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<div style="font-size:160%;border:none;margin: 0;padding:.1em;color:#000"> [[Image:UDcoaCweb.jpg|left|100px]] PHYS 813: Quantum Statistical Mechanics</div>
<div style="font-size:160%;border:none;margin: 0;padding:.1em;color:#000"> [[Image:UDcoaCweb.jpg|left|100px]] PHYS 813: Quantum Statistical Mechanics</div>
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|style="font-size:95%;text-align:left;white-space:nowrap;color:#000"| [http://web.physics.udel.edu/about/directory/faculty/branislav-k-nikolic Instructor] '''·''' [http://web.physics.udel.edu UD Physics & Astronomy] '''·''' [http://www.physics.udel.edu/~bnikolic/teaching/teaching.html Teaching Web]  
|style="font-size:95%;text-align:left;white-space:nowrap;color:#000"| [http://web.physics.udel.edu/about/directory/faculty/branislav-k-nikolic Instructor] '''·''' [https://wiki.physics.udel.edu/qttg/Teaching_Web Teaching Web] '''·''' [http://web.physics.udel.edu UD Physics & Astronomy] '''·''' [http://www.udel.edu University of Delaware]  
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! <h2 style="margin:0;background-color:#cef2e0;font-size:120%;font-weight:bold;border:1px solid #a3bfb1;text-align:left;color:#000;padding:0.2em 0.4em;"> Course Topics</h2>
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|style="color:#000"|[[Image:7623.jpg|left|400px]] This is the second core course in a sequence (PHYS 616 + PHYS 813) aimed to introduce physics graduate students to basic concepts and tools of statistical physics. Statistical physics is ''difficult to teach and learn'' due to:
|style="color:#000"|[[Image:greiner.jpg|left|150px]] 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.


* students typically have had little experience making the connection between microscopic and macroscopic phenomena,
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).  
* a deep understanding of the probability theory is important,
* the solution of a single equation or a set of equations such as Newton laws, Maxwell equations, or Schrodinger equation is not central to statistical physics, so that there are no standard procedures that work for a large class of problems and many calculations are unfamiliar to students,
* there are few exactly solvable problems.


Thus, the course will focus on practical introduction of QSM by working many examples in the class drawn from its  applications to condensed matter physics, phase transitions in magnetic systems, astrophysics, and plasma physics, as are the areas of relevance to research in DPA.
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.
 
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Latest revision as of 10:12, 27 October 2022

UDcoaCweb.jpg
PHYS 813: Quantum Statistical Mechanics
Instructor · Teaching Web · UD Physics & Astronomy · University of Delaware Help · WikiLaTeX · Categories · Media · A–Z index

Course Topics

Greiner.jpg
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

  • Homework Set 5 has been posted and is due on 05/10.
  • Midterm exam is schedule on 04/23 during Tuesday class.

Lecture in Progress

  • Lecture 5: Phase transitions

Quick Links

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)


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