Ph 651   Quantum Mechanics I

Physics Department, Oregon State University

Fall 2020 term

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

DateLectures AssignmentsNotes
09/23 Problems with classical theory and emergence of quantum mechanics. (notes)   WS 1 papers: 1, 2, 3
09/25 Wave aspects of matter. (notes) Linear spaces. (notes) HW 1 (solutions) WS 2
09/28 Dirac notation. Bra-ket algebra. Operators.(notes)   WS 3
09/30 Properties of operators. Commutators.(notes) HW 2 (solutions) WS 4
10/02 Inverse and unitary operator. Projection operator.   WS 5
10/05 Matrix representation. Measurements. (notes) HW 3 (solutions) WS 6
10/07 Eigenvalues and expectation values.(notes)(supplement)   WS 7
10/09 Compatible observables and uncertainty relations.(notes) HW 4 (solutions)  
10/12 Complete sets of commuting observables. (notes)   WS 8
10/14 Change of basis. Infinitesimal and finite unitary trasformations.(notes)   WS 9
10/16 Translation in space. Position, momentum, and translation. (notes)    
10/19 Momentum operator in the position basis.(notes) HW 5 (solutions) WS 10 papers: Science 2017, Nature Physics 2019
10/21 Gaussian wave packets.(notes)   WS 11
10/23 Time evolution of the system.(notes)   WS 12
10/26 Midterm   (9 am,Zoom) (solutions)    
10/28 Time evolution of expectation values. The virial theorem.(notes)    
10/30 The Schroedinger versus the Heisenberg picture.(notes)   WS 13
11/02 Time-dependent and time-independent Schroedinger equation.(notes) HW 6 (solutions) WS 14
11/04 Energy quantization.(notes)   WS 15
11/06 Energy quantization (ctd).   WS 16
11/09 Interpretations of the wave function. Scattering in 1D.Tunneling through potential barriers. (notes) HW 7 (solutions) WS 17 STM Nature Physics
11/11 No class: Veterans day.    
11/13 Parity operator. Symmetric potentials and parity.(notes)   WS 18
11/16 Harmonic oscillator (coordinate representation). (notes)     papers: 1, 2
11/18 Harmonic oscillator (number representation). (notes) HW 8 (solutions)  
11/20 Harmonic oscillator (ctd.)   WS 19
11/23 Time development of the oscillator. The classical limit. (notes)   WS 20
11/25 The classical limit. WKB approximation.(notes) HW 9 (solutions)   PRL1998-WKB
11/27 no class: Thanksgiving    
11/30 WKB approximation:applications. (notes)   WS 21
12/02 Path integrals. (notes)    
12/04 Conceptual and philosophical problems of QM. (notes) Final Exam: Thursday, Dec 10, 11 AM (exam)   Bell-Compact,
Sci07-entanglement,
Nat07-Bell, RPP1978-Bell,
Nat03-EPR, Sci03-Bell,
Sci05-EPR, PRB1935-Bohr,
PRB1935-EPR,