第8B講｜The interacting free systems

Описание: 【W10】
☉ The interacting free systems
(Fermions and bosons, quantum statistics, Hamiltonian and Hilbert space of many-particle systems, partition function and grand partition function for free fermions/bosons.)


課程說明
Brief course description

♠ 盡信書不如無書。 – 孟子
♠ 道可道，非常道。 – 老子
Keep throwing out the inessential until the problem becomes trivial. Then go back one step.
– Sam Edwards

The quotes above are very elegant descriptions about the attitude of learning. If one completely believe what a book says, it is better not to read any books. Any books should not become an obstacles for thinking. The second quote says: if a principle can be explicitly described by words, such a principle will not be the eternal principle. Somehow they describe how our understanding evolves as a function of time.

♠ This course will introduce students to one of the pillars of theoretical physics: Statistical Mechanics. Statistical mechanics provides a framework
to understand and describe all macroscopic systems, from a cooling cup of coffee, boiling water to electrons in metals, semiconductors, superconductors, magnets, black holes, … just to name a few. Statistical mechanics is a body of knowledge that establishes the relation between microscopic properties and macroscopic properties of the system, which is essential from both fundamental and application points of view. The course will cover the basic theoretical framework and applications(starting from non-interacting systems, classical gas, and quantum gases(fermions and bosons) . After the study of non-interacting systems, we will discuss the techniques related to interacting systems.


致謝
Acknowledgement
♠ Prof. Christopher Laumann : for allowing us to use the python tutorial scripts.


指定用書
Text Books
1. Statistical Mechanics in a Nutshell, Luca Peliti [Pel11]– Formal approach, might be a little bit
boring.
2. Statistical Mechanics: Volume 5, Landau and Lifshitz – The classic theoretical physics
collection.It’s unfortunate that we cannot discuss with Landau anymore, but his way of
thinking is left in the classic textbook series forever. It’s the textbook we used when I was a
graduate student at CU Boulder.
3. (2nd Edition)Statistical Mechanics: Entropy, Order Parameters, and Complexity: Second Edition
(Oxford Master Series in Physics), James P. Sethna [Set21]– More applications of statistical
mechanics. When you have the question: why should we study statistical mechanics?
You can find various interesting assignments at the end of each chapter.


♠ ♠ ♠更多課程相關資訊!!!
勞請您參閱: 11402物理系黃一平教授統計力學一課程https://reurl.cc/GGMk3y♠ ♠ ♠