Physics 501- Spring 2021
Quantum Mechanics II
Note: Lectures will begin Monday Jan11.
Note: I send emails to the class via the registrar's email lists for
this course. Please make sure that you have registered your email with the
Unfortunately some service providers see this as an indication that this
is spam and dumps the mail into a junk, or spam, or other labeled
folder. I do not know how to get around this as I do not want to give
everyone everyone else's email, I do not want to enter all 50 separate
email addresses as separate emails, but I want people to get them.
Please remember to look into your junk/spam/... folder as well if you do not
get the emails for this class.
Plagerism, cheating, etc
In one word
Ian Cavers (Associate Dean of Science) has already sent more cheating cases from Science to the President's Advisory
Committees on Student Discipline (PACSD) than PACSD normally deals with in a full year from the
whole university, and he is doing a lot of filtering. So please -
- Talk to your students early in course about cheating - what it is, why they should not do
it, and even though it is easier to do it now, it is easier to catch as all the necessary
evidence is readily available.
- Be explicit and detailed about integrity expectations in your posted course outline and exam
- Tell students what happens if they are suspected of cheating:
- Interview with instructors and undergraduate chair, and if response is unsatisfactory -
- Zero on course component (e.g. exam) and report sent to Dean's Office, then -
- Interview with the Associate Dean, then -
- At least: Letter of reprimand on permanent file
- More serious cases and all second offences: Move to President's Disciplinary
Committee, with consequences up to and including expulsion
There is apparently a UBC graduate Student chat channel where you can drop in to talk with
other grad students.
https://discord.com/invite/5ANvWbfFeB I have no idea how this works, but it may offer a place where you can meet up with other students taking this course to discuss problem, assignments, confusions, etc. I have no used it so cannot offer any advice. If anyone wants to give more information, pls email me, and I can post it here.
The exam will be a 24 hr open book exam starting on Tues Apr 20 at 15:30
PM PDT (22:30 UTC) and going to 15:30PM PDT (22:30 UTC) Wed Apr 21
The finished exam must be sent to me at my email address email@example.com by 15:30:PM Apr 21 PDT
If due to reasons beyond your control, it is impossible to send it to me,
please phone me ( +1 604 7365745 or +1 778 238 7962) before 15:30 to let me know of the problem.
While it is open book that does not mean that you can consult with, or in any way communicate with any other person
about the exam during that time period. You will be asked to sign a statement to that effect on the exam. Any such
commincation is academic misconduct with all of the consequences attached to such misconduct.
- Review of Quantum Mechanics
- Complementarity,Entanglement,Delayed Choice,
- Bell's Thm, Hardy's System, and the difference between quantum
theory and Classical theory.
- Conditions in QM (Aharonov's study of setting conditions at past
and future times)
- Linear Quantum Field theory (Bosonic theories, Simple Harmonic
Oscillator, squeezed states)
Previous Year Topics These may well get promoted to current.
- Particles and Detectors
- Hawking Radiation and Bugoliubov
- Application to quantum noise in Ligo
- Introduction to Quantum Computing (Grover, Shor, and Quantum bit
- Complementarity, delayed
choice, quantum eraser (Ch 8 from Zubairy's new
book "Quantum Mechanics for beginners")
- Bell's Thm, Hardy's system, and
- Aharonov Bergman and
Lebowitz Time symmetric quantum mechanics.
- How to measure the spin
of a spin 1/2 particle and obtain a spin of 100
- Mean King Problem How to know what the value of sigma-x, sigma-y or sigma-z is of a two level system. "A procedure is described whereby the result of the measurement of any of the three Cartesian components of the spin of a single spin- —, particle at a single time can be inferred with certainty from the result of two other measurements, one of which is carried out before, and the other after, the time in question"
- A series of
movies showing what the effect is of
decreasing the accuracy of the measurements for a
two-time spin 12.5 system.
- Vaidman Bomb detector
- Book-ch 4 This is
a chapter from a book being written by R Schuetzhold and me.
- Norm for modes and associated Annihilation
- Norm and Frequency It is the norm of
a mode, not its temporal frequency which determines which is
associated with the Annihilation operators.
- "Assymptotic Adiabatic approximation for time
dependent Harmonic Osciallator"
- A Simplified Landau Zenner derivation
- Particle creation by expanding Universe
(Feb 10 2021-- many more misprints corrected)
- Interaction Representation and
- Accelerated Detector The calculation
that an accelerated detector in the Minkowski vacuum state is
excited at a thermal rate.
- Recent paper on the
detection by two detectors and paradoxical results thereof
- Amplifier model
- "popular talk on Gravitational
radiation and the quantum Ligo detector"
- One of the very
early papers (1979) on the quantum nature of gravitational wave
detectors, including laser detectors.
- Laser Interferometer detection
of force on a Mirror
- Handwritten notes on the effect of laser
beam on radiation pressure quantum fluctuations on
- Caves 1980 PRL showing that
radiation pressure fluctuations add noise to interferometer.
- Original paper on laser noise
- Noise in Interferometer Hand
- Notes on Quantum Interferometer
II (some of this replaces the previos notes, and
- Hung Ou Mandel
- Beamsplitter calc and Hung
Ou Mandel effect
- quantum computing intro and
- First paper on Adiabatic Quantum
Computing by Farhi et al.
- Varieties of Q Compting Hand
written notes ( for an amplification of the Adiabatic thm
derivation see HERE
(altered Apr2-18:30 to include Berry's phase)
- Error Correction (Includes
diagramatic representation of Quantum Gates)
Error correction notes
- Quantum Fourier Transform and
- Diagram of Fourier Transform
- Diagram of Shor Algorithm
Assignments and Solutions
The assignements and solutions are included in pdf form.They can be viewed
with Acroread Acrobat Reader (Acroread) or if you run Linux, with gvi,okular,
If not handed in in class, put assignments into box on shelf outside my
room (in 311 Hennings) labeled Phys 341. (Not into the metal sorting rack but into the box)
The box is inside Rm 311 Hennings-- go right into the room up to the table,
then turn right. The shelf is on your right. My office is straight ahead of