Ph 651   Quantum Mechanics I

Physics Department, Oregon State University

Fall 2018 term

Instructor: Oksana Ostroverkhova (Wngr 413)
Lectures: MWF 9am, Weniger 304
Course Information
(pdf file) 


DateLectures AssignmentsNotes
09/24 Problems with classical theory and emergence of quantum mechanics. (notes) Wave aspects of matter. (notes) HW 1 (solutions) WS 1 papers: 1, 2, 3
09/26 Linear spaces. Dirac notation.(notes) HW 2 (solutions) WS 2
09/28 Bra-ket algebra. Operators.(notes)   WS 3
10/01 Properties of operators. Commutators.(notes)   WS 4
10/03 Projection operator. Matrix representation. (notes)   WS 5
10/05 Measurements. Eigenvalues and expectation values. (notes) HW 3 (solutions) WS 6
10/08 Compatible observables and uncertainty relations.(notes)(supplement)   WS 7
10/10 Complete sets of commuting observables. (notes) HW 4 (solutions) WS 8
10/12 Change of basis. Infinitesimal and finite unitary trasformations.(notes)   WS 9
10/15 Translation in space. Position, momentum, and translation. (notes)   WS 10
10/17 Momentum operator in the position basis. (notes) HW 5 (solutions) WS 11
10/19 Gaussian wave packets.(notes)   WS 12
10/22 Time evolution of the system.(notes)   WS 13
10/24 Time evolution of expectation values. The virial theorem.(notes) HW 6 (solutions) WS 14
10/26 The Schroedinger versus the Heisenberg picture.(notes)   WS 15
10/29 Midterm   (9 am, Weniger 304) (solutions)    
10/31 Time-dependent and time-independent Schroedinger equation.(notes)   WS 16
11/02 Energy quantization.(notes)   WS 17
11/05 Scattering in 1D.Tunneling through potential barriers. (notes)   WS 18 STM Nature Physics
11/07 Parity operator. Symmetric potentials and parity.(notes)   WS 19
11/09 Harmonic oscillator (coordinate representation). (notes) HW 7 (solutions) WS 20 papers: 1, 2
11/12 No class: Veterans day.    
11/14 Harmonic oscillator (number representation). (notes) HW 8 (solutions) WS 21
11/16 Time development of the oscillator. (notes)   WS 22
11/19 Time development of the oscillator. The classical limit. (notes)    
11/21 The classical limit. WKB approximation.(notes)   WS 23 PRL1998-WKB
11/23 no class: Thanksgiving    
11/26 WKB approximation (ctd). Path integrals. (notes)   WS 24
11/30 Path integrals (ctd).