UCSD Physics 130b
Quantum Mechanics
Prof. B. Keating
Midterm
November 6, 2013
You are allowed to use one 8.5 x 11 sheet of notes, front and back, which must be handwritten.
Please write your answers in your blue books & put your name and PID number on eac
Physics 130B
Final Solutions
by Daniel Lombardo
Problem 1:
In this case we are approximating the transition as being instantaneous so the atom does
not transition out of the ground state. All that changes is the nucleus. The ground state
of hydrogen is as
MW 2 SQ/uvticmi
LN) W T- Assn (x): Sin {11117 imp-7202
g :: 51%1§ e - xz+y2+21
.Zmat1
(imam)! Jedi; ole-Far NJ {12 _
t Fl 12 r 2 (f;
f1 f7: : 6 (24",! 1) EXCLMF/ex
-f3 01 t C? (2221) SkiC;
a n * n (An)
. {111:2 zzxz)
g 11"14 (3,2,!)
nf ".7 _ _ .
As promised, I shall attempt to explain in more detail how to work with transcendental
equations. However, I wont solve the exact equation from problem 4.9(since then you
would have nothing to do). So instead I will use equation 2.154 from Griths section
I realize my discussion section ended at a bad point. We got through the math, but I
didnt have enough time to explain why any of it mattered. To nish what I started, we
had
U () = l+1 e v ()
where
v () = j =0 cj j
with the recursion relation
cj +1 = (2(j
L.J. Sham
December 7, 2010
Physics 130B Final Examination Solutions
Brickbats and bouquets 1. (a) t was frequently not defined and therefore the difference with the other three uncertainties not discerned. Some said that E was not the uncertainty of an ob
L.J. Sham
02/04/2011
Physics 130C Mid-Term Examination Solutions
1. Short questions. Each answer must be accompanied by a brief explanation. (a) Use Fig. 1 to give a description of how a photon can enable the transformation of an unentangled state of two