This book presents, for the first time, a unified treatment of the quantum mechanisms of magnetic resonance, including both nuclear magnetic resonance (NMR) and electron spin resonance (ESR). Magnetic resonance is perhaps the most advanced type of spectroscopy and it is applied in biology, chemistry, physics, material science, and medicine. If applied in conjunction with spectroscopy, the imaging version of magnetic resonance has no counterpart in any type of experimental technique.

The authors present explanations and applications from fundamental to advanced levels. Additionally, they pave the way to successfully simulating magnetic resonance phenomena numerically through accompanying software.

Key Features

  • The authors present explanations and applications from fundamental to advanced levels
  • This groundbreaking volume is accompanied by software which simulates magnetic resonance phenomena


Students and scientists working with spectroscopy and imaging in physics, chemistry, material science, and medicine in academia and industry.

Table of Contents

Table of Contents Preface Notation List of Graphical Symbols 1 Motivation Spin Physics 2 A Quick Tour 2.1 Classes and Objects in Hilbert Space 2.1.1 The Class of Hilbert States 2.1.2 The Class of Spin Operators 2.1.3 The Class of Propagators 2.2 Classes and Objects in Liouville Space 2.2.1 The Class of Liouville States 2.2.2 The Class of Spin Superoperators 2.2.3 The Class of Superpropagators 3 The Objects in Hilbert Space 3.1 The Discrete Hilbert Space of Spin States 3.1.1 Zeeman States 3.1.2 Hilbert State Vectors 3.2 Operators I: Operators and Representations 3.2.1 The Two-Level System 3.2.2 The Three-Level System 3.2.3 The Multi-Level System 3.3 Operators II: Sets of Independent Operators 3.3.1 The Two-Level System 3.3.2 The Three-Level System 3.3.3 The Multi-Level System 3.4 Operators III: Rotations of Operators 3.4.1 Spin Operator Rotations 3.4.2 Tensor Operator Rotations 3.5 Operators IV: Density Operator and Density Matrix 3.5.1 Ensembles of Spin-1/2 Particles 3.5.2 Ensembles of Spin-I Particles 3.6 Operators V: Basis Changes 3.6.1 The Two-Level System 3.6.2 The Multi-Level System 3.7 Operators VI: Spin Hamiltonians 3.7.1 The Zeeman Hamiltonian 3.7.2 The Quadrupole Hamiltonian 3.8 Operators VII: Composite Spin Systems 3.8.1 Spin Operators of Two Spins I = 1/2 3.8.2 The Tensor Operators of Two Spins I = 1/2 3.8.3 The Density Operator of Two Spins I = 1/2 3.8.4 Interaction Hamiltonians of Two Spins I= 1/2 4 The Dynamics in Hubert Space 4.1 The Time Evolution 4.1.1 Object Dynamics in the Schrödinger Representation 4.1.2 Object Dynamics i


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© 2001
Academic Press
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About the authors

Volker Weberruss

Volker Achim Weberruß is a freelance physicist, producer of scientific book software, and the author of several scientific books.

Michael Mehring

Michael Mehring is the director of the Physikalische Institut at the Universität Stuttgart, Germany.