Quantum Physics 1 2014-2015
Overview of homework and study material
for all tutorial sessions and lectures
(version of 2 Sept. 2014, updates/modifications will be made during the course)
Book
Introduction to Quantum Mechanics
By D. J. Griffiths
2nd edition
All problem sets that were handed out in class can be found as a pdf file on the Quantum Physics 1 web pages at http://www.quantumdevices.nl/teaching/ under PROBLEM SETS.
This list also defines what needs to be studied for the final exam.
The mid-term exam (toets), is about all that is covered during the first 3 weeks of the course.
We distinguish between study material and reading material.
Study material is what you must now for the exam.
Reading material is additional interesting material, but the contents are not in a direct way needed for your exam preparation. It is very useful to read while the course is given for developing your insight and broader understanding, and you should definitely do so if you are serious about developing yourself into a good physicist.
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Homework and study material for the 1st week of the course
(2-Sept-2014 - 5-Sept-2014)
Study material
Chapter 1 - All sections.
Contents and slides of the hearing lectures.
Reading material
none
Problems
Homework, to be made before the first werkcollege
Chapter 1 - 1.1, 1.2, 1.3, 1.4, 1.7, 1.18
Problems to work on during werkcollege
Problems W1.1 –W1.3 will be handed out in class.
Other good problems that we selected (we advise you to make these for the topics where you need or like to do extra training):
from the book Chapter 1 - 1.5, 1.8, 1.9, 1.11, 1.14, 1.15, 1.17
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Homework and study material for the 2nd week of the course
(9-Sept-2014 - 12-Sept-2014)
Study material
Chapter 2, sections 2.1, 2.2, 2.3.
Extra handout from the Feynman Lectures Vol. III, chapter 1 (copies will be handed out, or copy can be picked up in the hall next to room 140 in building 13, or print this pdf http://www.quantumdevices.nl/teaching/Feynman_Part3_Chap1.pdf ).
Contents and slides of the hearing lectures.
Reading material
none
Problems
Homework, to be made before the werkcollege:
From the book Chapter 2 - 2.1, 2.3, 2.4, 2.8 and 2.9
Problems to work on during werkcollege:
Problems W2.1 – W2.5 (hand out).
Other good problems that we selected (we advise you to make these for the topics where you need or like to do extra training):
from the book Chapter 2 - 2.2, 2.5a-c (hint: draw the state for n=1, n=2), 2.6, 2.7, 2.15
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Homework and study material for the 3rd week of the course
(16-Sept-2014 - 19-Sept-2014)
Study material
Chapter 2, section 2.4 and p. 70 (delta function).
Chapter 3, sections 3.1, 3.2, 3.6.
Contents and slides of the hearing lectures.
Reading material
Appendices from the Cohen-Tannoudji Book.
If you later in your life want or need to study quantum mechanics more thoroughly, or if you are now frustrated by some slightly superficial or hand-waving treatment in the Griffiths book or Liboff book, this is a VERY GOOD BOOK for further studies.
I almost always found that this book presents it complete and exactly correct (and thus sometimes in fact easier to follow).
At the link below here I only provide the Appendices, which provide for our course a better basis for
1) Definition and role of Fourier transform
2) Definition and role of Dirac delta function
3) Role of Hamiltonian and Lagrangian in classical mechanics, which can be used for a generalization of Newton’s classical equations of motion.
LINK: http://www.quantumdevices.nl/teaching/CohenT_Appendices.pdf .
Problems
Homework, to be made before the werkcollege:
From the book Chapter 2 - 2.18, 2.19 (just use the result stated in problem 1.14. if you did not yet make that problem), 2.21 and from Chapter 3 - 3.1, 3.3, 3.22
Problems to work on during werkcollege:
Problems W3.1 – W3.5 (hand out) and from the book Chapter 3 - 3.5, this is the minimal set you need to do. Other good problems that we selected (we advise you to make these for the topics where you need or like to do extra training):
from the book Chapter 2 - 2.20, and from Chapter 3 - 3.2, 3.4, 3.21, 3.23 (work this problem also out by using a matrix representation that uses the basis that is spanned by the vectors |1ñ and |2ñ), 3.24.
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Homework and study material for the 4th week of the course
(23-Sept-2014 - 26-Sept-2014)
Study material
Chapter 3, sections 3.3, 3.4, 3.5.
Contents and slides of the hearing lectures.
Reading material
none
Problems
Homework, to be made before the werkcollege:
From the book (Griffiths 2nd Ed.) Chapter 3 - 3.7, 3.13, 3.17, 3.31.
Problems to work on during werkcollege:
Problems W4.1 – W4.4 (hand out), and from the book Chapter 3 - 3.14, 3.15, 3.38, this is the minimal set you need to do.
Other good problems that we selected (we advise you to make these for the topics where you need or like to do extra training):
from the book Chapter 3 - 3.8, 3.10, 3.12, 3.27.
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Homework and study material for the 5th week of the course
(30-Sept-2014 - 3-Oct-2014)
Study material
Chapter 4, sections 4.1, 4.2.
Appendix sections A1, A2, A3, A4 (check it, most should be known from linear algebra and Chapter 3).
Contents and slides of the hearing lectures.
Reading material
none
Problems
Homework, to be made before the werkcollege:
From the book (Griffiths 2nd Ed.) Chapter 4 - 4.1, 4.3, 4.7.
Problems to work on during werkcollege:
Problem W5.1 (hand out), and from the book Chapter 4 - 4.2, 4.13, 4.14, 4.16, 4.45 (for solving the integrals see the inside back-cover page of the book) .
This is the minimal set you need to do.
Other good problems that we selected (we advise you to make these for the topics where you need or like to do extra training): from the book Chapter 4 - 4.15, 4.17.
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Homework and study material for the 6th week of the course
(7-Oct-2014 - 10-Oct-2014)
Study material
Chapter 4, sections 4.3, 4.4.
Appendix sections A5, A6 (check it, most should be known from linear algebra and Chapter 3).
Contents and slides of the hearing lectures.
Reading material
none
Problems
Homework, to be made before the werkcollege:
From the book (Griffiths 2nd Ed.) Chapter 4 - 4.19, 4.27, 4.29, 4.31, 4.35.
Problems to work on during werkcollege:
Problem W6.1 – W6.5 (hand out), and from the book Chapter 4 - 4.25, 4.32, 4.34.
This is the minimal set you need to do.
Other good problems that we selected (we advise you to make these for the topics where you need or like to do extra training): from the book Chapter 4 - 4.18.
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Homework and study material for the 7th week of the course
(14-Oct-2014 - 17-Oct-2014)
Study material
Handout on Exchange and identical particles
( http://www.quantumdevices.nl/teaching/ExchangeNote.pdf ).
[Study the handout before section 5.1]
Chapter 5, sections 5.1, 5.2.
Chapter 2, again section 2.3 (harmonic oscillator).
Contents and slides of the hearing lectures.
Reading material
none
Problems
Homework, to be made before the werkcollege:
From the book Appendix chapter - A.25.
From the book Chapter 5 - 5.4, 5.8, 5.9, 5.10.
Problems to work on during werkcollege:
Problem W7.1, W7.2 (hand out),
and from the book Chapter 5 - 5.2 (just use the results of 5.1 as listed in the problem, making 5.1 is optional), 5.5, 5.12 (W7.1 replaces 5.6). This is the minimal set you need to do.
Other good problems that we selected (we advise you to make these for the topics where you need or like to do extra training): from the book Chapter 5 - 5.1.
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Homework and study material for the 8th week of the course
(21-Oct-2014 - 24-Oct-2014)
Study material
Chapter 2, section 2.3 (repeat) 2.5, 2.6 (wave mechanics, delta potential, scattering, finite quantum well).
Chapter 5, sections 5.3, 5.4.
Further study guide for sections 5.3 and 5.4: In our study program the contents of these two sections also appears in the courses Solid State Physics and Thermal Physics / Statistical Mechanics. Hence, there is no need to study these two sections in full detail (treat them in part as reading material). From these section you must understands how the treatment of electrons in a solid state material has its foundation in the particle-in-a-box system of our course. On this topic you must know the lecture slides about it (this week) and fully understand problem W8.3.
What you must know from these sections is: the role of the Pauli exclusion principle in a solid, the concepts Fermi energy, energy bands and bandgap, black-body radiation, and the simple problems from the book you must make (see below).
Contents and slides of the hearing lectures.
Reading material
none
Problems
Homework, to be made before the werkcollege:
From the book (Griffiths 2nd Ed.) Chapter 5 - 5.15, 5.16, 5.27, 5.28, 5.31.
Problems to work on during werkcollege:
Problems W8.1 – W8.4 (hand out, W8.4 extends 2.10 from the book),
and from the book Chapter 2 - 2.33, and from Chapter 5 - (5.7 + 5.22), 5.29, 5.31, 5.32.
This is the minimal set you need to do. Other good problems that we selected:
from the book Chapter 5 - 5.17, 5.18, 5.19, 5.21.
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