COURSE UNIT TITLE

: QUANTUM MECHANICS II

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

ASSOCIATE PROFESSOR AYLIN YILDIZ TUNALI

Offered to

Physics

Course Objective

The aim of the course is to give the quantum description of concepts of angular momentum, spin, identical particles including the addition of angular momentum for multiple quantum systems; as well as to gain the ability to use quantum mechanical
principles and some approximation methods such as time-independent perturbation theory in the solution of realistic problems in atom, molecule, solid state and nuclear physics.

Learning Outcomes of the Course Unit

1   To have mastered the concepts of angular momentum and spin, as well as the rules for quantisation and addition of these.
2   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.
3   To have knowledge about matrix formulation of quantum mechanics including spin and to understand the relation between the wave and the matrix mechanics.
4   To have knowledge about what is meant by identical particles and quantum statistics, and to be able to perform calculations on systems of identical particles, for example to determine the symmetry properties of the wave function and total spin.
5   To make account for the phenomena involving spin-orbit coupling such as Zeeman effect and give concise physical interpretations and reasoning underlying the mathematical results based on quantum mechanics.
6   To be able to find solutions for exactly unsolved quantum systems using time independent perturbation approach.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 1. Orbital angular momentum operators, eigenfunctions and eigenvalues.
2 2. Addition of angular momenta, total angular momentum of two or more electrons. Clebsch-Gordan coefficients.
3 3. Three dimensional solutions of Schrödinger wave function in both cartesian and spherical coordinates for free particle.
4 4. Quantum mechanical analysis of motion of a charged particle in a magnetic field. Landau levels.
5 5. Schrödinger equation for two particle systems. Solution of Radial part for Hydrojen atom. Eigenfunctions and eigenvalues of Hydrogen atom.
6 6. FIRST MIDTERM EXAM
7 7. Matrix representations of linear operators. Angular momentum and Pauli spin matrices, wave function of a free particle with spin. Basic matrix algebra. Unitary and similarity transformations in quantum mechanics.
8 8. The magnetic dipol moment, spin precession. Singlet and triplet spin eigenstates.
9 9. Shrödinger and Heisenberg representations in Quantum mechanics.
10 10. Total angular momentum, spin-orbit coupling, fine structure of Hydrogen atom.
11 11. SECOND MIDTERM EXAM
12 12. Pauli principle, non-interacting two particle systems. Slater determinant, periodic table of elements. Hund rules.
13 13. Time-independent nondegenerate and degenerate perturbation theory. Stark effect.
14 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 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

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 11 4 48
Tutorials 11 2 24
Preparations before/after weekly lectures 11 6 60
Preparing assignments 0 0 12
Preparation for midterm exam 2 5 3
Preparation for final exam 1 5 3
Midterm 2 3 3
Final 1 3 3
TOTAL WORKLOAD (hours) 156

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14
LO.15553
LO.25553
LO.35553
LO.45553
LO.55553
LO.65553

CONTACT INFORMATION
Dokuz Eylül Üniversitesi Cumhuriyet Bulvarı No: 144 35210 Alsancak / İZMİR
Phone: +90(232) 412 12 12 - Fax: +90 (232) 464 81 35

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