Course Information
SemesterCourse Unit CodeCourse Unit TitleL+PCreditNumber of ECTS Credits

Course Details
Language of Instruction English
Level of Course Unit First Cycle
Department / Program PHYSICS
Mode of Delivery Face to Face
Type of Course Unit Compulsory
Objectives of the Course 1.To teach the “wave mechanics” formulation of quantum physics that describes the dynamics of particles in cases where the classical Newtonian mechanics is not valid.
2.To demonstrate the solutions of Schrödinger equation for a single particle in simple cases
3.To introduce quantum mechanical concepts such as, “wave function”, “operator”, “spin”, etc.
4.To teach fundamental properties of many-particle systems in quantum mechanics.
Course Content The wave function and probability; applications of time-idependent Schroedinger equation to one-dimensional problems including potential well, harmonic oscillator and free particle; applications of Schroedinger equation to three-dimensional problems including hydrogen atom, angular momentum, spin and addition of angular momenta; identical particles with applications.
Course Methods and Techniques
Prerequisites and co-requisities None
Course Coordinator None
Name of Lecturers Prof.Dr. R.TUĞRUL SENGER
Assistants None
Work Placement(s) No

Recommended or Required Reading
Resources - Ramamurti Shankar, “Principles of Quantum Mechanics”, Plenum Press, 1991
- R. Eisberg, R. Resnick “Quantum Physics”, John Wiley & Sons, 1985.
David J. Griffiths, “Introduction to Quantum Mechanics”, Prentice-Hall, 2005

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 % 50
Quizzes 0 % 0
Homeworks 8 % 20
Other activities 0 % 0
Laboratory works 0 % 0
Projects 0 % 0
Final examination 1 % 30
% 100

ECTS Allocated Based on Student Workload
Activities Quantity Duration Total Work Load
Weekly Course Time 14 4 56
Outside Activities About Course (Attendance, Presentation, Midterm exam,Final exam, Quiz etc.) 14 8 112
Application (Homework, Reading, Self Study etc.) 6 2 12
Exams and Exam Preparations 3 10 30
Total Work Load   Number of ECTS Credits 7 210

Course Learning Outcomes: Upon the successful completion of this course, students will be able to:
NoLearning Outcomes
1 To be able to write down the Schrödinger equation that describes the dynamics of quantum particles, and to interprete it.
2 To be able to use the Schrödinger equation to express the relation of the “wave function” of a particle to its physical properties (such as position, momentum and energy) and to calculate them for simple cases (PO1, PO2, PO5)
3 To be able to solve the “time independent Schrödinger equation” in one dimension for simple potentials. (PO2, PO3)
4 To be able to express the formal structure of quantum mechanics using the concepts like “operator”, wave function”, “observable”, and “eigenvalue”. (PO1, PO2)
5 To be able to solve the Schrödinger equation in three dimensions for systems such as Hydrogen atom. (PO2, PO3)
6 To be able write down the “many-particle wave function” of identical quantum particles, and to solve it for simple cases. (PO1, PO2)
7 To be able to grasp the transition amplitudes as a sum over paths.(PO1, PO2)

Weekly Detailed Course Contents
WeekTopicsStudy MaterialsMaterials
1 The Schrödinger Wave Equation, The Wave Function and Its Interpretation
2 Time-independent Schrödinger Equation and its solution for the infinite square well, harmonic oscillator potential.
3 Solution of Schrodinger Equation for finite quantum well potential and free particle.
4 Formalism: Hilbert Space, observables and Hermitian operators, eigenvalues and eigenfunctions of Hermitian Operators
5 Formalism: Generalized statistical interpretation, quantum uncertainty principle
6 Quantum Mechanics in Three Dimensions
7 Angular Momentum
8 Hydrogen Atom
9 Spin Angular Momentum
10 Addition of angular momenta.
11 Identical Particles, Quantum statistical mechanics.
12 Identical Particles, Quantum statistical mechanics.
13 Path integral formulation of quantum mechanics
14 Path integral formulation of quantum mechanics

Contribution of Learning Outcomes to Programme Outcomes
P1 P2 P3 P4 P5 P6 P7 P8 P9 P10
C1 2
C2 2 2 2
C3 2
C4 3 3
C5 2 2
C6 2 2

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