About the course
Course material
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Video lesson 1: Schrödinger's equation (5:25)
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Video lesson 2: Example system: Harmonic oscillator - part 1 (4:31)
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Exercise 1: Coherent state of a harmonic oscillator
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Video lesson 3: Example system: Harmonic oscillator - part 2 (1:52)
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Video lesson 4: Born's rule (2:23)
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Video lesson 5: Normalization condition (3:01)
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Exercise 2: An example of using the Born rule
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Video lesson 6: Position expectation value (3:03)
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Exercise 3: Position expectation value in symmetric distributions
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Exercise 4: Position expectation value: An example
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Video lesson 7: Momentum expectation value (2:47)
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Exercise 5: Momentum expectation value
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Exercise 6: Mean momentum of a particle with a real wave function
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Video lesson 8: Observables and operators (4:24)
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Video lesson 9: Example: Zero-point energy of a harmonic oscillator (5:51)
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Exercise 7: Expectation values of x, p, V, and T for a coherent state
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Video lesson 10: Uncertainty (5:35)
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Exercise 8: An example of Heisenberg’s uncertainty principle
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Video lesson 11: Heisenberg's uncertainty principle (3:55)
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Exercise 9: Derivation of Heisenberg’s uncertainty principle
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Video lesson 12: Zero-point energy revisited (3:09)
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Video lesson 13: Quantum superposition (6:36)
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Exercise 10: Normalizing a cat state
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Video lesson 14: Stationary states - part 1 (5:15)
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Video lesson 15: Stationary states - part 2 (5:29)
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Video lesson 16: Particle in a box (6:52)
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Exercise 11: Normalization constant for the stationary states of a particle in a box
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Exercise 12: Classical limit in the particle-in-a-box system
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Video lesson 17: Origin of motion (5:13)
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Exercise 13: Temporal oscillations in a superposition of two stationary states
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Exercise 14: Determining expansion coefficients from the initial wave function
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Video lesson 18: Expansion coefficients, energy measurement, wave function collapse (5:17)
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Exercise 15: An alternative form of the normalization condition
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Exercise 16: Two alternative expressions for the expectation value of energy
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Exercise 17: Energy measurement for a particle in a box
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Video lesson 19: Free particle (5:55)
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Exercise 18: Free-particle Gaussian wave packet
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Video lesson 20: Step potential (7:27)
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Exercise 19: Solving the Schrödinger equation for the step potential
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Exercise 20: Step potential: Probabilities of reflection and transmission
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Video lesson 21: Quantum tunneling (5:02)
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Exercise 21: Tunneling through a rectangular potential barrier
Afterword
