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 
Braket 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 
Timedependent and timeindependent 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  PRL1998WKB

11/23 
no class: Thanksgiving 
 

11/26 
WKB approximation (ctd). Path integrals. (notes) 

WS 24 

11/30 
Path integrals (ctd). 


