Using line integrals to find the work done on a particle moving through a vector field.
Fundamentals of Physics, II (PHYS 201) The double slit experiment, which implies the end of Newtonian Mechanics is described. The de Broglie relation between wavelength and momentum is deduced from experiment for photons and electrons. The photoelectric effect and Compton scattering, which provided experimental support for Einstein's photon theory of light are reviewed. The wave function is introduced along with the probability interpreta...more
Fundamentals of Physics, II (PHYS 201) It is shown how to extract the odds for getting different values of momentum from a generic wave function by writing it as a sum over functions of definite momentum. A recipe is given for finding states of definite energy, which requires solving a differential equation that depends on what potential the particle is experiencing. The particle in a box is considered and the allowed energies derived. 0...more
In this lecture Professor Sylvia Ceyer moves on from the wavelike properties of light, to the particle-like nature of light. To do so she covers the photoelectric effect in detail, discussing threshold frequency and kinetic energy vs. frequency. Planck's constant is discussed. The lectures concludes with a discussion of photon momentum and its relation to wavelength.
The discussion of four-vector in relativity continues but this time the focus is on the energy-momentum of a particle. The invariance of the energy-momentum four-vector is due to the fact that rest mass of a particle is invariant under coordinate transformations.
Fundamentals of Physics, II (PHYS 201) The fact that the wave function provides the complete description of a particle's location and momentum is emphasized. Measurement collapses the wave function into a spike located at the measured value. The quantization of momentum for a particle on a ring is deduced. 00:00 - Chapter 1. Review of the Particle Wave Function 11:21 - Chapter 2. Particle on a Ring 56:25 - Chapter 3. The Measurement Post...more
Fundamentals of Physics, II (PHYS 201) The allowed energy states of a free particle on a ring and a particle in a box are revisited. A scattering problem is studied to expose more quantum wonders: a particle can tunnel into the classically forbidden regions where kinetic energy is negative and a particle incident on a barrier with enough kinetic energy to go over it has a nonzero probability to bounce back. 00:00 - Chapter 1. Review of W...more