統計力學

Quantum Mechanics (5071) and Statsitical Mechanics (5073) are combined classes to teach quantum mechanics. In this classs, I will teach important topics of quantum mechanics, which I will not teach in Quantum Mechanics (5071), in particular,how to use discontinuity of quantum, quantum statistics, boson and fermion (e.g., electron), and so on. Statistical mechanics as well as quantum mechanics (i.e., quantum-statistical mechanics) is the basic scholar of modern science and technologies such as nanotechnologies, quantum computing, information theory, reliability physicsl in engineering... The characteristics of statistical mechanics is to connect concepts of continuity (macroscopic entity) and discontinuity (nanoscopic entity); which enables us to expand knowledge in today's engineering to nanoelectronics and quantum conputing. Statistiacal mechanics is the basics of the transport phenoena in any area of science and technologies. In this course, the Boltzmann transport equaiton is explained in detail, which is the master equation in nanoelectronics. At the end of the course, a neuvel topic of information technology related to statistical mechanics, that is, blockchain will be reviewed in detail. The level of this course is an introductory of quantum-statistical mechanics for engineering students. NOTE: strongly recommend to attend the Quantum Mecchanics (5071), too. I illustrate: 1) What statistical mechanics is. Of course, it is different from statistics in mathmatics. 2) Quantum mechanics is turned out to be a part of statistical mechanics. 3) preliminary approach to quantum many body problem. 4) Blockchain

Physics, Electron devices, Calculus, Linear Algebra

無備註

The lectures will be given in blackboard writing and power point presentation. All reports and questions should be made in English.

學期作業: Lecture, 5 Home Works, Mid-Term Event, Final Report 考試 & 評量(比重%) : Home Work (50%) Mid-Term Event (20%) Final Report (30%)

• Kinetic theory of gases

  Collision of molecules, Pressure of gas, distribution of velocity, average, mean free path, Boltzmann equation, Transportation phenomena

  講授：

  9

• Equilibrium system

  Concept of probability, Liouville’s equation, Ergodic hypothesis, Ensembles of statistical mechanics

  講授：

  6

• Micro canonical ensemble

  Micro canonical distribution, Boltzmann theory, Entropy and amount of information, Fermi-Dirac statistics, Bose-Einstein statistics

  講授：

  9

• Canonical ensemble

  Canonical distribution, Equipartition law of energy, fluctuation of energy, density matrix

  講授：

  9

• Grand canonical ensemble

  Grand canonical distribution, Partition function, fluctuation of particle counts

  講授：

  9

• Interaction

  Molecular field approximation, Bragg-Williams approximation, Crystal, cluster decomposition, phase transition

  講授：

  6

• Non-equilibrium

  Master equation, Brownian motion, Correlation function, linear response theory

  講授：

  6

• Neuvel topic in technology

  Blockchain

  備註：Detail of blockchain is lectured.

Reference books 1) L. D. Landau & E. D. Lifshitz. Statistical Physics. Third Edition, Part 1: Volume 5 2) R. Feynman, R. B. Leighton, and M. Sands. The Feynman Lecture on Physics I§, Pearson & Addison-Wesley, 2005. 3) A. S. Grove, "Physics and technology of semiconductor devices", John Wiley & Sons, 1967.

地點

Office: MISRC814 (EIC814) 電子與資訊研究中心 814

時間

By email appointment Usually late afternoon (after 4pm)

聯絡方式

hwhpnabe@mail.nctu.edu.tw