Information Package / Course Catalogue
Perturbation Applications in Physical Systems
Course Code: FİZ441
Course Type: Area Elective
Couse Group: First Cycle (Bachelor's Degree)
Education Language: Turkish
Work Placement: N/A
Theory: 3
Prt.: 0
Credit: 3
Lab: 0
ECTS: 4
Objectives of the Course

Introduction to perturbation theory which is the one of the most important approximation methods in physics

Course Content

Application of perturbation expansion to the differential equations, Lagrange expansion and its applications , Perturbation in classical mechanics and quantum mechanics.

Name of Lecturer(s)
Learning Outcomes
1.Can make approximate solutions of nonlinear differential equations using the perturbation method.
2.Can provide approximate solutions to systems that cannot be solved exactly in classical mechanics, using the perturbation method.
3.Can approximate the solution of systems that cannot be solved exactly in quantum mechanics by using the perturbation method.
4.Can distinguish nonlinear equations.
5.Can solve physics problems involving nonlinear equations.
Recommended or Required Reading
1.Quantum Mechanics (Tekin Dereli, Abdullah Verçin)
2.Introduction to Quantum Mechanics ( David J. Griffiths )
3.Introduction to Perturbation Theory in Quantum Mechanics (F.M. Fernandez)
Weekly Detailed Course Contents
Week 1 - Theoretical
What is perturbation ?
Week 2 - Theoretical
Perturbation expansion
Week 3 - Theoretical
Application of perturbation expansion to the differential equations
Week 4 - Theoretical
Lagrange expansion
Week 5 - Theoretical
Applications of Lagrange expansion
Week 6 - Theoretical
Perturbation on boundary value problem
Week 7 - Theoretical
Perturbation in classical mechanics
Week 8 - Theoretical
Anharmonic oscillator (Midterm Exam)
Week 9 - Theoretical
WKB approximation
Week 10 - Theoretical
Time-independent perturbation in quantum mechanics
Week 11 - Theoretical
Selection rules
Week 12 - Theoretical
Perturbation in degenerative systems
Week 13 - Theoretical
Time dependent perturbation
Week 14 - Theoretical
Periodic perturbation and Fermi’s golden rule
Assessment Methods and Criteria
Type of AssessmentCountPercent
Assignment1%5
Quiz1%5
Midterm Examination1%30
Final Examination1%60
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory140342
Assignment1505
Midterm Examination119221
Final Examination130232
TOTAL WORKLOAD (hours)100
Contribution of Learning Outcomes to Programme Outcomes
PÇ-1
PÇ-2
PÇ-3
PÇ-4
PÇ-5
PÇ-6
PÇ-7
PÇ-8
PÇ-9
PÇ-10
PÇ-11
OÇ-1
3
3
3
3
3
3
3
OÇ-2
3
3
3
3
2
2
2
2
OÇ-3
3
3
3
3
2
4
5
5
OÇ-4
2
2
2
OÇ-5
4
4
4
4
Adnan Menderes University - Information Package / Course Catalogue
2026