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Course Criteria
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4.00 Credits
Same as Advanced Mechanics with added material in mechanics designed specifically for pre-engineering majors. Statics. Methods of analysis of trusses. Cables under loads. Gears.
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3.00 Credits
Review of vector calculus. Electro- and magnetostatics, multipole expansions, time-dependent fields. Development of Maxwell's equations. Laplace and Poisson equations, boundary value problems. Electromagnetic wave equation, plane waves in a vacuum. Poynting vector, ?blue sky law.? Microscopic and phenomenological theories of dielectric and magnetic materials. Resistors, capacitors, inductors, and their uses in circuits, transformers; generalized forces on charges in electro-magnetic fields
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3.00 Credits
No course description available.
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3.00 Credits
Relativistic transformation of fields and covariance of Maxwell's equations. Polarizability tensor, electrodynamics in matter. Electromagnetic radiation by accelerating charges; Lienard-Wiechert potentials, multipole radiation, bremsstrahlung, synchrotron radiation, applications to astrophysical sources. Antennas. Electromagnetic wave propagation in matter. Electromagnetic basis of physical optics. Fresnel equations, Kirchoff diffraction theory. Wave-guides and cavity resonators.
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3.00 Credits
A survey of the properties of condensed matter. Classification of crystalline lattices. Elements of crystallography. Cohesive forces in solids. Vibrations of crystals phonons. Debye and Einstein theories of phonons and thermal conductivity. Free electron theory of metals. Bloch states and band theory. The Fermi surface. Semiconductors.Survey of advanced topics: excitations in lattices (plasmons and polarons), superconductivity, magnetic materials and models, theory of crystalline defects and alloys.
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3.00 Credits
The laws of thermodynamics. Entropy. Equations of state. Phase transitions. Thermodynamic potentials. The Third Law. Distribution functions. Theory of ensembles. Statistical formulation of temperature. Quantum and classical ideal gasses. Electronic conductance. Bose-Einstein statistics: phonons, Plancks Law, Bose condensation.
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3.00 Credits
Gibbs theory of ensembles. Quantum statistics. Superfluidity. Quantum transport. Virial expansions. Magnetic systems and the Ising model. Theory of phase transitions. Ideas of the renormalization group. Random walks, accretion and percolation phenomena. Complexity and self-organization. Nonequilibrium statistical mechanics. Boltzmann's equation.
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0.00 - 3.00 Credits
Wave-particle duality. Operators. Commutation relations. Solutions of Schrodingers equation in one dimension for square well and barrier potential, harmonic oscillator, and rigid rotator with fixed axis; dynamics of non-monochromatic free particles. Observables, expectation values, uncertainty relations; wave packets. Applications to quantum wells and superlattices, molecular beam epitaxy and scanning tunneling microscopy.
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0.00 - 3.00 Credits
Wave-particle duality. Operators. Commutation relations. Solutions of Schrodingers equation in one dimension for square well and barrier potential, harmonic oscillator, and rigid rotator with fixed axis; dynamics of non-monochromatic free particles. Observables, expectation values, uncertainty relations; wave packets. Applications to quantum wells and superlattices, molecular beam epitaxy and scanning tunneling microscopy.
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3.00 Credits
Perturbation theory, approximations; solution of Schrodinger's equation for the hydrogen atom; Angular momentum. Addition of angular momentum. Clebsch-Gordon coefficients. Pauli exclusion principle, electron spin; atomic spectroscopy and second quantization. Elements of quantum field theory.
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