Lecture 3
April 5, 2013
Reading: Chapter 2
Problem Set #1 due Friday, April 12
1
1-D Waves on a String
L = n n / 2
n = 2L / n
n = 1, 2, 3, 4,
Quantized wavelength arising from boundary conditions.
2
John Gresl
75354960
Professor John Lowengrub
Due Date: Friday May 15 2015 at 5:00 PM
Lab Assignment 6
-Non-Linear Shooting Method
The goal of this lab is to develop a method to solve second order non-
Physics 113A
Quantum Mechanics
Spring 2016
Problem Set 1
This problem set is due Friday 8 April at the start of discussion (10am). Late
problem sets delivered to [email protected] by Friday at 11:59pm
Quantum Mechanics
Spring 2016
Problem Set 2
This problem set is due Friday 15 April at the start of discussion (10am). Late
problem sets delivered to [email protected] by Friday at 11:59pm will receive
Lecture 2
April 2, 4, 2013
Atomic Spectra
Hydrogen Atom Spectra
Bohr
Low Energy Electron
Reflection/Diffraction
Davisson & Germer
Si(100)
High Energy Electron Transmission/Diffraction
G.P. Thomson
TEM
Problem 3.3
Suppose h|Qh = Qh|h for all functions h(x). Let h(x) = f (x) + cg (x) for some arbitrary constant c. Then
h|Qh = (f + cg )|Q(f + cg ) = f |Qf + c f |Qg + c g |Qf + |c|2 g |Qg ;
2
Qh|h = Q(
Problem #2
k ' tan k ' L
'
k
'
k cot k L
Even
k Odd
Let z=k ' L, z0 2 =2mV0 L2 / 2 , we can get
tan z
z0 z
cot z
In[3]:=
V0
In[4]:=
m
z0 z
13.6
9
In[39]:=
z0
1.6
1
Even
2
1
Odd
10 ^ 19;
10 ^ 32;
hbar
Lecture 5
April 11, 2013
Orthogonality of Wavefunctions
+
m* n dx = 0
h2 d 2
+ V = E
2
2m dx
Suppose n and m are two wave functions with energies E n and Em
So:
h d n
+ V n = En n Eq. (1)
2
2m dx
2
2
Name: Student ID:
Physics 113A Quantum Mechanics Spring 2013
9:30 10:50, RH 108, Thursday, April 25, 2013
Test #1
(Closed book. Calculator and one information sheet are allowed.)
All work is to
Math 115
Assignment III
Spring, 2016
READING:
Chapters 5 and Sec. 7. 1 7.3 of [FW16] (section in Ch. 7 of [FW16] are the same as Sec.
13.1 13.3 of Course Text [FW[)
EXERCISES: Do any six problems and