PHYS 451: Quantum Mechanics I  Spring 2018
Location & Contact Info
Instructor: Sergiy Bubin
Lecture Hours: Tue,Thu 10:30 AM  11:45 AM in room 7.527
Recitations: Mon 2:00 PM  2:50 PM in room 7.427
Office Hours: Mon 3:00 PM  4:00 PM, Wed 12:00 PM  1:00 PM, in room 7.204 (or by appointment)
Phone: +7 (7172) 69 46 63
Email: sergiy.bubin@nu.edu.kz
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,
and some basic aspects of manybody quantum mechanics.
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 both at the introductory and more advanced level,
some can be found in the library, and can also be very useful in this course.
Students are encouraged to explore those. Examples of the introductory level textbooks are:
 Richard Liboff, Introductory Quantum Mechanics (4th 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 9 
lec01.pdf 
Introductory notes. Timeline of quantum mechanics. 
Lecture #2 
Jan 11 
lec02.pdf 
Review of basic probability theory. 
Lecture #3 
Jan 16 
lec03.pdf 
Waveparticle duality. Schrödinger equation and its key characteristics. Statistical interpretation of wave function. 
Lecture #4 
Jan 18 
lec04.pdf 
Expectation values. Momentum operator. Heisenberg uncertainty principle. Stationary states. 
Lecture #5 
Jan 23 
lec05.pdf 
Particle in infinite square well. 
Lecture #6 
Jan 25 
lec06.pdf 
Quantum harmonic oscillator. 
Lecture #7 
Jan 30 
lec07.pdf 
Fourier series and Fourier transform. Free particle. 
Lecture #8 
Feb 1,5 
lec08.pdf 
Review of Dirac delta function. Particle in delta function potential. 
Lecture #9 
Feb 6 
lec09.pdf 
Finite square well. Transmission through square rectangular barrier. 
Suppl. note #01 
Feb 6 
nt01.pdf 
Probability Current. 
Lecture #10 
Feb 8 
lec10.pdf 
Commutators. Solution of quantum harmonic oscillator problem using creation and annihilation operators. 
Lecture #11 
Feb 10 
lec11.pdf 
Formalism of quantum mechanics. 
Lecture #12 
Feb 13 
lec12.pdf 
Dirac notation, representations, projection and identity operators, spectral decomposition. 
Lecture #13 
Feb 15 
lec13.pdf 
CauchySchwarz inequality. General form of uncertainty principle. Timeevolution of expectation values. Energytime uncertainty principle. 
Lecture #14 
Feb 22 
lec14.pdf 
Schrödinger equation in 3D. Separation of variables for spherically symmetric potentials. Spherical harmonics. 
Lecture #15 
Feb 27 
lec15.pdf 
Hydrogenlike atom. 
Lecture #16 
Mar 1 
lec16.pdf 
Reduction of twobody problem with central interaction into onebody problem. Quantum rigid rotor. 
Lecture #17 
Mar 13 
lec17.pdf 
Commutation relations for the angular momentum. The ladder operator method. 
Lecture #18 
Mar 15 
lec18.pdf 
Matrix representation of the angular momentum operator. 
Lecture #19 
Mar 27 
lec19.pdf 
Addition of angular momenta. 
Lecture #20 
Mar 29 
lec20.pdf 
Spin. Properties of Pauli matrices. 
Lecture #21 
Apr 3 
lec21.pdf 
Electron in magnetic field. Larmor precession. SternGerlach experiment. 
Lecture #22 
Apr 5 
lec22.pdf 
Manybody problem in quantum mechanics. Exchange interaction. 
Lecture #23 
Apr 7 
lec23.pdf 
Shell structure of atoms. 
Lecture #24 
Apr 10 
lec24.pdf 
Chains of 1D wells. Development of bands of energy. 
Lecture #25 
Apr 12 
lec25.pdf 
Periodic potentials. Dirac comb. Band structure. 
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.
