Quantum Multipole Radiation

  1. Myron W. Evans
  1. Alexander S. Shumovsky

Published Online: 13 MAR 2002

DOI: 10.1002/0471231479.ch8

Modern Nonlinear Optics, Part I, Volume 119, Second Edition

Modern Nonlinear Optics, Part I, Volume 119, Second Edition

How to Cite

Shumovsky, A. S. (2001) Quantum Multipole Radiation, in Modern Nonlinear Optics, Part I, Volume 119, Second Edition (ed M. W. Evans), John Wiley & Sons, Inc., New York, USA. doi: 10.1002/0471231479.ch8

Author Information

  1. Physics Department, Bilkent University, Bilkent, Ankara, Turkey

Publication History

  1. Published Online: 13 MAR 2002
  2. Published Print: 28 SEP 2001

Book Series:

  1. Advances in Chemical Physics

Book Series Editors:

  1. I. Prigogine2,3 and
  2. Stuart A. Rice4

Series Editor Information

  1. 2

    Center for Studies in Statistical Mechanics and Complex Systems, The University of Texas, Austin, Texas, USA

  2. 3

    International Solvay Institutes, Université Libre de Bruxelles, Brussels, Belgium

  3. 4

    Department of Chemistry and The James Franck Institute, The University of Chicago, Chicago, Illinois, USA

ISBN Information

Print ISBN: 9780471389309

Online ISBN: 9780471231479



  • quantum multipole field;
  • atom–field interaction;
  • multipole radiation;
  • polarization measurement;
  • photon localization;
  • causality


The author reviews investigations of the photon localization and quantum phase problems based on the use of the representation of multipole photons. Section II presents a general consideration of the field quantization, including a comparison of zero-point oscillations of the plane and multipole waves of photons. Section III discusses the atom-field interaction leading to the multipole radiation. The SU(2) quantum phase representation of atomic variables is considered, as is a connection between the SU(2) quantum phase states and entanglement phenomenon. In Section IV the author describes the quantum phase of multipole radiation caused by the angular momentum conservation in the process of radiation. This approach is compared with the Pegg–Barnett formalism and with Mandel's operational approach. Section V covers the quantum polarization properties of multipole radiation. Photon localization, quantum measurements, and causality are considered in Section VI.