Frequency Specturm and fourier transform

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SUMMARY

The discussion centers on the recommendation of concise resources for understanding the Fourier transform (FT) in the context of wave trains. The book "Math Methods for Physicists" (2nd ed.) by Arfken provides a succinct summary of Fourier transforms and includes an example on finite wave trains within 10 pages. Additionally, "Quantum Mechanics" (2nd ed.) by Merzbacher introduces the FT of wave packets in just 3 pages, specifically on page 17. These resources are ideal for those seeking brief yet informative material on the subject.

PREREQUISITES
  • Understanding of Fourier transforms (FT)
  • Basic knowledge of wave trains and wave packets
  • Familiarity with quantum mechanics concepts
  • Mathematical methods relevant to physics
NEXT STEPS
  • Read "Math Methods for Physicists" (2nd ed.) by Arfken for a concise overview of Fourier transforms
  • Study "Quantum Mechanics" (2nd ed.) by Merzbacher for insights on Fourier transforms of wave packets
  • Explore additional resources on wave trains and their mathematical representations
  • Investigate applications of Fourier transforms in signal processing and physics
USEFUL FOR

Students and professionals in physics, particularly those focusing on wave phenomena, quantum mechanics, and mathematical methods in science.

zwoodrow
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Can someone recommend a good book or notes detailing the use of the Fourier transform with wave trains. Something short and sweet hopefully. thanks
 
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In the future, please post these kinds of questions in the Science Book forum under Academic Guidance.

Arfken, Math Methods for Physicists (2nd ed.), summarizes Fourier transforms (FT's) and works an example on finite wave trains in just 10 pages. Books on quantum mechanics also treat this subject (assuming you already know something about the FT). Merzbacher, QM, 2nd ed., introduces the FT of wave packets in 3 pages (p. 17). You decide how sweet, but you can't get much shorter.
 

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