Emphasis will be on using basic physics to understand complicated systems. Topics include classical waves; wave mechanics, interpretation of the quantum wave-function, one-dimensional bound states, scattering, and tunneling; thermodynamics, introductory kinetic theory, and quantum statistics.

The course format follows that of Physics 6: An intermediate course in the application of basic principles of classical physics to a wide variety of subjects. A laboratory introduction to experimental physics and data analysis. Waves, Quantum Physics, Andrew beyer thesis caltech Statistical Mechanics.

Support for summer research at Caltech between freshman and sophomore years will be automatic for those students making satisfactory progress. Computational tools for data analysis. The three terms can be taken independently.

Research in Experimental Physics. Topics in Classical Physics.

Evidence for strong field-induced quantum phase fluctuations and quantum criticality are observed in the vortex phase diagrams of all samples considered.

This finding is in stark contrast to the vortex-state quasiparticle spectra in conventional superconductors, where the intra-vortex spectra near vortex cores exhibit a sharp zero-bias conductance peak due to the complete suppression of superconductivity and the presence of continuous bound quasiparticle states.

Numerical solution of 3-body and N-body systems. In particular, we will touch on the main topics covered in the written candidacy exam: The lack of a zero-bias peak and the observation of pseudogap-like spectra in the intra-vortex quasiparticle spectra of La suggest that superconductivity alone cannot describe the STS results.

Second and third terms: In addition to the STS experiments, the effects of unconventional quasiparticle excitations on macroscopic superconductivity and vortex phase diagrams are investigated from bulk magnetization measurements on several different families of superconducting cuprate samples.

Basic linear and nonlinear elements and circuits are studied, including amplifiers, filters, oscillators and other signal conditioning circuits. Of primary concern are models of neural computation and their neurological substrate, as well as the physics of collective computation.

The theory of quantum information and quantum computation. The written thesis must be completed and distributed to the committee one week before the second presentation. First term includes analytic and numerical methods for solving differential equations, integral equations, and transforms, and other applications of real analysis.

For temperature T less than the superconducting transition temperature TCand in zero field, the quasiparticle spectra of La exhibits gapped behavior with two coherence peaks and no satellite features. The instructor will complete a student evaluation at the end of the term.

A laboratory course intended for graduate students, it covers the design, construction, and testing of simple, practical analog and interface circuits useful for signal conditioning and experiment control in the laboratory.

Mathematical methods and their application in physics. This is a one-term class aimed at advanced undergraduates as well as beginning graduate students. Finally, a "two-gap" phenomenological model, describing the excitations from a ground state of coexisting superconductivity and a competing order, is used to quantitatively model the unconventional quasiparticle excitations observed in the measurements of the local tunneling density of states and the angle-resolved photoemission spectroscopy ARPES experiments.

The course will also help students find faculty sponsors for individual research projects. Advanced Mathematical Methods of Physics.Optimization Algorithms for Realizable Signal-Adapted Filter Banks Thesis by Andre Tkacenko In Partial Fulﬁllment of the Requirements me and for supporting me during my stay at Caltech.

I ﬁrst met P. P. when I was an undergrad at Caltech, when he was assigned to be my advisor. senior thesis advisor as an undergrad, and good friend.

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