolution operator of a time-dependent Hamiltonian in the three level system. The evolution operator is based on SU(3) and its dimension is eight, so we obtain three complex Riccati differential equations interacting with one another (which have been obtained by Fujii and Oike) and two real phase equations. This is a canonical form of the evolution operator.

引用

页码：647 / 655

页数：9

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