• Contact Info
Publications in VIVO
 

Hermele, Michael Aaron

Professor

Positions

Research Areas research areas

Research

research overview

  • Dr. Hermele's work focuses on identifying, characterizing and classifying states of matter in quantum many body systems, both in the contexts of solid state materials and ultracold atomic gases. Hermele is particularly interested in exotic states of matter that cannot be understood in terms of spontaneously broken symmetry and/or Landau Fermi liquid theory.

keywords

  • theoretical condensed matter physics, quantum magnetism, strongly correlated quantum systems, quantum field theory, ultracold atomic gases

Publications

selected publications

Teaching

courses taught

  • MATH 5030 - Intermediate Mathematical Physics 1
    Primary Instructor - Fall 2019 / Fall 2021
    Surveys classical mathematical physics, starting with complex variable theory and finite dimensional vector spaces. Discusses topics in ordinary and partial differential equations, the special functions, boundary value problems, potential theory, and Fourier analysis. Department enforced prerequisite: MATH 4001. Instructor consent required for undergraduates. Same as PHYS 5030.
  • MATH 5040 - Intermediate Mathematical Physics 2
    Primary Instructor - Spring 2022
    Surveys classical mathematical physics, starting with complex variable theory and finite dimensional vector spaces. Discusses topics in ordinary and partial differential equations, the special functions, boundary value problems, potential theory and Fourier analysis. Department enforced prerequisite: MATH 5030. Same as PHYS 5040.
  • PHYS 3320 - Principles of Electricity and Magnetism 2
    Primary Instructor - Spring 2023
    Continuation of PHYS 3310. Electromagnetic induction; magnetic energy; microscopic theory of magnetic properties; Ac circuits; Maxwell's Equations; planewaves; waveguides and transmission lines; radiation from electric and magnetic dipoles and from an accelerated charge.
  • PHYS 5030 - Intermediate Mathematical Physics 1
    Primary Instructor - Fall 2019 / Fall 2021
    This course and its continuation, PHYS 5040, form a survey of classical mathematical physics. Studies complex variable theory and finite vector spaces, and includes topics in ordinary and partial differential equations, boundary value problems, potential theory, and Fourier analysis. Same as MATH 5030.
  • PHYS 5040 - Intermediate Mathematical Physics 2
    Primary Instructor - Spring 2020 / Spring 2022
    Continuation of PHYS 5030. Includes group theory, special functions, integral transforms, integral equations and calculus of variations. Recommended prerequisite: PHYS 5030. Same as MATH 5040.
  • PHYS 5250 - Introduction to Quantum Mechanics 1
    Primary Instructor - Fall 2018
    Quantum phenomena, Ehrenfest theorem and relation to classical physics, applications to one-dimensional problems, operator techniques, angular momentum and its representations, bound states and hydrogen atom, and Stern-Gerlack experiment and spin and spinor wave function. Department enforced prerequisite: advanced undergraduate quantum mechanics course.
  • PHYS 5260 - Introduction to Quantum Mechanics 2
    Primary Instructor - Spring 2018 / Spring 2019
    Symmetries and conservation laws, identical particle systems, approximation techniques (including time-dependent and time-independent perturbation theories and variational techniques) and their applications, scattering theory, radiative transitions, and helium atom. Recommended prerequisite: PHYS 5250.
  • PHYS 7250 - Quantum Many Body Theory
    Primary Instructor - Spring 2024
    Theory of quantum many body systems, including methods based on Green's functions, Feynman diagrams, and coherent state path integral with applications to interacting quantum gases, superconductivity and superfluidity, quantum phase transitions, quantum magnetism, quantum motion in the presence of disorder, and topological states of matter.
  • PHYS 7450 - Theory of Solid State 2
    Primary Instructor - Fall 2022
    Second semester of condensed matter physics, covers topics in soft condensed matter physics, liquid crystals, semiconductors, Quantum Hall effect, Fractional Quantum Hall effect, superconductivity and other topics at the discretion of the instructor.

Background

awards and honors

International Activities

Other Profiles