© 2012

Density Matrix Theory and Applications


  • Deals with the basics and application of density matrix theory to atomic and molecular physics

  • Presents an elegant way to describe processes in atomic physics with a minimum amount of formulas

  • Comprehensive introduction to the theory Includes advanced applications of the theory in atomic and molecular physics


Part of the Springer Series on Atomic, Optical, and Plasma Physics book series (SSAOPP, volume 64)

Table of contents

  1. Front Matter
    Pages i-xviii
  2. Karl Blum
    Pages 1-34
  3. Karl Blum
    Pages 35-60
  4. Karl Blum
    Pages 61-113
  5. Karl Blum
    Pages 183-208
  6. Karl Blum
    Pages 275-312
  7. Back Matter
    Pages 313-343

About this book


Written in a clear pedagogic style, this book deals with the application of density matrix theory to atomic and molecular physics. The aim is to precisely characterize sates by a vector and to construct general formulas and proofs of general theorems. The basic concepts and quantum mechanical fundamentals (reduced density matrices, entanglement, quantum correlations) are discussed in a comprehensive way. The discussion leads up to applications like coherence and orientation effects in atoms and molecules, decoherence and relaxation processes.

This third edition has been updated and extended throughout and contains a completely new chapter exploring nonseparability and entanglement in two-particle spin-1/2 systems. The text discusses recent studies in atomic and molecular reactions. A new chapter explores nonseparability and entanglement in two-particle spin-1/2 systems.


angular momentum theory coupled systems density matrix theory nonseparability and entanglement in two-particle orientation and alignment in molecular processes. quantum beats quantum theory of relaxation radiation from polarized atoms scattering and transition operators spin-1/2 systems theoretical atomic physics

Authors and affiliations

  1. 1., Institut für Theoretische PhysikUniversität MünsterMünsterGermany

About the authors

Karl Blum is Professor ath the University of Münster, Germany.

Bibliographic information


From the reviews of the third edition:

“This book under review is of introductory nature being very useful and forming an effective foundation on the powerful density matrix formalism that was originally introduced by von Neumann to describe certain statistical concepts in the then (1927) fashionable quantum mechanics. … The author’s worthy efforts in bringing out the latest edition are quite commendable, as the work would definitely help much in the study and research in the atomic and molecular processes as well as interactions.” (Paninjukunnath Achuthan, Zentralblatt MATH, Vol. 1242, 2012)