Quantum-Classical Analogies

  • Daniela Dragoman
  • Mircea Dragoman

Part of the The Frontiers Collection book series (FRONTCOLL)

Table of contents

  1. Front Matter
    Pages I-X
  2. Daniela Dragoman, Mircea Dragoman
    Pages 1-7
  3. Daniela Dragoman, Mircea Dragoman
    Pages 9-62
  4. Daniela Dragoman, Mircea Dragoman
    Pages 63-102
  5. Daniela Dragoman, Mircea Dragoman
    Pages 103-118
  6. Daniela Dragoman, Mircea Dragoman
    Pages 119-141
  7. Daniela Dragoman, Mircea Dragoman
    Pages 143-186
  8. Daniela Dragoman, Mircea Dragoman
    Pages 187-210
  9. Daniela Dragoman, Mircea Dragoman
    Pages 211-245
  10. Daniela Dragoman, Mircea Dragoman
    Pages 247-278
  11. Daniela Dragoman, Mircea Dragoman
    Pages 279-318
  12. Back Matter
    Pages 319-347

About this book


This is the first book on the subject of quantum-classical analogies. Although quantum and classical physics are founded on very different principles, similarities between quantum and classical phenomena are not uncommon. This fact was considered by physicists as a mere curiosity until, quite recently, it became clear that such analogies between quantum and classical physics can be exploited in theoretical as well as experimental work in emerging research areas such as quantum computing, nano-devices or unconventional light forms (localized light, frozen light). The analogies described in this book include the well-known mathematical similarity between the Schrödinger equation and the Helmholtz equation (and its application in nanodevice design), the similarities between quantum multi-level systems and their optical counterparts, the optical analogue of the uncertainty relation, and the optical implementations of quantum computing algorithms. Acoustic analogies to quantum phenomena are also mentioned. Last but not least, the book describes the mathematical analogies between classical and quantum phase space physics.

In sum, these analogies can help to deepen our understanding of quantum mechanical principles, many of which are still hotly debated a century after the foundations of quantum mechanics were laid.


Nanodevices Quantum optics algorithms electromagnetic wave mechanics quantum computer quantum computing quantum mechanics quantum system

Authors and affiliations

  • Daniela Dragoman
    • 1
  • Mircea Dragoman
    • 2
  1. 1.Physics FacultyUniversity of BucharestBucharestRomania
  2. 2.National Research and Development Institute in MicrotechnologyBucharestRomania

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2004
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-05766-3
  • Online ISBN 978-3-662-09647-5
  • Series Print ISSN 1612-3018
  • Buy this book on publisher's site
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