Main Page

PHYS 813: Quantum Statistical Mechanics Instructor · Teaching Web · UD Physics & Astronomy · University of Delaware Help · WikiLaTeX · Categories · Media · A–Z index Course Topics This is the second core course in the sequence (PHYS 616 + PHYS 813) aimed to introduce physics graduate students to basic concepts and tools of statistical physics. PHYS 616, or equivalent taken at some other institution, is prerequisite to enroll in this course. Quantum statistical mechanics governs most of condensed matter physics (metals, semiconductors, glasses, ...) and parts of molecular physics and astrophysics (white dwarfs, neutron stars). It spawned the origin of quantum mechanics (Planck's theory of the black-body radiation spectrum) and provides framework for our understanding of other exotic quantum phenomena (Bose-Einstein condensation, superfluids, and superconductors). The course will focus on practical introduction to QSM via examples and hands-on tutorials using computer algebra system such as Mathematica. The examples will be drawn from the application of QSM to condensed matter physics, phase transitions in magnetic systems, astrophysics, and plasma physics, as are the areas of relevance to research in DPA. Main Course Topics: proper and improper mixed states in quantum mechanics and the density operator, entanglement and decoherence in quantum mechanics, equilibrium partition function for noninteracting bosons and fermions, electrons in solids, stellar astrophysics, Bose-Einstein condensation in cold atomic gases, phase transitions and critical phenomena (with emphasis on magnetic systems), mean field theory vs. renormalization group methods, quantum phase transitions, elements of nonequilibrium statistical physics: Boltzmann equation, Kubo formula and quantum master equations. News Final exam is scheduled on 05/21 at 8:00AM in harp Lab 122. Homework Set 5 has been posted and is due on 05/21. Homework Set 6 has been posted for students wishing to collect extra credit. Lecture in Progress Lecture 9: Renormalization group (RG) theory of phase transitions Quick Links Stelar evolution: The life and death of stars Quantum statistical mechanics for stellar astrophysics: White dwarfs, neutron and quark stars and black holes Bose-Einstein condensation in ultracold atomic gases Tutorial on renormalization group applied to classical and quantum critical phenomena Elements of nonequilibrium statistical physics: Boltzmann equation and Kubo formula Course Motto In teaching, writing, and research, there is no greater clarifier than a well-chosen example. Formalism should not be introduced for its own sake, but only when it is needed for some particular problem. Physics comes in two parts: the precise mathematical formulation of the laws, and the conceptual interpretation of the mathematics. However, if words of conceptual interpretation actually convey the wrong meaning of the mathematics, they must be replaced by more accurate words. (W. J. Mullin) Wiki Getting Started Configuration settings list MediaWiki FAQ MediaWiki release mailing list Consult User's Guide for information on using the wiki software.