## 基本素養 Basic Literacy

To appredate the humanitles, cultivating talent with global perspectives, and to express social concern.

with respect to academic ethics and integrity, to equip oneself with a scientific attitude of logical thinking, rational judgement, discipline and practical, cooperation and innovation.

## 核心能力 Competence

Basic knowledge of Physics

To conduct an experiment, analyze data information and to explain the results of scientific experiments

programing capability

## 課程概述 Course Description

I. Introduction II. Quantum Dynamics: Canonical Quantization and the Photon. III. Path Integral Quantization of Scalar Field and the Condition of Lorentz Covariance. IV. The S matrix of QFT: Feynman Rules and Scattering Amplitudes. V. Loop Calculations and Renormalization. VI. Quantization of Fermions and QED.

## 課程學習目標 Course Objectives

• 瞭解符合特殊相對論的微觀粒子所遵循的方程
• 對一多體系統如何採取量子化的觀念
• 探討引進粒子交互作用下系統的量子化
• ## 課程進度 Course Outline

週次 Week進度說明 Progress Description
1Chapter 1. Quantisation of non-relativistic string: from classical field to quantum operator
2Chapter 1. Quantisation of non-relativistic string:The quanta as particles, field-particle duality, time translation
3Chapter 2. Quantisation of the electromagnetic field: Lorentz transformations, Covariant form of Maxwell's theory, interactions between particles and field
4Chapter 2. Field quantisation, spin of the photon
5Chapter 3. interaction of radiation with matter: time evolution and the S-matrix, decay rates and cross sections
6Chapter 3. interaction of radiation with matter: Atomic decay, the Lamb shift, Deuteron photodisintegration
7Relativistic Equations: The Klein-Gordon equation, solutions for free particles, pair creation from a high Coulomb barrier, two-component form
8Relativistic Equations: The Klein-Gordon equation, Nonrelativistic limit, Coulomb scattering, Negative energy states
9Chapter 5. The Dirac equation: Solutions for free particles, charge conjugation, Coulomb scattering
10Chapter 5. The Dirac equation:negative energy states, non-relativistic limit, Lorentz group, covariance of the Dirac equation
11Chapter 5. The Dirac equation:Bilinear covariance, chirality and massless fermions
12Chapter 7. Second quantisation: Schrodinger theory, identical particles, charged Klein-Gordon theory, Dirac Theory, Interactions
13Chapter 8. Symmetries I: Noether's theorem, translations, transformations of states and operators
14Chapter 8. Symmetries I: parity, charge conjugation, time reversal, the PCT theorem
15Chapter 9. Interacting Field theories: phi^3 theory, relativistic decays, scattering, Feynman rules
16Chapter 9. Calculation of the cross section, effective non-relativistic potential, identical particles
17Chapter 9. Pion-nucleon interactions and isospin, one-pion exchange, electroweak decays
18期末考
以上每週進度教師可依上課情況做適度調整。The schedule may be subject to change.

## 有關課程其他調查 Other Surveys of Courses

1.本課程是否規劃業界教師參與教學或演講? 否
Is there any industry specialist invited in this course? How many times? No
2.本課程是否規劃含校外實習(並非參訪)? 否
Are there any internships involved in the course? How many hours? No