Skip to main content

Abstract

In 1925, quantum mechanics was put on solid ground when Erwin Schrödinger discovered the equation that is named after him today. It was then clear that the analytical expression of the wave associated to a quantum particle, with mass m, could be calculated by solving the Schrödinger equation. This chapter provides a fast and traditional introduction to non-relativistic quantum mechanics.

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

Access this chapter

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 69.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 89.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Bibliography

  1. D.J. Griffiths, Introduction to Quantum Mechanics (Prentice Hall, USA, 1995)

    MATH  Google Scholar 

  2. D. Bohm, Quantum Theory, 11th edn. (Prentice -Hall, USA, 1964)

    Google Scholar 

  3. A.S. Davydov, Quantum Mechanics (Pergamon Press, USA, 1965)

    Google Scholar 

  4. Schrödinger equation (Wikipedia), https://en.wikipedia.org/wiki/Schr%C3%B6dinger_equation. Accessed 10 April 2023

  5. Wavefunctions (Wikipedia), https://en.wikipedia.org/wiki/Wave_function#:~:text=A%20wave%20function%20in%20quantum%20physics%20is%20a,on%20the%20system%20can%20be%20derived%20from%20it. Accessed 10 April 2023

  6. Interpretations (Wikipedia), https://en.wikipedia.org/wiki/Interpretations_of_quantum_mechanics. Accessed 10 April 2023

  7. Pilot wave theory (Wikipedia), https://en.wikipedia.org/wiki/Pilot_wave_theory. Accessed 10 April 2023

  8. Quantum mechanical operators (Wikipedia), https://en.wikibooks.org/wiki/Quantum_Mechanics/Operators_and_Commutators. Accessed 10 April 2023

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Luis Grave de Peralta .

Rights and permissions

Reprints and permissions

Copyright information

© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Grave de Peralta, L., Fernández Lozada, M., Farooq, H., Eichman, G., Singh, A., Prime, G. (2023). The Wave Equation. In: Relativistic and Non-Relativistic Quantum Mechanics. Undergraduate Lecture Notes in Physics. Springer, Cham. https://doi.org/10.1007/978-3-031-37073-1_2

Download citation

Publish with us

Policies and ethics