Name:
Physics 139A Final Exam
9 June 2015
You have three hours to answer the FIVE questions. All work must be done on the exam
sheet (if you use the back of the page, be sure to indicate it), and you may use only a
pencil or pen. Make sure you write down
Name:
Physics 139A Midterm 1
19 April 2016
You have 100 minutes to answer the THREE questions. All work must be done on the
exam sheet (if you use the back of the page, be sure to indicate it), and you may use only a
pencil or pen. Make sure you write dow
Name:
Physics 139A Midterm 1
24 April 2015
You have 70 minutes to answer the THREE questions. All work must be done on the exam
sheet (if you use the back of the page, be sure to indicate it), and you may use only a
pencil or pen. Make sure you write down
PHYSICS 139A
PROBLEM SET 7
DUE FRIDAY 29 MAY 2015
Show all your work clearly and legibly; label the problem number and put a box
around your answer for each problem; be sure to quote units for all answers when
appropriate; staple the pages together in ord
Name:
Physics 139A Midterm 1
24 April 2015
You have 70 minutes to answer the THREE questions. All work must be done on the exam
sheet (if you use the back of the page, be sure to indicate it), and you may use only a
pencil or pen. Make sure you write down
Name:
Physics 139A Midterm 2
15 May 2015
You have 70 minutes to answer the TWO questions. All work must be done on the exam
sheet (if you use the back of the page, be sure to indicate it), and you may use only a
pencil or pen. Make sure you write down you
Some useful formulae
i
2
t
2
= 2m
2
2
2m
f |g =
2
1
2i
2 2
A B
2
[A, B]
1
2
a =
1
2 m
(m
x
[Jx , Jy ] = i Jz J = Jx iJy J 2 | jm > =
J | jm > =
(2S+1)
d
dt
Q =
i
[H, Q] +
Q
t
a
b
0 1
1 0
1
0
LJ
2
0 i
i 0
y =
(x)
a+b
2
+ +
=
=
i)
p
j(j +1) | j m >
PHYSICS 139A
PROBLEM SET 6
DUE FRIDAY 22 MAY 2015
Show all your work clearly and legibly; label the problem number and put a box
around your answer for each problem; be sure to quote units for all answers when
appropriate; staple the pages together in ord
PHYSICS 139A
PROBLEM SET 4
DUE FRIDAY 1 MAY 2015
Show all your work clearly and legibly; label the problem number and put a box
around your answer for each problem; be sure to quote units for all answers when
appropriate; staple the pages together in orde
PHYSICS 139A
PROBLEM SET 2
DUE FRIDAY 10 APRIL 2015
Show all your work clearly and legibly; label the problem number and put a box
around your answer for each problem; be sure to quote units for all answers when
appropriate; staple the pages together in o
PHYSICS 139A
PROBLEM SET 3
DUE FRIDAY 17 APRIL 2015
Show all your work clearly and legibly; label the problem number and put a box
around your answer for each problem; be sure to quote units for all answers when
appropriate; staple the pages together in o
PHYSICS 139A
PROBLEM SET 8
WILL NOT BE COLLECTED FOR GRADING
(1) Griths problem 5.16
(2) Griths problem 5.17
(3) Griths problem 5.22
(4) Griths problem 5.23
(5) Griths problem 5.27
(6) Griths problem 5.30
(7) Griths problem 5.31
(8) Griths problem 5.33
1
PHYSICS 139A
PROBLEM SET 5
DUE FRIDAY 8 MAY 2015
Show all your work clearly and legibly; label the problem number and put a box
around your answer for each problem; be sure to quote units for all answers when
appropriate; staple the pages together in orde
PHYSICS 139A
PROBLEM SET 1
DUE FRIDAY 3 APRIL 2015
Show all your work clearly and legibly; label the problem number and put a box
around your answer for each problem; be sure to quote units for all answers when
appropriate; staple the pages together in or
Homework 7
Phys
139A,
Due
Spring
May
2008,
30,
5
UCSC
pm
Spin Quantum Mechanics in a Nutshell
[100
A
points
spin
total]
1/2
problem
illustrates
the least complications.
Pauli
matrices
components
of
the
of
the
basic
principles
of
Quantum
Mechanics,
with
Th
Bonus Homework
Phys 139A, Spring 2008, UCSC
Due June 6, 1 pm (no late submissions)
Feel free to submit your solutions to these problems, or any part thereof. Scores that you earn on
these problems will be bonuses on top of your normal scores on homeworks
Homework 6
Phys 139A, Spring 2008, UCSC
Due May 23, 1 pm
1. [10 points; Some properties of commutator] Problem 3.13
2. [20 points; Conservations and Ehrenfest Theorem] Problem 3.17
3. [15 points; Virial theorem] Problem 3.31
4. [15 points; Scattering Matr
Homework 2
Phys 139A, Spring 2008, UCSC
Due April 18, 1 pm
In 4,5 below,
x x
and
p p .
1. [10 points; Unstable particle described by a complex potential (this case should be regarded as a
very rare exception to the standard case, where the potential is re
Homework 1
Phys 139A, Spring 2008, UCSC
Due April 11, 5 pm
1. [10 points] Problem 1.11
2. [10 points] Problem 1.14
3. [10 points; The zero point energy of a harmonic oscillator from the Uncertainty Principle and
the virial theorem.]
Consider the Hamiltoni
Homework 5
Phys 139A, Spring 2008, UCSC
Due May 13, 10 am
1. [20 points; Gaussian Wave Packet] This problem is a re-visit of the solution of Prob. 2.22
provided in the lecture note. By far, the trickest part of that solution is the part (d) to
evaluate p2
Homework 3
Phys 139A, Spring 2008, UCSC
Due April 25, 1 pm
1. [10 points] For each denition below, is O linear? Give a brief reason for each of your answers.
Recall that an operator O is linear if O [c1 1 (x) + c2 2 (x)] = c1 O1 (x) + c2 O2 (x) for any
fu