COURSE INTRODUCTION AND APPLICATION INFORMATION


Course Name
Quantum Mechanics I
Code
Semester
Theory
(hour/week)
Application/Lab
(hour/week)
Local Credits
ECTS
PHYS 307
Fall
2
2
3
6
Prerequisites
None
Course Language
English
Course Type
Required
Course Level
First Cycle
Mode of Delivery -
Teaching Methods and Techniques of the Course
Course Coordinator
Course Lecturer(s)
Assistant(s) -
Course Objectives The aim of the course is to introduce students to the principles of quantum mechanics, as well as the physical phenomena that can only be understood through the laws of quantum physics. In addition, this course serves as an introduction to the mathematical foundations of the quantum theory.
Learning Outcomes The students who succeeded in this course;
  • will be able to discuss the fundamental principles of quantum mechanics and its important applications.
  • will be able to analyze the Schrödinger’s wave equation, some of its possible analytical solutions, and their physical meanings.
  • will be able to solve the one-dimensional potential problems encountered in quantum physics.
  • will gain a thorough comprehension of the concepts of angular momentum and spin in quantum mechanics.
  • will be able to investigate the physical structure of the hydrogen atom using the laws of quantum physics.
  • will develop a familiarity with the concept of identical particles in quantum mechanics.
Course Description In this course, we will cover the subjects of Schrödinger’s wave equation, eigenvalues and eigenfunctions, one-dimensional potentials, general properties of wave mechanics, uncertainty principle, operator methods in quantum mechanics, many-particle systems, Schrödinger’s equation in three dimensions, angular momentum, spin, and the hydrogen atom.
Related Sustainable Development Goals

 



Course Category

Core Courses
X
Major Area Courses
Supportive Courses
Media and Managment Skills Courses
Transferable Skill Courses

 

WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES

Week Subjects Required Materials
1 Birth of Quantum Mechanics Quantum Mechanics I The Fundamentals, S. Rajasekar, R. Velusamy (Chapter 1)
2 Schrödinger’s Equation and The Wave Function Quantum Mechanics I The Fundamentals, S. Rajasekar, R. Velusamy (Chapter 2) and Introduction to Quantum Mechanics 2nd Ed., David Griffiths (Chapter 1)
3 Operators, Eigenvalues and Eigenfunctions Quantum Mechanics I The Fundamentals, S. Rajasekar, R. Velusamy (Chapter 3)
4 Time-independent Schrödinger’s Equation and One-dimensional Potentials Quantum Mechanics I The Fundamentals, S. Rajasekar, R. Velusamy (Chapter 4) and Introduction to Quantum Mechanics 2nd Ed., David Griffiths (Chapter 2)
5 One-dimensional Potentials Quantum Mechanics I The Fundamentals, S. Rajasekar, R. Velusamy (Chapter 5) and Introduction to Quantum Mechanics 2nd Ed., David Griffiths (Chapter 2)
6 Mathematical Tools for Quantum Mechanics Quantum Mechanics I The Fundamentals, S. Rajasekar, R. Velusamy (Chapter 6) and Introduction to Quantum Mechanics 2nd Ed., David Griffiths (Chapter 3)
7 The Uncertainty Principle Quantum Mechanics I The Fundamentals, S. Rajasekar, R. Velusamy (Chapter 8)
8 Review of the First Half of the Course Quantum Mechanics I The Fundamentals, S. Rajasekar, R. Velusamy (Chapter 1-8) and Introduction to Quantum Mechanics 2nd Ed., David Griffiths (1-3)
9 Schrödinger, Heisenberg and Interaction Pictures, and Density Matrix Formulation Quantum Mechanics I The Fundamentals, S. Rajasekar, R. Velusamy (Chapter 7)
10 Quantum Mechanics in Three Dimensions Introduction to Quantum Mechanics 2nd Ed., David Griffiths (Chapter 4)
11 Angular Momentum in Quantum Mechanics Quantum Mechanics I The Fundamentals, S. Rajasekar, R. Velusamy (Chapter 11) and Introduction to Quantum Mechanics 2nd Ed., David Griffiths (Chapter 4)
12 Spin Quantum Mechanics I The Fundamentals, S. Rajasekar, R. Velusamy (Chapter 11) and Introduction to Quantum Mechanics 2nd Ed., David Griffiths (Chapter 4)
13 Hydrogen Atom Quantum Mechanics I The Fundamentals, S. Rajasekar, R. Velusamy (Chapter 12) and Introduction to Quantum Mechanics 2nd Ed., David Griffiths (Chapter 4)
14 Identical Particles Quantum Mechanics I The Fundamentals, S. Rajasekar, R. Velusamy (Chapter 18) and Introduction to Quantum Mechanics 2nd Ed., David Griffiths (Chapter 5)
15 Review of the Semester Quantum Mechanics I The Fundamentals, S. Rajasekar, R. Velusamy (Chapter 1-12) and Introduction to Quantum Mechanics 2nd Ed., David Griffiths (Chapter 1-5)
16 Final Exam
Course Notes/Textbooks

Quantum Mechanics I The Fundamentals, S. Rajasekar, R. Velusamy

Suggested Readings/Materials

Introduction to Quantum Mechanics 2nd Ed., David Griffiths

 

EVALUATION SYSTEM

Semester Activities Number Weigthing
Participation
1
10
Laboratory / Application
Field Work
Quizzes / Studio Critiques
Portfolio
Homework / Assignments
10
30
Presentation / Jury
Project
Seminar / Workshop
Oral Exam
Midterm
1
25
Final Exam
1
35
Total

Weighting of Semester Activities on the Final Grade
12
65
Weighting of End-of-Semester Activities on the Final Grade
1
35
Total

ECTS / WORKLOAD TABLE

Semester Activities Number Duration (Hours) Workload
Course Hours
(Including exam week: 16 x total hours)
16
2
32
Laboratory / Application Hours
(Including exam week: 16 x total hours)
16
2
Study Hours Out of Class
16
3
48
Field Work
Quizzes / Studio Critiques
Portfolio
Homework / Assignments
2
Presentation / Jury
Project
Seminar / Workshop
Oral Exam
Midterms
1
20
Final Exams
1
28
    Total
160

 

COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP

#
Program Competencies/Outcomes
* Contribution Level
1
2
3
4
5
1

To be able master and use fundamental phenomenological and applied physical laws and applications,

X
2

To be able to identify the problems, analyze them and produce solutions based on scientific method,

X
3

To be able to collect necessary knowledge, able to model and self-improve in almost any area where physics is applicable and able to criticize and reestablish his/her developed models and solutions,

X
4

To be able to communicate his/her theoretical and technical knowledge both in detail to the experts and in a simple and understandable manner to the non-experts comfortably,

X
5

To be familiar with software used in area of physics extensively and able to actively use at least one of the advanced level programs in European Computer Usage License,

X
6

To be able to develop and apply projects in accordance with sensitivities of society and behave according to societies, scientific and ethical values in every stage of the project that he/she is part in,

7

To be able to evaluate every all stages effectively bestowed with universal knowledge and consciousness and has the necessary consciousness in the subject of quality governance,

8

To be able to master abstract ideas, to be able to connect with concreate events and carry out solutions, devising experiments and collecting data, to be able to analyze and comment the results,

X
9

To be able to refresh his/her gained knowledge and capabilities lifelong, have the consciousness to learn in his/her whole life,

X
10

To be able to conduct a study both solo and in a group, to be effective actively in every all stages of independent study, join in decision making stage, able to plan and conduct using time effectively.

X
11

To be able to collect data in the areas of Physics and communicate with colleagues in a foreign language ("European Language Portfolio Global Scale", Level B1).

X
12

To be able to speak a second foreign at a medium level of fluency efficiently

13

To be able to relate the knowledge accumulated throughout the human history to their field of expertise.

*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest