ECE 595E Lecture 10: Solving Quantum Wavefunctions

By Peter Bermel

Electrical and Computer Engineering, Purdue University, West Lafayette, IN

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Abstract

Outline:

  • Recap from Monday
  • Schrodinger’s equation
  • Infinite & Finite Quantum Wells
  • Kronig-Penney model
  • Numerical solutions:
    • Real space
    • Fourier space

Cite this work

Researchers should cite this work as follows:

  • Peter Bermel (2013), "ECE 595E Lecture 10: Solving Quantum Wavefunctions," https://nanohub.org/resources/16653.

    BibTex | EndNote

Time

Location

EE 226, Purdue University, West Lafayette, IN

Tags

  1. course lecture
  2. kronig-penney
  3. Programming
  4. quantum wells
  5. Schrodinger’s equation
  6. Simulation
  7. wave equation
ECE 595E Lecture 10: Solving Quantum Wavefunctions
  • Lecture 10: Solving Quantum Wavefunctions 1. Lecture 10: Solving Quantum Wa… 0
    00:00/00:00
  • Outline 2. Outline 439.77310643977313
    00:00/00:00
  • Recap from Monday 3. Recap from Monday 487.32065398732067
    00:00/00:00
  • Schrodinger's Equation 4. Schrodinger's Equation 595.86252919586252
    00:00/00:00
  • Free Particle 5. Free Particle 1000.4671338004672
    00:00/00:00
  • Infinite Quantum Well 6. Infinite Quantum Well 1369.3693693693695
    00:00/00:00
  • Finite Quantum Well 7. Finite Quantum Well 1689.6563229896565
    00:00/00:00
  • Kronig-Penney Potential 8. Kronig-Penney Potential 1810.6773440106774
    00:00/00:00
  • Bloch Theorem 9. Bloch Theorem 1934.7347347347347
    00:00/00:00
  • Bloch Theorem 10. Bloch Theorem 2000
    00:00/00:00
  • Bloch Theorem: Numerical Solution 11. Bloch Theorem: Numerical Solut… 2151.8184851518185
    00:00/00:00
  • Bloch Theorem: Real-Space Basis 12. Bloch Theorem: Real-Space Basi… 2240.1735068401736
    00:00/00:00
  • Bloch Theorem: Real-Space Basis 13. Bloch Theorem: Real-Space Basi… 2377.1771771771773
    00:00/00:00
  • Bloch Theorem: Fourier Space Basis 14. Bloch Theorem: Fourier Space B… 2719.7530864197533
    00:00/00:00
  • Bloch Theorem: Fourier Space Basis 15. Bloch Theorem: Fourier Space B… 2848.9489489489492
    00:00/00:00
  • Physical Observation 16. Physical Observation 2976.6766766766768
    00:00/00:00
  • Next Class 17. Next Class 3022.4891558224895
    00:00/00:00
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