PHY 711 Classical Mechanics and Mathematical Methods

MWF 10 AM-10:50 AM OPL 103 https://www.wfu.edu/~natalie/f24phy711/

Instructor: Natalie Holzwarth Office:300 OPL e-mail:natalie@wfu.edu



Project

The purpose of this assignment is to provide an opportunity for you to study a topic of your choice in greater depth. The general guideline for your choice of project is that it should have something to do with classical mechanics, and there should be some degree of of analytic or numerical computation associated with the project. The completed project will include a short write-up and a presentation to the class. You may design your own project or use one of the following list (which will be updated throughout the term).

  • Explain the details of a homework problem that was assigned or one you design, including the basic principles and the solution methods and results.
  • Consider a scattering experiment in which you specify the spherically symetric interaction potential V(r). Write a computer program (using your favorite language) to evaluate the scattering cross section for your system. (Depending on your choice, you may wish to present your results either in the the center-of-mass or lab frames of reference.)
  • Consider the Foucoult Pendulum. Analyze the equations of motion including both the horizontal and vertical motions. You can either solve the equations exactly or use perturbation theory. Compare the effects of the vertical motion to the effects of air friction.
  • Consider a model system of 2 or more interacting particles with appropriate initial conditions, using numerical methods to find out how the system evolves in time and space. For few particles and special initial conditions this approach can be used to explore orbital mechanics. For many particles and random initial conditions, this approach can be used to explore statistical mechanics via molecular dynamics simulations.
  • Examine the normal modes of vibration for a model system with 3 or more masses in 2 or 3 dimensions.
  • Analyze the soliton equations beyond what was covered in class.
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    Last modfied: Wednesday, 21-Aug-2024 16:28:12 EDT