Course Name Code Semester T+U Hours Credit ECTS
Advanced Quantum Mechanics FIZ 501 0 3 + 0 3 6
Precondition Courses
Recommended Optional Courses
Course Language Turkish
Course Level yuksek_lisans
Course Type Compulsory
Course Coordinator Prof.Dr. YUSUF ATALAY
Course Lecturers Prof.Dr. YUSUF ATALAY,
Course Assistants Teaching Assistants of Physics Department.
Course Category
Course Objective With this course, to have the students understood the fundamental topics of quantum mechanics and to have them gained the knowledge and accomplishment of advanced quantum mechanics.
Course Content The basic concepts and postulations of quantum mechanics, Mean-value in quantum mechanics, Energy and momentum: Hamiltons operator, The differentiation of operators with respect to time, Matrices, Principle of uncertainty, Schrödinger´s equation and its properties, Schrödinger´s equation for a particle moving free, The current density, Eigenvalues and eigenfunctions of the angular momentum, Addition of angular momenta, Motion in a centrally symmetric field
# Course Learning Outcomes Teaching Methods Assessment Methods
1 List the fundamental concepts of quantum mechanics and describes. Lecture, Question-Answer, Drilland Practice, Problem Solving, Testing, Homework,
2 List the postulates of quantum mechanics and describe. Lecture, Question-Answer, Drilland Practice, Problem Solving, Testing, Homework,
3 Knows how the mean value is derived in quantum mechanics. Lecture, Question-Answer, Drilland Practice, Problem Solving, Testing, Homework,
4 Outlines the relationship between energy and momentum. Lecture, Question-Answer, Drilland Practice, Problem Solving, Testing, Homework,
5 Derives an expression for the differentiation of operators with respect to time and apply to problems in quantum mechanics. Lecture, Question-Answer, Drilland Practice, Problem Solving, Testing, Homework,
6 Knows sufficiently the theory of angular momentum and spin. Lecture, Question-Answer, Drilland Practice, Problem Solving, Testing, Homework,
7 Explains what Heisenberg uncertainty principle means and proves how it has been derived. Lecture, Question-Answer, Drilland Practice, Problem Solving, Testing, Homework,
8 Writes Scrödinger equation for a particle moving freely and explains its features. Lecture, Question-Answer, Drilland Practice, Problem Solving, Testing, Homework,
9 Indicates a conserved quantity of angular momentum leading from the isotropic properties of the space indicates In a closed system. Lecture, Question-Answer, Drilland Practice, Problem Solving, Testing, Homework,
10 Calculate the eigenvalues and eigenfunctions of the angular momentum. Lecture, Question-Answer, Drilland Practice, Problem Solving, Testing, Homework,
Week Course Topics Preliminary Preparation
1 The basic concepts and postulations of quantum mechanics 1-26
2 Mean-value in quantum mechanics 25-35
3 Energy and momentum: Hamiltons operator 33-35
4 The differentiation of operators with respect to time 35-38
5 Matrices 42-52
6 Principle of uncertainty 52-68
7 Schrödinger´s equation and its properties 75-79
8 Schrödinger´s equation for a particle moving free 75-79
9 MIDTERM EXAM
10 The current density 83-87
11 Eigenvalues and eigenfunctions of the angular momentum 129-144
12 Addition of angular momenta 145-155
13 Motion in a centrally symmetric field 159-175
14 Aplication problems 48
Resources
Course Notes
Course Resources
Order Program Outcomes Level of Contribution
1 2 3 4 5
1 Using the knowledge of undergraduate and graduate education in postgraduate level. X
2 To be able to improve themselves by following the innovations in the field of Physics which are important in the development of science and technology. X
3 To be able to make literature search, presentation, experimental setup preparation, application and explication of results. X
4 To be able to join interdisciplinary and multidisciplinary team works.
5 Sharing their concepts in seminar, symposium, conference etc. by using the skills of self-study.
6 Having the scientific and vocational wafer and defending this apprehension in every medium.
Evaluation System
Semester Studies Contribution Rate
1. Ödev 100
Total 100
1. Yıl İçinin Başarıya 50
1. Final 50
Total 100
ECTS - Workload Activity Quantity Time (Hours) Total Workload (Hours)
Course Duration (Including the exam week: 16x Total course hours) 16 3 48
Hours for off-the-classroom study (Pre-study, practice) 16 3 48
Mid-terms 1 10 10
Assignment 2 10 20
Final examination 1 15 15
Total Workload 141
Total Workload / 25 (Hours) 5.64
dersAKTSKredisi 6