Anthony Levi is a Professor of Electrical Engineering and Physics at the University of Southern California. He joined USC in 1993 after working for 10 years at AT&T Bell Laboratories. He invented hot electron spectroscopy, discovered ballistic electron transport in heterostructure bipolar transistors, and created the first micro-disk laser. Professor Levi's current research includes optimal design of high-performance electronic and photonic systems, and understanding the behavior of small quantum systems. He holds 17 U.S. patents and is the author of several books on device physics and quantum mechanics.
Essential Electron Transport for Device Physics, A. F. J. Levi
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The discrete permutation symmetry for identical indistinguishable particles is always obeyed. However, some quasiparticles in two dimensions exhibit any phase, called a Berry phase, upon adiabatic interchange. Such exotic particles are called anyons.
The energy eigenvalues of an isolated one-dimensional finite chain of atoms with nearest-neighbor interaction can be found analytically (see Problem 1.6).