PHYS 451: Quantum Mechanics I  Spring 2020
Location & Contact Info
Instructor: Sergiy Bubin
Lecture Hours: Tue,Thu 10:30 am  11:45 am in room 7.427
Recitations: Tue 12:00 pm  1:15 pm in room 7.427
Office Hours: Tue 4:00 pm  5:00 pm, Thu 12:00 pm  1:15 pm in room 7E.333 (or by appointment)
Email: sergiy.bubin@nu.edu.kz
Office Phone: +7 (7172) 69 46 63
Course Description
In this course, students learn the basics of nonrelativistic quantum mechanics.
The course introduces the concept of the wave function, its interpretation,
and covers the topics of potential wells, potential barriers,
quantum harmonic oscillator, and the hydrogen atom. Next,
a more formal approach to quantum mechanics is taken by
introducing the postulates of quantum mechanics, quantum operators,
Hilbert spaces, Heisenberg uncertainty principle, and time evolution.
The course ends with topics covering the addition of angular momenta, spin,
emergence of energy bands in periodic systems,
and some basic aspects of manybody quantum mechanics, such
as the indistinguishability of identical particles and electron orbitals in atoms.
The course will include two lectures per week accompanied by a recitation.
Course Info
Syllabus: syllabus.pdf
Required Textbook
David J. Griffiths, Introduction to Quantum Mechanics (2nd Edition)
Other Useful References
Many other texts exist on quantum mechanics, including those at the introductory level.
Some can be found in the library, and may also be very useful in this course.
Students are encouraged to explore those. Examples are:
 Richard Liboff, Introductory Quantum Mechanics (4th Edition)
 Claude CohenTannoudji, Bernard Diu, and Franck Laloë, Quantum Mechanics, Vol. 1 (2nd Edition)
 Claude CohenTannoudji, Bernard Diu, and Franck Laloë, Quantum Mechanics, Vol. 2 (2nd Edition)
 Robert Scherrer, Quantum Mechanics: An Accessible Introduction
 Robert Eisberg, David O. Caldwell, and Richard J. Christman, Quantum Physics of Atoms, Molecules, Solids, Nuclei, and Particles
 Ira N. Levine, Quantum Chemistry (6th Edition)
Homework Assignments
Quizzes
Exams
Lecture Materials
Important note: Lecture materials provided below may be inclomplete
and should not be considered a substitute for notes taken in class or textbook materials
Lecture
 Date
 File
 Topic

Lecture #1 
Jan 14 
lec01.pdf 
Introductory notes. Timeline of quantum mechanics. 
Lecture #2 
Jan 16 
lec02.pdf 
Review of basic probability theory. 
Lecture #3 
Jan 21 
lec03.pdf 
Waveparticle duality. Schrödinger equation and its key characteristics. Statistical interpretation of wave function. 
Lecture #4 
Jan 23 
lec04.pdf 
Expectation values. Momentum operator. Heisenberg uncertainty principle. Stationary states. 
Lecture #5 
Jan 25 
lec05.pdf 
Particle in infinite square well. 
Lecture #6 
Jan 30 
lec06.pdf 
Quantum harmonic oscillator. 
Lecture #7 
Feb 4 
lec07.pdf 
Fourier series and Fourier transform. Free particle. 
Lecture #8 
Feb 6,11 
lec08.pdf 
Review of Dirac delta function. Particle in delta function potential. 
Lecture #9 
Feb 11 
lec09.pdf 
Probability current. 
Lecture #9 
Feb 13 
lec10.pdf 
Finite square well. Transmission through square rectangular barrier. 
Lecture #11 
Feb 18 
lec11.pdf 
Commutators. Solution of quantum harmonic oscillator problem using creation and annihilation operators. 
Lecture #12 
Feb 20 
lec12.pdf 
Formalism of quantum mechanics. 
Lecture #13 
Feb 25 
lec13.pdf 
Dirac notation, representations, projection and identity operators, spectral decomposition. 
Lecture #14 
Feb 27 
lec14.pdf 
CauchySchwarz inequality. General form of uncertainty principle. Timeevolution of expectation values. Energytime uncertainty principle. 
Lecture #15 
Mar 10 
lec15.pdf 
Schrödinger equation in 3D. Separation of variables for spherically symmetric potentials. Spherical harmonics. 
Lecture #16 
Mar 12 
lec16.pdf 
Hydrogenlike atom. 
R. assgn. #17 
Mar 30 
lec17.pdf 
Reduction of twobody problem with central interaction into onebody problem. Quantum rigid rotor. 
Lecture #18 
Apr 7 
lec18.pdf 
Commutation relations for angular momentum. Ladder operator method for angular momentum. 
Lecture #19 
Apr 7 
lec19.pdf 
Matrix representation of angular momentum operator. 
Lecture #20 
Apr 9 
lec20.pdf 
Addition of angular momenta. 
Lecture #21 
Apr 14 
lec21.pdf 
Spin. Properties of Pauli matrices. 
Lecture #22 
Apr 14 
lec22.pdf 
Electron in magnetic field. Larmor precession. SternGerlach experiment. 
Lecture #23 
Apr 16 
lec23.pdf 
Manybody problem in quantum mechanics. 
Lecture #24 
Apr 21 
lec24.pdf 
Exchange interaction. 
Lecture #25 
Apr 21 
lec25.pdf 
Atoms. Shell structure. Atomic terms. Hund's rules. 
Lecture #26 
Apr 23 
lec26.pdf 
Chains of 1D wells. Development of bands of energy. 
R. assgn. #27 
Apr 23 
lec27.pdf 
Periodic potentials. Dirac comb. Band structure. 
Schedule of Zoom Meetings (participation requires password)
Video Recordings (authorized users)
Video recordings of Zoom meetings are available in this folder on a shared Google Drive
Online Assignment Submission (authorized users)
All online assignments (homeworks, quizzes, exams) should be submitted via Google Classroom
Found an error on this page or in any of the pdf files? Send an email to the instructor at sergiy.bubin@nu.edu.kz.
