COURSE UNIT TITLE

: QUANTUM STATISTICAL MECHANICS

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
PHY 5129 QUANTUM STATISTICAL MECHANICS ELECTIVE 3 0 0 7

Offered By

Graduate School of Natural and Applied Sciences

Level of Course Unit

Second Cycle Programmes (Master's Degree)

Course Coordinator

PROFESSOR HAMZA POLAT

Offered to

PHYSICS
PHYSICS

Course Objective

: Introduction to quantum statistical mechanics. Classification of phase transitions in matter. Approximation methods in statistical mechanics.

Learning Outcomes of the Course Unit

1   It is to understood mainly different between the microscopic and macroscopic physics views
2   Being able to give physical culture the student for following the solid state physics course that is taught in next years.
3   Being able to understand the other graduate courses
4   Being able to research the open problem in the statistical physics field in the literature
5   Being able to present the results that is obtained in this field.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Debye model for the specific heat of a solid, black body radiation
2 Fermi and Bose gases in the dilute limit - corrections to classical theory, degenerate Fermi gas - T=0 properties
3 Degenerate Fermi gas, low temperature expansion and specific heat
4 Pauli paramagnetism of the non-interacting electron gas
5 Landau diamagnetism of the non-interacting electron gas
6 Bose Einstein condensation in an ideal bose gas
7 Bose Einstein condensation - specific heat and entropy
8 Midterm
9 Superfluid 4He, BEC in trapped atomic gases, classical gas with internal degrees of freedom
10 Classical non-ideal gas - the Mayer cluster expansion. Virial expansion for the equation of state, van der Waals theory of the liquid-gas phase transition.
11 Virial expansion for the equation of state, van der Waals theory of the liquid-gas phase transition. Liquid-gas phase transition continued - Maxwell construction and coexistence curve.
12 Liquid-gas phase transition continued - behavior near the critical point, critical exponents; Clausius-Clapeyron relation and Gibbs sum rule
13 The Ising model, magnetic ensembles, spontaneously broken symmetry, phase transitions and the thermodynamic limit. The mean field solution of the Ising model and Landau's theory of 2nd order phase transitions.
14 Exact solution of the 1-d Ising model, Landau-Ginzburg theory and fluctuations about the mean field solution, the upper critical dimension

Recomended or Required Reading

Textbook: Pathria R. K., and Paul D. Beale (2011), Statistical Mechanics , Butterworth-Heinemann, 3th Ed. New York.

References:
1. Huang, Kerson (1987) , Statistical Mechanics 2nd ed. , Wiley, New York.

2. Greiner, W., et al., (2000), Thermodynamics and Statistical Mechanics , Springer, Berlin.

3. Tsang, Tung, (2002), Statistical Mechanics , Rinton Press, New York.

Planned Learning Activities and Teaching Methods

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE MIDTERM EXAM
2 FIN FINAL EXAM
3 FCG FINAL COURSE GRADE MTE * 0.50 + FIN * 0.50
4 RST RESIT
5 FCGR FINAL COURSE GRADE MTE * 0.50 + RST * 0.50


Further Notes About Assessment Methods

None

Assessment Criteria

1. The homework and mid-term exams of the student is assessed as the achievement of them in the semester.
2. At %40 score of final examination is added directly to the others.

Language of Instruction

Turkish

Course Policies and Rules

1. It is obligated to continue at least 70% of lessons.
2. If the student don t make the homework and attend mid-terms, he does not access the final exam

Contact Details for the Lecturer(s)

hamza.polat@deu.edu.tr

Office Hours

Monday and Wednesday between 11:00-12:00 a.m.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 14 3 42
Preparations before/after weekly lectures 12 3 36
Preparation for final exam 1 9 9
Preparation for homework 12 3 36
Preparation for midterm exam 1 12 12
Final 1 2 2
Midterm 1 2 2
Homework 12 3 36
TOTAL WORKLOAD (hours) 175

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10
LO.154
LO.2454
LO.3543
LO.4442
LO.53

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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