Not quite clear in application of fourier series

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SUMMARY

The discussion focuses on the application of Fourier series in solving the Schrödinger equation, specifically in the context of quantum mechanics. A user seeks clarification and examples of one-dimensional problems where Fourier series can be effectively utilized. The provided link to the Wikipedia article on "Particle in a box" serves as a foundational resource for understanding these concepts. This indicates a need for accessible examples to bridge the gap between theory and practical application.

PREREQUISITES
  • Understanding of quantum mechanics principles
  • Familiarity with the Schrödinger equation
  • Basic knowledge of Fourier series and their applications
  • Ability to interpret mathematical functions and wave functions
NEXT STEPS
  • Study the "Particle in a box" example on Wikipedia for practical applications of Fourier series
  • Explore one-dimensional potential wells and their solutions using Fourier series
  • Learn about the role of boundary conditions in Fourier series applications
  • Investigate other quantum mechanics problems solvable by Fourier series, such as the harmonic oscillator
USEFUL FOR

Students and professionals in physics, particularly those studying quantum mechanics, as well as educators seeking to illustrate the application of Fourier series in real-world scenarios.

cgw
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I am not quite clear on the use of Fourier series to solve the Schrödinger equation.
Can you point me to a source of some simple one dimensional examples?
 
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