Fourier Series for the Ground State of a Particle-in-a-Box.

• Oscillations and Waves 2023 (2 years) Treat the ground state of a quantum particle-in-a-box as a periodic function.

  • Set up the integrals for the Fourier series for this state.

  • Which terms will have the largest coefficients? Explain briefly.

  • Are there any coefficients that you know will be zero? Explain briefly.

  • Using the technology of your choice or by hand, calculate the four largest coefficients. With screen shots or otherwise, show your work.

  • Using the technology of your choice, plot the ground state and your approximation on the same axes.