Ph 651   Quantum Mechanics I

Physics Department, Oregon State University

Fall 2017 term

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

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DateLectures AssignmentsNotes
09/22 Problems with classical theory and emergence of quantum mechanics.(notes) HW 1 (solutions) WS 1
09/25 Wave aspects of matter.(notes)   WS 2 papers: 1, 2, 3
09/27 Linear spaces. Dirac notation.(notes) HW 2 (solutions) WS 3
09/29 Bra-ket algebra. Operators.(notes)   WS 4
10/02 Properties of operators. Commutators.(notes) HW 3 (solutions) WS 5
10/04 Projection operator. Matrix representation. (notes)   WS 6
10/06 Measurements. Eigenvalues and expectation values. (notes)    
10/09 Compatible observables and uncertainty relations.(notes)(supplement)   WS 7
10/11 Complete sets of commuting observables. (notes) HW 4 (solutions) WS 8
10/13 Change of basis. Infinitesimal unitary trasformations. (notes)   WS 9
10/15 Infinitesimal and finite unitary trasformations. Translation in space. (notes)   WS 10
10/18 Position, momentum, and translation. (notes) HW 5 (solutions) WS 11
10/20 Momentum operator in the position basis. Gaussian wave packets.(notes)    
10/22 Gaussian wave packets. Time evolution of the system's state.(notes)    
10/25 Time evolution of the expectation values. The virial theorem.(notes)    
10/27 Midterm   (9 am, Weniger 304) (solutions)    
10/30 The Schroedinger versus the Heisenberg picture.(notes)    
11/01 Time-dependent and time-independent Schroedinger equation.(notes)    
11/03 Energy quantization.(notes)     STM Nature Physics
11/06 Scattering in 1D. Tunneling through potential barriers.(notes)    
11/08 Parity operator. Symmetric potentials and parity.(notes)    
11/10 No class: Veterans day.    
11/13 Harmonic oscillator (coordinate representation). (notes)     papers: 1, 2
11/15 Harmonic oscillator (number representation).(notes)    
11/17 Time development of the oscillator. (notes)    
11/20 The classical limit. WKB approximation. (notes)    
11/22 WKB approximation.(notes)     PRL1998-WKB
11/24 Thanksgiving    
11/27 Path integrals.(notes)    
11/29 Path integrals.    
12/01 Conceptual and philosophical problems of QM. (notes) Final Exam: Thursday, December 7 at 2 PM   Bell-Compact,
Sci07-entanglement,
Nat07-Bell, RPP1978-Bell,
Nat03-EPR, Sci03-Bell,
Sci05-EPR, PRB1935-Bohr,
PRB1935-EPR,