Skip to main content
SpringerLink
Log in

Symmetries in Quantum Mechanics

  • Chapter
Quantum Mechanics

Abstract

Symmetries play a fundamental role in physics, and knowledge of their presence in certain problems often simplifies the solution considerably. We illustrate this with the help of three important examples.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
eBook
USD 24.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. For a full treatment see Vol. 3 of this series, Relativistic Quantum Mechanics (Springer, Berlin, Heidelberg, to be published).

    Google Scholar 

  2. See J.D. Jackson: Classical Electrodynamics, 2nd ed. (Wiley, New York 1985).

    MATH  Google Scholar 

  3. See Vol. 3 of this series, Relativistic Quantum Mechanics (Springer, Berlin, Heidelberg 1989).

    Google Scholar 

  4. Vol. 1 of this series, Quantum Mechanics I — An Introduction (Springer, Berlin, Heidelberg 1989).

    Google Scholar 

  5. See Vol. 1 of this series, Quantum Mechanics — An Introduction (Springer, Berlin, Heidelberg 1989).

    Google Scholar 

  6. See H. Goldstein: Classical Mechanics, 2nd ed. (Addison-Wesley, Reading 1980); W. Greiner: Theoretische Physik, Mechanik I (Harri Deutsch, Frankfurt 1989) Chap. 30.

    MATH  Google Scholar 

  7. From the Latin gradior, I walk; contragredient, walking in opposite directions; con-gredient, walking in the same direction

    Google Scholar 

  8. See W. Greiner: Theoretische Physik, Mechanik I (Harri Deutsch, Frankfurt 1989) Chap. 30 or H. Goldstein: Classical Mechanics, 2nd ed. (Addison-Wesley, Reading 1980)

    Google Scholar 

  9. Only proper rotations represent a continuously connected group. Improper rotations contain a reflection in space, which is a discrete transformation. Therefore all rotations including improper ones form a disconnected group.

    Google Scholar 

  10. See H. Goldstein: Classical Mechanics, 2nd ed. (Addison-Wesley, Reading 1980) or W. Greiner: Theoretische Physik, Mechanik I (Harri Deutsch, Frankfurt 1989)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institut für Theoretische Physik, Johann Wolfgang Goethe-Universität Frankfurt, Postfach 111932, D-60054, Frankfurt am Main, Germany

    Professor Dr. Walter Greiner

  2. Robert-Mayer-Strasse 8-10, D-60325, Frankfurt am Main, Germany

    Professor Dr. Walter Greiner

  3. Physics Department, Duke University, P. O. Box 90305, Durham, NC, 27708-0305, USA

    Professor Dr. Berndt Müller

Authors
  1. Professor Dr. Walter Greiner
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Professor Dr. Berndt Müller
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

Copyright information

© 1994 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Greiner, W., Müller, B. (1994). Symmetries in Quantum Mechanics. In: Quantum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-57976-9_1

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-57976-9_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-58080-5

  • Online ISBN: 978-3-642-57976-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation