Quantum Mechanics. Fall 2025.


Schedule:

Books:
Tue, Thur, Fri, 16:00-19:00. Room: E-B5-2007.
Syllabus for QM (MA030177). 		Required: L.D. Landau and E.M. Lifshitz,
Quantum mechanics (non-relativistic theory), vol. 3 of Course of Theoretical Physics
4th edition, Nauka, Moscow, 1989. ISBN 978-0750635394. Russian version. English version.
Recommended: R. Feynman,
Feynman lectures on Physics, vol. 3 Quantum Mechanics,
ISBN 978-0465024179. Russian version: Vol. 8, Vol. 9. English version.
Some extra material:
P.V. Elyutin and V.D. Krivchenkov, Quantum mechanics with problems,
2nd edition, Fizmalit 2001. Russian version.
V.M. Galitzki, B. Karnakov, V.I. Kogan, and V. Galitski Jr.,
Problems in Quantum Mechanics,
ISBN 978-0486480886. Russian version. English version.
Good text in English on Applied PDEs by R. Habermann (read theory of Sturm-Liouville operator): English version.
Some lecture notes can be found at the bottom of the page.

How grades are assigned?

Entry test: 5 points.
Attendance: 10 points.
Three homeworks: 3x15 = 45 points.
Final exam: 40 points.
Total: 100 points.
Lowest boundaries for grades (not higher than):
A = 86, B = 76, C = 66, D = 56, E = 46, F < 46.
Week # Material covered HW due date
- Final Exam.
Topics:
Potential wells and Schroedinger equation.
Harmonic oscillator. Ladder operators.
Perturbation theory.
Fermi Golden Rule.
Born approximation (from perturbation theory).
Density matrix. Spin.
You are allowed to have one sheet (two sides) of A4 size paper with any formulae you like,
BUT it is prohibited to have solutions of the problems there!
You will need to submit this page with you Final. 		October 24th, 2025, usual class time.
3 Homework 03.
Angular momentum. Density matrix. WKB approximation and tunneling. Adiabatic approximation.
 October 21st, 2025, end of day.
2 Homework 02.
Perturbation theory. Fermi Golden Rule. Born approximation.
 October 13 14th, 2025, end of day.
1 Homework 01.
Operators, wave function, superposition, observables, eigenstates, matrix elements, time evolution, Schroedinger equation, particle in the box.
Rectangular well, delta potential, discrete and extended states, harmonic oscillator (Hermite polynomials and ladder operators). 		October 7 8th, 2025, end of day.
Below you can find additional material.
Week # Lectures Notes.
4 Lecture 10
. 		Lecture 11
. 		Final exam.
3 Lecture 07
. 		Lecture 08
. 		Lecture 09
.
2 Lecture 04
. 		Lecture 05
. 		Lecture 06
.
1 Lecture 01
. 		Lecture 02
. 		Lecture 03
.