Date | Lectures | Assignments | Notes | |
09/27 | Problems with classical theory and emergence of quantum mechanics. (notes) | WS 1 | papers: 1, 2, 3 | |
09/29 | Wave aspects of matter. (notes) Linear spaces. | HW 1 (solutions) | WS 2 | |
10/02 | Linear spaces (ctd.). Hilbert space. Dirac notation. Bra-ket algebra. (notes) | WS 3 | ||
10/04 | Operators. Properties of operators. Commutators.(notes) | HW 2 (solutions) | WS 4 | |
10/06 | Projection operator. (notes) | WS 5 | ||
10/09 | Matrix representation.(notes) Measurements. Eigenvalues and expectation values. (notes) | HW 3 (solutions) | WS 6 | |
10/11 | Measurements: non-degenerate vs degenerate eigenvalues. (supplement) | Nobel Prize in Physics 2023 awarded to Agostini, L'Hullier, and Krausz for groundbreaking experiments in attosecond physics ! | WS 7 | Intro to attosecond science: 1 |
10/13 | Compatible observables and uncertainty relations.(notes) | HW 4 (solutions) | ||
10/16 | Complete sets of commuting observables. (notes) | |||
10/18 | Change of basis. Infinitesimal and finite unitary trasformations.(notes) | WS 8 | ||
10/20 | Infinitesimal and finite unitary trasformations (ctd.) | WS 9 | ||
10/23 | Translation in space. Position, momentum, and translation. (notes) | HW 5 (solutions) | WS 10 | |
10/25 | Momentum operator in the position basis.(notes) | WS 11 | ||
10/27 | Gaussian wave packets.(notes) | WS 12 | ||
10/30 | Time evolution of the system.(notes) | WS 13 | ||
11/01 | Midterm (9 am, Weniger 304) | |||
11/03 | Time evolution of expectation values. The virial theorem.(notes) | WS 14 | ||
11/06 | The Schroedinger versus the Heisenberg picture.(notes) | WS 15 | ||
11/08 | Time-dependent and time-independent Schroedinger equation.(notes) | HW 6 (solutions) | WS 16 | |
11/10 | No class: Veteran's Day | |||
11/13 | Energy quantization.(notes) | |||
11/15 | Parity operator. Symmetric potentials and parity.(notes) | WS 17 | ||
11/17 | Interpretations of the wave function. Scattering in 1D.Tunneling through potential barriers. (notes) | HW 7 (solutions) | WS 18 | STM Nature Physics |
11/17 (make up) | Interpretations of the wave function. Scattering in 1D.Tunneling through potential barriers (ctd.)(notes) | |||
11/20 | Harmonic oscillator (coordinate representation). (notes) | WS 19 | papers: 1, 2 | |
11/22 | Harmonic oscillator (number representation). (notes) | HW 8 (solutions) | WS 20 | |
11/24 | no class: Thanksgiving | |||
11/27-29 | no class: Oksana at MRS meeting in Boston | |||
12/01 | Time development of the oscillator. (notes) | WS 21 | ||
12/04 | The classical limit. (notes) | |||
12/06 | WKB approximation.(notes) | WS 22 | PRL1998-WKB | |
12/06 (make up) | Intro to Quantum Information (notes) | |||
12/08 | Intro to quantum informaiton (ctd.). Conceptual and philosophical problems of QM. (notes) | Final Exam: Monday December 11, 2 pm (Weniger 304) |
Bell-Compact,
Sci07-entanglement, Nat07-Bell, RPP1978-Bell, Nat03-EPR, Sci03-Bell, Sci05-EPR, PRB1935-Bohr, PRB1935-EPR, | |