图书信息

量子系统中的几何相位

定　价：￥86.00

作　者：（美）博赫姆 等著

出 版 社：科学出版社

出版时间：2009-3-1开　本：16开

I S B N：9787030240088

内容简介

Aimed at graduate physics and chemistry students, this is the first comprechenslve monograph covering the concept of the

geometric phase in quantum physics from its mathematical foundations to its physical applications and experimental manifestations. It contains all the premises of the adiabatic Berry phase as well as the exact Anandan-Aharonov phase. It discusses quantum systems in a classical time-independent environment (time dependent Hamiltonians) and quantum systems in a changing environment (gauge theoryofmolecular physics). The mathematical methods used are a combination of differential geometry and the theory of Iinear operators in Hilbert Space. As a result, the monograph demonstrates how non-trivial gauge theories naturally arise and how the consequences can be experimentally observed. Readers benefit by gaining a deep understanding of the long-ignored gauge theoretic effects of quantum methanics and how to measure them.

目录

1 Introduction

2 Quantal Phase Factors for Adiabatic Changes

2.1 Introduction

2.2 Adiabatic Approximation

2.3 Berry's Adiabatic Phase

2.4 Topological Phases and the Aharonov-Bohm Effect

Problems

3 Spinning Quantum System in an External Magnetic Field

3.1 Introduction

3.2 The Parameterization of the Basis Vectors

3.3 Mead-Berry Connection and Berry Phase for Adiabatic Evolutions - Magnetic Monopole Potentials

3.4 The Exact Solution of the SchrSdinger Equation

3.5 Dynamical and Geometrical Phase Factors for Non-Adiabatic Evolution

Problems

4 Quantal Phases for General Cyclic Evolution