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Dr. William Schwalm
Dr. W. Schwalm has been in the Department of Physics & Astrophysics since 1980. His research is in condensed matter theory and application of mathematical methods to physical problems. He has taught lots of different physics courses at all levels.
Current research involves application of Lie groups to finding generating functions for the stationary states of quantum systems, and also applying them to decoupling discrete dynamical systems. Another area of active interest is in finding Green functions for certain classes of lattice problems involving electron transport, vibrations and other collective excitations.
Dr. Schwalm has received two outstanding teaching awards, the University of Utah Physics Outstanding Undergraduate Instructor (1979) and the McDermott award for Excellence in Teaching, UND (1995).
1. Research on extension of Green functions defined for fundamental operators on basic lattice types to operators in the continuous function algebra.
2. Finding Lie groups that permute the solutions of the nonlinear, discrete dynamical systems that come from real-space renormalization and using them to decouple the equations.
3. Simplified theory tools for scanning tunneling microscopy (STM) and angle-resolved photoemission spectroscopy (ARPES) of planar molecules on graphene or other surfaces.
4. Finite difference version of exterior calculus applied to lattice models involving coupled fields.
1. Sample lectures: Current courses: Graduate course, Methods of Theoretical Physics, Phys 509, Undergraduate course, University Physics II, Phys 251.
2. Public lectures: Theory of Relativity, with Tim Young. Sample PowerPoint slides.
3. MAA presentations: Sample PowerPoint slides.
4. Physics Talks: Relativity
5. List of courses taught: Undergraduate: Physics for Poets, Digital Electronics, University Physics (Calculus based) I & II, College Physics (Algebra based) I & II, Mechanics, Electromagnetism I & II, Thermal and Statistical Physics, Quantum Mechanics, Solid State Physics, Nuclear Physics, General Physics Lab, Computers in Physics. Graduate Courses, Applied Groups, Analytical Mechanics, Classical Electrodynamics, Quantum Mechanics I & II, Thermal and Statistical Physics, Methods of Theoretical Physics.