In questa pagina sono riportate le lezioni di “Introduction to Quantum Mechanics“, tenute agli studenti della New York University nell’autunno del 2019.
- Lecture 1: Introduction
- Lecture 2: The Schroedinger equation. The Statistical interpretation. The Probability
- Exercise 1
- Lecture 3: Wave function normalization. The momentum. Linear operators: a first view
- Lecture 4: Still about linear operators. The Uncertainty Principle
- Exercise 2
- Lecture 5: Stationary states
- Lecture 6: Still about the Schroedinger equation
- Lecture 7: The infinite square well
- Exercise 3
- Lecture 8: The quantum harmonic oscillator
- Lecture 9: The quantum harmonic oscillator
- Lecture 10: Still about the quantum harmonic oscillator
- Appendix 1
- Exercise 4
- Lecture 11: The free particle. The group velocity
- Appendix 2
- Lecture 12: The finite square well (bound states)
- Appendix 3
- Lecture 13: The Dirac potential well
- Exercise 5
- Lecture 14: The finite potential well: scattering states
- Appendix 4
- Lecture 15: Midterm exercise solution. The finite barrier
- Lecture 16: The Hilbert space
- Lecture 17: Linear operators in H and physical observables
- Lecture 18: Hermitian and unitary operators. Determinate states. Eigenfunctions and eigenvalues
- Exercise 6
- Lecture 19: Observables with a continuous spectrum
- Lecture 20: Compatible and incompatible observables. The uncertainty principle revisited
- Exercise 7
- Lecture 21: Dirac notation. Schroedinger equation in 3D
- Lecture 22: The angular equation. The radial equation
- Lecture 23: The hydrogen atom. The angular momentum
- Lecture 24: Still about the angular momentum
- Lecture 25: The spin. The spin 1/2
- Lecture 26: Addition of angular momenta