| Date | Lectures | Assignments | Notes | |
| 09/25 | Problems with classical theory and emergence of quantum mechanics. (notes) | WS 1 | papers: 1, 2, 3 | |
| 09/27 | Wave aspects of matter. (notes) Linear spaces. | HW 1 (solutions) | ||
| 09/30 | Linear spaces (ctd.). Hilbert space. Dirac notation. Bra-ket algebra. (notes) | WS 2 | ||
| 10/02 | Operators. Properties of operators. (notes) | HW 2 (solutions) | WS 3 | |
| 10/04 | Commutators. (notes) | WS 4 | ||
| 10/07 | Projection operator. Matrix representation.(notes) | HW 3 (solutions) | WS 5 | |
| 10/09 | Measurements. Eigenvalues and expectation values. (notes) | Nobel Prize in Physics 2024 awarded to Hopfield and Hinton for discoveries enabling machine learning with artificial neural networks ! | WS 6 | |
| 10/11 | Measurements: non-degenerate vs degenerate eigenvalues. (supplement) | HW 4 (solutions) | WS 7 | |
| 10/14 | Compatible observables. Uncertainty relations. (notes) | |||
| 10/16 | Complete sets of commuting observables. (notes) | WS 8 | ||
| 10/18 | Infinitesimal and finite unitary trasformations.(notes) | WS 9 | ||
| 10/21 | Translation in space. Position, momentum, and translation. (notes) | HW 5 (solutions) | ||
| 10/23 | Translation in space. Position, momentum, and translation. (ctd) | WS 10 | ||
| 10/25 | Momentum operator in the position basis.(notes) | WS 11 | ||
| 10/28 | Gaussian wave packets.(notes) | WS 12 | ||
| 10/30 | Time evolution of the system.(notes) | WS 13 | ||
| 11/01 | Time evolution of expectation values. The virial theorem.(notes) | |||
| 11/04 | Midterm (9 am, Weniger 304) | |||
| 11/06 | The Schroedinger versus the Heisenberg picture.(notes) | WS 14 | ||
| 11/08 | Time-dependent and time-independent Schroedinger equation.(notes) | HW 6 (solutions) | WS 15 | |
| 11/11 | No class: Veteran's Day | |||
| 11/13 | Time-dependent and time-independent Schroedinger equation (ctd). | WS 16 | ||
| 11/15 | Energy quantization.(notes) | HW 7 (solutions) | WS 17 | |
| 11/18 | Interpretations of the wave function. Scattering in 1D.Tunneling through potential barriers.(notes) | WS 18 | ||
| 11/20 | Parity operator. Symmetric potentials and parity.(notes) | STM Nature Physics | ||
| 11/22 | Harmonic oscillator (coordinate representation). (notes) | HW 8 (solutions) | WS 19 | papers: 1, 2 |
| 11/25 | Harmonic oscillator (number representation). (notes) | WS 20 | ||
| 11/27 | Uncertainty relations for harmonic oscillator.(notes) | HW 9 (solutions) | ||
| 11/29 | no class: Thanksgiving | |||
| 12/02 | Time development of the oscillator.(notes above) | |||
| 12/04 | The classical limit. (notes) | PRL1998-WKB | ||
| 12/06 | WKB approximation.(notes)Conceptual and philosophical problems of QM. (notes) | Final Exam: Thursday December 12, 10 am (Weniger 304) | Check out papers related to Bell's inequality and EPR paradox ! |
Bell-Compact,
Sci07-entanglement, Nat07-Bell, RPP1978-Bell, Nat03-EPR, Sci03-Bell, Sci05-EPR, PRB1935-Bohr, PRB1935-EPR, |