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.
MATH 5030 - Intermediate Mathematical Physics 1
Primary Instructor
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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.
PHYS 5030 - Intermediate Mathematical Physics 1
Primary Instructor
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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
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Spring 2020
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
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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
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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.
