353 فيز

 

353 Phys (Course Objectives)

 
After completing this course, students will be able to understand:
 
Special relativity
Time dilation and length contraction
Lorentz transformations: x, t to x', t' and E, p to E', p'.
Addition of velocities formula. 
Mass increase. Energy-momentum relationship. 
Energy-mass equivalence. 
Black body radiation:  
Ideas about light interacting with matter: transparency, reflection, etc. 
Stefan's Law.
Wein's displacement law.
What was the "ultraviolet catastrophe", and how Planck resolved it. 
The black body curve and explain the low and high frequency parts.  
The Photoelectric Effect:  
The experiment and what is expected classically on changing light intensity and color, what is actually observed, and how this can be used to find Planck's constant. 
How the photoemitted particles identified? 
Waves and Particles:  
Thomson's measurement of e/m for cathode rays.  
How x-rays were discovered, how their properties were found, how an x-ray tube can be used to find Planck's constant.  
Thomson's model of the hydrogen atom: and why the frequency of radiation emitted depended on the size of the atom. 
Rutherford's scattering experiment and why it implied the existence of a nucleus in atoms. 
Bohr's model of the hydrogen atom; why it explains the Balmer series, and why the correspondence principle fixes the unit of angular momentum quantization.
Electron waves: the interpretation of the wave in terms of the probability of finding the particle at any point. The de Broglie relations, how this explains Bohr's quantization, two-slit diffraction, the expression for eiq in terms of cosq and sinq, the uncertainty relation. How wave packets illustrate the uncertainty principle. Know how the uncertainty principle works in practice (such as looking at an electron with a microscope) and how it relates to minimum electron energies in a box, an atom, or any potential well. 
Schrödinger equation: the one-dimensional time-dependent and time-independent forms, and the time varying factor that multiplies the solution of the time independent equation. Understand how a sum of two solutions with different time dependences can give a time varying probability distribution. to solve the infinite square well, and be able to sketch the essential features of the wave function (approximate wavelength or exponential behavior, and amplitude) for various one-dimensional potentials: finite square well, step, simple harmonic oscillator, tunneling wave function.