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Chapter 2

Chapter 2. The Schrodinger Equation. wave function of a free particle. Time dependent Schrodinger equation. The probability density. Expectation values for momentum and energy. Operators. Relation between expectation values and operators. Wave equation. Dr. Maha Torjman.

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Chapter 2

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  1. Chapter 2 The Schrodinger Equation

  2. wave function of a free particle. • Time dependent Schrodinger equation. • The probability density. • Expectation values for momentum and energy. • Operators. • Relation between expectation values and operators.

  3. Wave equation Dr. Maha Torjman

  4. Classical Wave equation Dr. Maha Torjman

  5. Schrödinger Wave equation Dr. Maha Torjman

  6. wave function for a free particle. E0 = 0 from the relativistic Particle E0 = 0 from the relativistic Particle Dr. Maha Torjman

  7. wave function for a free particle Dr. Maha Torjman

  8. Dr. Maha Torjman

  9. Dr. Maha Torjman

  10. Dr. Maha Torjman

  11. Dr. Maha Torjman

  12. Momentum and Energy operators Dr. Maha Torjman

  13. Dr. Maha Torjman

  14. ( Example using operators )

  15. Dr. Maha Torjman

  16. Expectation Value

  17. Dr. Maha Torjman

  18. Expectation Values Dr. Maha Torjman

  19. Dr. Maha Torjman

  20. Dr. Maha Torjman

  21. Dr. Maha Torjman

  22. Expectation value and operators Dr. Maha Torjman

  23. Dr. Maha Torjman

  24. Dr. Maha Torjman

  25. Time-independent Schrodinger equation(1) Dr. Maha Torjman

  26. Time-independent Schrodinger equation(2) Dr. Maha Torjman

  27. Time-independent Schrodinger equation(3) Dr. Maha Torjman

  28. Time-independent Schrodinger equation(4)

  29. Required properties of eigenfunctions Dr. Maha Torjman

  30. Dr. Maha Torjman

  31. Dr. Maha Torjman

  32. Example ( standard deviation )

  33. Dr. Maha Torjman

  34. Summary(2) Dr. Maha Torjman

  35. Homework

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