Guided Study: A Quick Run Through Classical
and Quantum MechanicsMsc Student: Alan Leung Shek Lun
Advisor: Professor Hui Pak Ming
OutlineClassical Mechanics (mass-spring system)
1. Newton’s laws of motion2. Momentum3. Work-energy Theorem4. Potential Energy and force
(relation)5. Harmonic Oscillator6. Lagrangian Mechanics and
Hamiltonian Mechanics
Quantum Mechanics1. Schrodinger Equation2. Typical 1D problems3. Typical 2D and 3D problems
and their key features4. Quantum Harmonic Oscillator
Classical Mechanicsmass-spring system
Newton’s law of motion
Newton's law of motion
Newton’s law of motion
Relation of Force and Potential Energy
Work and Energy Theorem
Total Mechanical Energy
Conservation of Energy
Boundary Condition
Phase Diagram of momentum and position
Lagrangian Mechanics
Euler-Lagrange Equation
Hamiltonian Mechanics
Conservation of Energy
Total Mechanical Energy
5 postulates in Quantum Mechanics
Quantum MechanicsSchrodinger Equation
For harmonic oscillator, it can be expressed as
Quantum MechanicsTypical 1D problem
Particle in an infinite well
Finite Potential Well (bound states)
Simulation
The one dimensi onal particle in a Box
Simulation
Superposition States in an infinite square well
Quantum Mechanics2D and 3D problems and their key features
Simulation
Energy Eigenfunction of the two dimensional infinite well
Quantum MechanicsHarmonic Oscillator
Ladder Operator Method
Quantum Harmonic Oscillator Energy level