PHYS 451: Quantum Mechanics I (Fall 2014)
Location & Contact Info
Instructor: Sergiy Bubin
Lecture Hours: TR 9:00 AM  10:15 AM at room 8.317
Recitations: T 12:00 PM  1:15 PM at room 7.517
Office Hours: TR 14:0015:00 at 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 quantummechanical operators, wave functions, Hilbert spaces, Heisenberg uncertainty principle, Heisenberg and Schrödinger formulations of quantum mechanics and their interpretation in terms of physical observations. The course further covers the topics of potential wells, potential barriers, quantum harmonic oscillator, and the hydrogen atom. 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 at the introductory level,
some can be found in the library, and can also be very useful in this course.
Students are encouraged to explore those. Examples 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 Submission Guidelines
The submission of only answers is not acceptable. Homework must show
sufficient proof that a derivation of the solution was carried out.
Any student wishing to have the best possible grades on homework returned must:
 Staple pages together and clearly indicate problem numbers
 Turn in neat and readable homework as points may be deducted otherwise
 Show work! Solutions or answers turned in without explanation will not receive full credit
Homework submission in paper form is strongly preferred. However, electronic submissions
via email (e.g. a pdf file of scanned pages) are acceptable for those students who are
away or must miss a class when the homework is due.
Homework Assignments
Quizzes
Exams
Lecture Materials
Warning: Lecture materials provided below may be inclomplete
and are no substitute for notes taken in class or textbook materials
Lecture
 Date
 File
 Topic

Lecture #1 
Aug 19 
lec01.pdf 
Historical overview and timeline of quantum mechanics. Schrödinger equation and its basic properties. 
Lecture #3 
Aug 26 
lec03.pdf 
Uncertainty principle. Uncertainty principle at work in the ground state of hydrogen. Stationary states. Particle in the infinite 1D square well. 
Lecture #4 
Aug 28 
lec04.pdf 
Quantum harmonic oscillator (solution with the power series method).
Some useful plots can be viewed here. 
Lecture #5 
Sep 2 
lec05.pdf 
Commutators. Quantum harmonic oscillator (solution using lowering and raising operators). 
Lecture #6 
Sep 4 
lec06.pdf 
Probability current. Free particle in 1D. 
Lecture #7 
Sep 9 
lec07.pdf 
Review of the Dirac delta function. Delta function potential well and potential barrier. 
Lecture #9 
Sep 16 
lec09.pdf 
Finite square well. 
Lecture #10 
Sep 23 
lec10.pdf 
Formalism of quantum mechanics and its postulates. 
Lecture #13 
Oct 7 
lec13.pdf 
Dirac (braket) notation. 
Lecture #14 
Oct 9 
lec14.pdf 
Schrödinger equation in 3D. Separation of variables for spherically symmetric potentials. 
Lecture #15 
Oct 21 
lec15.pdf 
The hydrogenlike atom. 
Lecture #16 
Oct 23 
lec16.pdf 
Commutation relations for the angular momentum. The ladder operator method. 
Lecture #17 
Oct 28 
lec17.pdf 
Matrix representation of the angular momentum operator. 
Lecture #18 
Nov 4 
lec18.pdf 
The rigid rotor. 
Lecture #19 
Nov 6 
lec19.pdf 
Addition of angular momenta. ClebschGordan coefficients. 
Lecture #20 
Nov 11 
lec20.pdf 
Spin. 
Lecture #21 
Nov 13 
lec21.pdf 
Properties of Pauli matrices. Electron in magnetic field. Larmor precession of spin. 
Lecture #22 
Nov 15 
lec22.pdf 
SternGerlach experiment. 
Lecture #23 
Nov 25 
lec23.pdf 
Manybody problem in quantum mechanics. Identical particles 
Lecture #24 
Nov 27 
lec24.pdf 
Exchange interaction. Independent electron approximation for atoms. Shell structure. 
Lecture #25 
Dec 2 
lec25.pdf 
Periodic potentials. Band structure. 
Found an error on this page or in any of the pdf files? Send an email to the instructor.
