基本素養 Basic Literacy

具國際宏觀、社會與人文關懷的公民素養。
同理學院能力代碼B、C、D
To appredate the humanitles, cultivating talent with global perspectives, and to express social concern.
邏輯思考、理性判斷、嚴謹確實、合作創新與尊重學術倫理的科學態度。
同理學院代碼E、F、H
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

基礎物理知識
Basic knowledge of Physics
進階物理知識
advance knowledge of Physics
高階物理知識
Knowledge of Advance Physics
科學實驗、數據分析、與解釋實驗結果的能力
To conduct an experiment, analyze data information and to explain the results of scientific experiments
程式設計與軟體應用的能力
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