PH3410 Quantum Physics I ... (3-0-0) s ... 3 Cr

An introduction to the foundations of modern physics and Schrödinger's wave mechanics. Topics include thermal radiation, particle-like properties of radiation, Bohr's model of the atom, matter waves, Schrödinger's wave mechanics, quantization of angular momentum, and the one-electron atom.

Prerequisites: PH2400 and MA3530 Intro. Diff. Equations.

This course is a prerequisite for PH3411, PH4390, PH4395 and PH4430.

Text (Fall, 2004):

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Typical syllabus:
Topics Number of Lectures

Thermal Radiation and Planck's Postulate
    Blackbody Radiation
    Wien's Displacement Law and the Stefan-Boltzmann Law
    Planck's Postulate
    Classical Theory of Cavity Radiation
    Planck's Theory of Cavity Radiation
4

Photons & Particle-like Properties of Radiation
    The Photoelectric Effect
    Einstein's Quantum Theory of the Photoelectric Effect
    The Compton Effect
    Bohr's Complementarity Principle
    X-Ray Production
    Pair Production and Pair Annihilation
    The Attenuation of X-Rays
5

Bohr's Model of the One-Electron Atom
    Rutherford's Nuclear Model
    Atomic Spectra
    Bohr's Postulates
    Atomic Energy States
    Bohr's Correspondence Principle
    The Franck-Hertz Experiment
4

deBroglie's Postulate: Wave-like Properties of Particles
    Matter Waves
    The Wave-Particle Duality
    The Double Slit Experiment
    Wave Packets
    The Uncertainty Principle
4

Schrödinger's Wave Mechanics
    Schrödinger's Time-Dependent Wave Equation
    Schrödinger's Time-Independent Wave Equation
    The Infinite Square Well Potential
    Born's Interpretation of Wave Functions
    Expectation Values
    Properties of Energy Eigenfunctions
      The Finite Square Well Potential
      The Harmonic Oscillator
      The Free Particle
      The Step Potential
      The Barrier Potential and Tunneling
      The Three Dimensional Box

12

Quantization of Angular Momentum
    Central Forces
    The Schrödinger Equation in Spherical Coordinates
    Separation of Variables
    Angular Momentum Quantum Numbers
    Parity
    Observables in Spherical Coordinates
6

One-Electron Atoms
    The Radial Differential Equation
    Solutions of the Radial Equation
    Degeneracy
    Probability Distributions
    Electric Dipole Selection Rules
6
   
Total Number of Lectures: 41

Course Rationale:
The first course of two at the intermediate level in quantum mechanics, one of the well-established core areas of Physics. It provides an in-depth study of quantum mechanics at a higher level of mathematical skill than in the introductory course, introduces new phenomena and topics, and covers material considered essential for an undergraduate physics major and closely related majors. It is a required course for all SPH and SAP majors.


Last Modified: Wednesday, 28-Mar-2007 16:54:11 EDT