### Statistical Mechanics I University of Tsukuba

#### Course Overview

This lecture begins with a review of basic concepts of statistical mechanics (partition functions, black body radiation, specific of crystal, ideal quantum gas, Fermi-Dirac distribution, Bose-Einstein distribution, etc.), followed by the formulation of statistical mechanics in terms of the density matrix which is an essential tool for dealing with quantum-mechanical many-body systems. Then, we discuss the Wigner function and the perturbation expansion.

#### Learning Achievement

Confirming the basic concept of statistical mechanics, and understanding the formulation to statistical mechanics by density matrix description

#### Competence

This course corresponds to the educational objectives basic ability required to be an independent researcher or engineer and basic ability essential to practical engineering.

#### Course prerequisites

Knowledge of the basics of quantum and statistical mechanics.

#### Grading Philosophy

Grades will be determined on the basis of assignments and occasional quizzes given during the classes.

#### Course schedule

This lecture begins with a review of basic concepts of statistical mechanics (partition functions, black body radiation, specific heat of crystal, ideal quantum gases, Fermi-Dirac distribution, Bose-Einstein distribution, etc.), followed by the formulation of statistical mechanics in terms of the density matrix which is an essential tool for dealing with quantum-mechanical many-body systems. Then, we discuss the Wigner function and the perturbation expansion.(course schedule)

1. Basic statical mechanics (1): distribution function

2. Basic statical mechanics (2): blackbody radiation, lattice vibration

3. Basic statical mechanics (3): specific heat, Mossbauer effect

4. Basic statical mechanics (4): quantum statistical mechanics in many body system

5. Basic statical mechanics (5): Bose gas and Fermi gas

6. Density matrix (1): basic of the density matrix

7. Density matrix (2): the density matrix in statical mechanics

8. Density matrix (3): examples of the density matrix

9. Density matrix (4): Wigner function, symmetrized density matrix, partial density matrix

10. Density matrix (5): perturbation theory of density matrix

#### Course type

Lectures

#### Online Course Requirement

#### Instructor

Hada Masaki

#### Other information

#### Site for Inquiry

Link to the syllabus provided by the university