COURSE UNIT TITLE

: QUANTUM MECHANICS I

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
PHY 3903 QUANTUM MECHANICS I COMPULSORY 4 2 0 7

Offered By

Physics

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

PROFESSOR DOCTOR EROL VATANSEVER

Offered to

Physics

Course Objective

The aim of the course is to understand the principles and concepts of quantum mechanics, such as the Schrödinger equation, the wave function and its statistical interpretation, the uncertainty principle, stationary and non-stationary states, operator, eigenfunction, eigenvalue, time evolution of solutions, expectation values, associated probabilities, significance of measurements and uncertainties. Quantum mechanical interpretation of concepts such as angular momentum, and spin will be given, as well as total angular momentum will be discussed for quantum mechanical systems. Also the course creates mathematical background and to gains students an experience in solution of basic quantum mechanical problems. The materials and skills learned in this course provides a basis for further study of quantum mechanics.

Learning Outcomes of the Course Unit

1   To be able to discuss the fundamental principles of quantum mechanics, and gain a thorough comprehension of the concept of quantum mechanical wave function and its properties.
2   To be able to calculate the expectation values of physical observables, and to give physical interpretation to the uncertainty relations.
3   To be able to obtain eigenvalues and eigenstates using algebraic methods for a quantum system.
4   To be able to solve the Schrödinger equation on your own for simple 3-dimensional and 1-dimensional systems such as free particle, infinite square well, harmonic oscillator, finite square well, step potential, potential barrier both analytically and by using robust numerical methods.
5   Using these solutions to calculate time evolution of physical observables, associated probabilities, expectation values, and uncertainties, as well as to give concise physical interpretations and reasoning underlying the mathematical results.
6   To have mastered the concepts of angular momentum and spin, as well as the rules for quantisation and addition of these.
7   To be able to solve the angular and radial part of Schrödinger equation in spherical coordinates for hydrogen and similar atoms and to calculate the expectation values of observable quantities using these results.
8   To have knowledge about matrix formulation of quantum mechanics including spin and to understand the relation between the wave and the matrix mechanics.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Wave Function, Schrödinger Equation
2 Normalization, Momentum, Uncertainty Principle
3 Time- Independent Schrödinger Equation, Stationary States
4 Harmonic Oscillator, Free Particle, Infinite Square Well
5 Delta-Function Potential, Finite Square Well
6 Observables , Operators, Eingenvalues and Eigenfunctions, Expectation Values
7 Generalized Statistical Interpretation,Uncertainty Principle , Dirac Notation
8 General Overview
9 Quantum Mechanics in Three Dimensions
10 Schrödinger Equation in Spherical Coordinates, Hydrogen Atom
11 Angular Momentum
12 Spin
13 Addition of Angular Momenta, Clebsch-Gordan Coefficients
14 Identical Particles, Two-particle Systems

Recomended or Required Reading

Text Book: Intoduction to Quantum Mechanics, David J. Griffiths, Pearson, 2005.

Reference Books:

1) Principles of Quantum Mechanics, Ramamurti Shankar, Plenum Press, 2011.
2) Introductory to Quantum Mechanics, Richard L. Liboff, Addison-Wesley, 2003.
3) Quantum Physics, S. Gasiorowicz, John Wiley & Sons, 1996.
4) Quantum Physics of Atoms, Molecules, Solids, Nuclei and Particles, R.Eisberg and R. Resnick, John Wiley & Sons, 1985.
5) Quantum Mechanics, Leonard I. Schiff, McGraw-Hill, 1968

Planned Learning Activities and Teaching Methods

1. Lecture Method
2. Question-Answer Technique
3. Discussion Method
4. Problem Solving
5. Homework

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 VZ Vize
2 FN Final
3 BNS BNS VZ * 0.40 + FN * 0.60
4 BUT Bütünleme Notu
5 BBN Bütünleme Sonu Başarı Notu VZ * 0.40 + BUT * 0.60


Further Notes About Assessment Methods

None

Assessment Criteria

1) Students' midterm exams form their success during the semester.
2) Final exam is added to the semester success to form the final semester grade mark.

Language of Instruction

English

Course Policies and Rules

1. Attendance to 70% of course lessons is required.
2. Any attempt of copy will be accompanied with disciplinary investigation.
3. The instructor reserves the right to make practical exams. The grades of these exams will be added to the midterm and final exam grades.

Contact Details for the Lecturer(s)

erol.vatansever@deu.edu.tr

Office Hours

Wednesday at 13:00-14:00

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
TOTAL WORKLOAD (hours) 0

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14
LO.1554112121151
LO.2554112121151
LO.3554112121151
LO.4554112121151
LO.5554112121151
LO.6554112121151
LO.7554112121151
LO.8554112121151

CONTACT INFORMATION
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Phone: +90(232) 412 12 12 - Fax: +90 (232) 464 81 35

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