Quantum Mechanics. Semester /2015. (Introduction)
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1 EMT 295/3 Quantum Mechanics Semester /2015 (Introduction)
2 EMT 295 Course Outcomes (COs): CO1: Ability to explain the concept and principles of modern physics, quantization and postulates of quantum phenomena and elements of Quantum Mechanics. CO2: Ability to explain, discuss and solve moderate quantum mechanics problems mathematically. CO3: Ability to demonstrate an understanding of the significance of operators, eigenvalue equation, and mixed states in quantum mechanics. Application of Quantum Mechanics to describe entity in a box, step potential, barrier penetration, harmonic oscillator and hydrogen atom.
3 Course Synopsis: This course provides the importance concepts in photonic engineering - Quantum Mechanics:- o Schrödinger picture and Heisenberg picture. Schrödinger equation. o Wave functions. Probability. Measureable quantities. Operators and expectation values. Stationary state. Eigen function and Eigen value. o Particle in a box. Harmonic oscillator. Barrier penetration. Central field problem. Hydrogen atom. o Theories and principles are stressed in this course.
4 EMT 295 Introduction to Modern Physics & Mathemetical tools for Quantum Mechanics (QM) CHAPTER 1: Introduction to QM CHAPTER 2: Postulates of QM CHAPTER 3: One-dimensional problems Extra = Quantum Engineering, Nanotechnology & Quantum World.
5 Weeks Syllabus Chapters 1-2 Introduction Historical perspective and current trends of modern physics towards quantum mechanics Mathematical tools for quantum mechanics. 3-5 CHAPTER 1: INTRODUCTION TO QUANTUM MECHANICS I 1.1 Particle Aspect of Radiation 1.2 Wave Aspect of Particles 1.3 Particle versus Waves 1.4 Nature of the Microscopic World 1.5 Atomic Transition and Spectroscopy 1.6 Quantization Rules 1.7 Wave Packets
6 Weeks Syllabus (Cont.) Chapters 6-9 CHAPTER 2: INTRODUCTION TO QUANTUM MECHANICS II 2.1 Basic postulates of Quantum Mechanics 2.2 Observables and Operators 2.3 Measurement in Quantum Mechanics 2.4 The Schrodinger Equation. 2.5 Relation between Quantum and Classical Mechanics CHAPTER 3: ONE-DIMENSIONAL PROBLEMS 3.1 Properties of 1D Motion 3.2 The free particle / Identical Particles 3.3 Potential steps 3.4 Potential barrier and well 3.5 The finite square well potential 3.6 The Harmonic Oscillation 3.7 Numerical Solution of Schrodinger Equation Additional Sub-Chapters: Quantum Engineering and Trends Nanotechnology and Quantum World.
7 EMT 295 Lecture: 3 hours per week MONDAY: 11am 1pm (Bilik Kuliah Makmal Fotonik Blok 7) TUESDAY: 8.00am -9.00am (Bilik Kuliah Makmal Fotonik Blok 7) # Tutorial Session
8 EMT 295 References: N. Zettili, Quantum Mechanics: Concepts and Applications, John Wiley, D.J. Griffith, Introduction to Quantum Mechanics, Pearson Prentice Hall, 2 nd ed
9 Assessment Continual Assessment: 20 % (Quizzes/Assignment) Mid-Term Examination: 20 % (~ Week-6) Final Examination: 60 %
10 Basics of Quantum Mechanics - Why Quantum Physics? - Classical mechanics (Newton's mechanics) and Maxwell's equations (electromagnetics theory) can explain MACROSCOPIC phenomena such as motion of billiard balls or rockets. Quantum mechanics is used to explain microscopic phenomena such as photon-atom scattering and flow of the electrons in a semiconductor. QUANTUM MECHANICS is a collection of postulates based on a huge number of experimental observations. The differences between the classical and quantum mechanics can be understood by examining both The classical point of view The quantum point of view
11 Basics of Quantum Mechanics - Classical Point of View - In Newtonian mechanics, the laws are written in terms of PARTICLE TRAJECTORIES. A PARTICLE is an indivisible mass point object that has a variety of properties that can be measured, which we call observables. The observables specify the state of the particle (position and momentum). A SYSTEM is a collection of particles, which interact among themselves via internal forces, and can also interact with the outside world via external forces. The STATE OF A SYSTEM is a collection of the states of the particles that comprise the system. All properties of a particle can be known to infinite precision.
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