Course Information
SemesterCourse Unit CodeCourse Unit TitleL+PCreditNumber of ECTS Credits
7MATH401QUANTUM MECHANICS3+036

Course Details
Language of Instruction English
Level of Course Unit First Cycle
Department / Program MATHEMATICS
Mode of Delivery Face to Face
Type of Course Unit Elective
Objectives of the Course The aim of the course is to give the student the ability of understanding the mathematical aspects of quantum mechanics.
Course Content Fundamental concepts. Kets, Bras, and operators. Measurements, observables. Uncertainty relations. Position and momentum space. Quantum dynamics. Time evolution and Schrödinger equation. The Schrödinger and Heisenberg picture. Simple harmonic oscillator. Schrödinger’s wave equation. Propagators and Feynman path integral. Potentials and gauge transformations. Rotations and angular momentum. Spin. Rotation group. The density operator. Identical particles. Quantum statistics. Symmetries in quantum mechanics. Scattering theory.
Course Methods and Techniques
Prerequisites and co-requisities None
Course Coordinator None
Name of Lecturers Prof.Dr. İSMAİL HAKKI DURU
Assistants None
Work Placement(s) No

Recommended or Required Reading
Resources Introduction to Quantum Mechanics,David griffths,ISBN-10: 0131118927

Course Category

Planned Learning Activities and Teaching Methods
Activities are given in detail in the section of "Assessment Methods and Criteria" and "Workload Calculation"

Assessment Methods and Criteria
In-Term Studies Quantity Percentage
Midterm exams 2 % 60
Quizzes 0 % 0
Homeworks 0 % 0
Other activities 0 % 0
Laboratory works 0 % 0
Projects 0 % 0
Final examination 1 % 40
Total
3
% 100

ECTS Allocated Based on Student Workload
Activities Quantity Duration Total Work Load
Weekly Course Time 1 42 42
Exams and Exam Preparations 1 178 178
Total Work Load   Number of ECTS Credits 7 220

Course Learning Outcomes: Upon the successful completion of this course, students will be able to:
NoLearning Outcomes
1 To be able to apply Mathematical methods to the Quantum mechanics
2 To be able to express physical problems in terms of bra-ket notation.
3 To be able to solve one and three dimesional Schrodinger equation for some special potenmtials
4 To solve the rotation and angular momentum problems.


Weekly Detailed Course Contents
WeekTopicsStudy MaterialsMaterials
1 Fundamental concepts. Kets, Bras, and operators
2 Measurements, observables. Uncertainty relations.
3 Position and momentum space. Quantum dynamics
4 Time evolution and Schrödinger equation. The Schrödinger and Heisenberg picture.
5 Simple harmonic oscillator.
6 Midterm exam I
7 Schrödinger’s wave equation
8 Propagators and Feynman path integral
9 Potentials and gauge transformations
10 Rotations and angular momentum
11 Spin. Rotation group. The density operator.
12 Midterm exam II
13 Identical particles. Quantum statistics.
14 Symmetries in quantum mechanics. Scattering theory.
15 Final 1st week
16 Final 2nd week


Contribution of Learning Outcomes to Programme Outcomes
P1 P2 P3 P4 P5 P6 P7 P8 P9 P10 P11 P12 P13 P14
C1 4 4 3
C2 4 3 3
C3 4 3 3
C4 4 4 3

Contribution: 0: Null 1:Slight 2:Moderate 3:Significant 4:Very Significant


https://obs.iyte.edu.tr/oibs/bologna/progCourseDetails.aspx?curCourse=163232&lang=en