TFY4205 Quantum Mechanics II autumn 2023
TFY4205 Quantum Mechanics II autumn 2023
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Timetable & practical info
Timetable & practical info
Lectures
Lectures
Mondays 1215-1400 in R3
Tuesdays 1115-1300 in R3
The lectures are video-recorded and available in Blackboard under "Course work". The final lecture was given on November 21st.
Exercise guidance
Exercise guidance
Tuesdays 1015-1100 in R3
The first exercise guidance hour will take place on Tuesday August 29th. The final exercise guidance hour was given on November 21st.
The teaching assistant is Wanjing Smedsrud (wanjing dot h dot smedsrud at ntnu dot no). Please feel free to mail her if you have questions about the exercises.
Reference group
Reference group
Eskil Vik (eskilvi at stud dot ntnu dot no) and Kari Margrethe Gjøsteen (kari dot gjosteen at me dot com). A summary of the first meeting is found here. A summary of the second meeting is found here.
Exam
Exam
The exam will be a regular written one with a duration of 4 hours on December 14th.
The only allowed aid during the exam is the collection of mathematical formula by Karl Rottmann and a simple calculator.
Question hour
Question hour
Monday December 11th in R3 at 13:15-14:00.
Please send your questions in advance to jacob dot linder at ntnu dot no.
Curriculum and exercises
Curriculum and exercises
Curriculum
Curriculum
The curriculum is defined by the lectures which in turn will follow closely "Intermediate Quantum Mechanics". A summary of most of the content in the course is found here.
To get access to this book, sign up for a free account on Bookboon.com, search for the title on Bookboon.com, and then press download.
Additional notes relevant for curriculum:
Periodic potentials/band theory in "Introduction to Quantum Mechanics".
Extra material on exchange interaction, variational principle and singlet states
Derivation of minimal coupling p-qA in Lagrangian formalism/classical mechanics
Extra material on Landau levels in graphene and hopping model
Extra material on entanglement (see topic 5). The part relevant for the curriculum is everything from the start up to 5.1.4, from the beginning of 5.3 to 5.3.1, and from the start of 5.3.2 up to "Schmidt decomposition". The teaching goals for the part on entanglement are found here.
See section "A useful choice" on page 5 here for an explanation of why we can set <n|n^1>=0 in time-indepenent perturbation theory.
Note on rotation operator for spin-1/2 particles.
You can also find some of the above material covered in the Norwegian textbook "Kvantemekanikk" by P. C. Hemmer.
Exercises
Exercises
Two of the exercises (named "Feedback exercise" below) can be handed in (this is voluntary) via Blackboard to the teaching assistant to get feedback on your solution. You can hand them in under the folder "Feedback exercise" in Blackboard.
If you have any questions, please contact the teaching assistant.
August 29th - Exercise #1
September 5th - Exercise #2
September 12th - Exercise #3
September 19th - Exercise #4
September 26th - Exercise #5
Feedback exercise #1 (deadline September 29th)
October 3rd - Exercise #6
October 10th - Exercise #7
October 17th - Exercise #8
Feedback exercise #2 (deadline October 27th)
October 24th - Teaching assistant is available
October 31st - Exercise #9
November 7th - Exercise #10
November 14th - Exercise #11
November 21st - Exercise #12
Lecture plan
Lecture plan
Rough plan for the semester - deviations may occur.
Week 34 - Introduction
Review of basic principles in QM, general formulation of QM, Hilbert space, bra-ket notation, different representations, harmonic oscillator.
Week 35 - Harmonic oscillator + Approximative methods part I
Coherent states, non-degenerate and degenerate time-independent perturbation theory, Stark-effect
Week 36 - Approximative methods part II
Variational method, ground-state spin configuration, WKB-approximation.
Week 37 - Approximative methods part III + Time-dependent pert. theory
Time-dependent perturbation theory, transient perturbations
Week 38 - Adiabatic approximation, Berry-phase, sudden approximation
Adiabatic approximation, Berry-phase, sudden approximation
Week 39 - Scattering theory part I
Scattering as a stationary problem, Born-approximation
Week 40 - Scattering theory part II
Continued Born-approximation, partial-wave expansion
Week 41 - Scattering theory part III
Optical theorem, lab and CM frames, scattering of identical particles
Week 42 - Magnetic field part I
Zeeman effect, Landau levels
Week 43 - Magnetic field part II and Quantized radiation theory part I
Aharonov-Bohm effect, flux quantization, quantization of EM field
Week 44 - Quantized radiation theory part II
Coherent states, spontaneous and stimulated emission
Week 45 - Quantum statistics + Entanglement part I
Mixed states, density operator and matrix, entanglement
Week 46 - Entanglement part II
Continued entanglement, Bell inequality
Week 47 - Periodic potentials and electron bands
Bloch states, Kronig-Penney model, bands and gaps
Useful links
Useful links
Lecture notes
• Free eBook "Intermediate Quantum Mechanics"
• Free eBook "Introduction to Quantum Mechanics"
Supplementary material
• QM derivation of Coulomb scattering cross section
Examples of exams from previous years
Examples of exams from previous years
2014
Problem text | Solution
2015a
Problem text | Solution
2015b
Problem text | Solution
2016
Problem text | Solution
2017
Problem text | Solution
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