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
ELECTIVE

Offered By

Physics

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

PROFESSOR DOCTOR MUHAMMED DENIZ

Offered to

Physics

Course Objective

The aim of the course is to understand the central concepts and principles in 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, associated probabilities, expectation values, significance of measurements and uncertainties, as well as to give concise physical interpretations and reasoning underlying the mathematical results. Also to create mathematical background and to gain 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.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 The requirement of Quantum Mechanics: A brief historical development. Blackbody radiation, heat capacity of solids, phonon momentum and Compton scattering of light, Bohr atomic theory.
2 Wave character of massive particles, electron diffraction, de Broglie hypothesis. Gaussian wave packets and Fourier transformations, Heisenberg uncertainty principle.
3 Postulates of quantum mechanics, linear operators. Eigenfunctions and eigenvalues of an operator.
4 Wave function and its statistical interpretation, conservation law for probability. Expectation values. Schrödinger wave function and time evolution of wave function.
5 Plane wave solution for free particle, normalization of a plane wave, Dirac delta function.
6 Dirac representation, Hilbert space. Hermitian operators and properties of Hermitian operators.
7 Superposition principle and commutation relations between operators. Uncertainty principle, a complete set of commuting observables.
8 MIDTERM EXAM
9 Beklenen değerlerin zamanla değişimi. Durağan durumlar. Bazı özel operatörler: parite operatörü, izdüşüm operatörü. The law of conservation of energy, linear and angular momentum. Conservation of parity.
10 Solution of Shrödinger equation in one dimension, continuity conditions. Infinite square well problem.
11 The finite potential well scattering problem.
12 One dimensional step potential, potential barrier and quantum tunelling.
13 Eigenvalues and eigenfunctios of Harmonic oscillator. Correspondence principle. Rising and lowering operators (known as ladder operators). Creation and annihilation operators for Harmonic oscillaor.
14 FINAL EXAM

Recomended or Required Reading

1) Introductory to Quantum Mechanics, Richard L. Liboff, Addison-Wesley, 2003.
2) Intoduction to Quantum Mechanics, David J. Griffiths, Benjamin Cummings, 2004.
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) Kuantum Mekaniği: Temel Kavramlar ve Uygulamaları, Tekin Dereli, Abdullah Verçin, ODTÜ Geliştirme Vakfı Yayıncılık, 2014.
6) Kuantum Mekaniğine Giriş, Bekir Karaoğlu, Seyir Yayıncılık, 2003.

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 MTE 1 MIDTERM EXAM 1
2 MTE 2 MIDTERM EXAM 2
3 FIN FINAL EXAM
4 FCG FINAL COURSE GRADE MTE1 * 0.30 + MTE2 * 0.30 + FIN * 0.40
5 RST RESIT
6 FCGR FINAL COURSE GRADE (RESIT) MTE1 * 0.30 + MTE2 * 0.30 + RST * 0.40


*** Resit Exam is Not Administered in Institutions Where Resit is not Applicable.

Further Notes About Assessment Methods

None

Assessment Criteria

1) Students' midterm exam and homework assignments 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

To be announced.

Contact Details for the Lecturer(s)

aylin.yildiz@deu.edu.tr

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 12 4 48
Tutorials 12 2 24
Preparations before/after weekly lectures 12 5 60
Preparing assignments 12 2 24
Preparation for midterm exam 1 3 3
Preparation for final exam 1 3 3
Midterm 1 3 3
Final 1 3 3
TOTAL WORKLOAD (hours) 168

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14
LO.15545
LO.25545
LO.35545
LO.45545
LO.55545

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

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