Quantum Physics - Quantum Mechanics Course

Quantum Physics - Quantum Mechanics Course

Academic Lesson via YouTube Direct link

) Scattering delta function potential

27 of 43

27 of 43

) Scattering delta function potential

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Classroom Contents

Quantum Physics - Quantum Mechanics Course

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  1. 1 ) Introduction to quantum mechanics
  2. 2 ) The domain of quantum mechanics
  3. 3 ) Key concepts of quantum mechanics
  4. 4 ) A review of complex numbers for QM
  5. 5 ) Examples of complex numbers
  6. 6 ) Probability in quantum mechanics
  7. 7 ) Variance of probability distribution
  8. 8 ) Normalization of wave function
  9. 9 ) Position, velocity and momentum from the wave function
  10. 10 ) Introduction to the uncertainty principle
  11. 11 ) Key concepts of QM - revisited
  12. 12 ) Separation of variables and Schrodinger equation
  13. 13 ) Stationary solutions to the Schrodinger equation
  14. 14 ) Superposition of stationary states
  15. 15 ) Potential function in the Schrodinger equation
  16. 16 ) Infinite square well (particle in a box)
  17. 17 ) Infinite square well states, orthogonality - Fourier series
  18. 18 ) Infinite square well example - computation and simulation
  19. 19 ) Quantum harmonic oscillators via ladder operators
  20. 20 ) Quantum harmonic oscillators via power series
  21. 21 ) Free particles and Schrodinger equation
  22. 22 ) Free particles wave packets and stationary states
  23. 23 ) Free particle wave packet example
  24. 24 ) The Dirac delta function
  25. 25 ) Boundary conditions in the time independent Schrodinger equation
  26. 26 ) The bound state solution to the delta function potential TISE
  27. 27 ) Scattering delta function potential
  28. 28 ) Finite square well scattering states
  29. 29 ) Linear algebra introduction for quantum mechanics
  30. 30 ) Linear transformation
  31. 31 ) Mathematical formalism is Quantum mechanics
  32. 32 ) Hermitian operator eigen-stuff
  33. 33 ) Statistics in formalized quantum mechanics
  34. 34 ) Generalized uncertainty principle
  35. 35 ) Energy time uncertainty
  36. 36 ) Schrodinger equation in 3d
  37. 37 ) Hydrogen spectrum
  38. 38 ) Angular momentum operator algebra
  39. 39 ) Angular momentum eigen function
  40. 40 ) Spin in quantum mechanics
  41. 41 ) Two particles system
  42. 42 ) Free electrons in conductors
  43. 43 ) Band structure of energy levels in solids

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