One aspect of Dr. Romatschke's research focuses on the theoretical description of ultrarelatistic heavy-ion collisions as performed at experiments at the Relativistic Heavy-Ion Collider (RHIC) or the Large Hadron Collider (LHC), with the aim of getting a better understanding of the theory of strong interactions (Quantum Chromodynamics). Dr. Romatschke's expertise lies in using relativistic hydrodynamics to describe these systems, with the aim of extracting of material parameters such as shear and bulk viscosities of high temperature Quantum Chromodynamics. Complementary to this effort, Dr. Romatschke is studying efficient algorithms for relativistic fluid dynamics that can have applications in other fields, such as astrophysics. Another aspect of Dr. Romatschke's work focuses on using analytical Quantum Chromodynamics calculations to predict properties of neutron stars, such as their masses and radii.
keywords
high energy nuclear physics, relativistic hydrodynamics, physics of neutron stars, unitary fermi gas, quantum field theory
MATH 5030 - Intermediate Mathematical Physics 1
Primary Instructor
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Fall 2023
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 2023
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 2024
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 5770 - Gravitational Theory (Theory of General Relativity)
Primary Instructor
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Spring 2019 / Spring 2021 / Spring 2022 / Spring 2023
Presents Einstein's relativistic theory of gravitation from geometric viewpoint; gives applications to astrophysical problems (gravitational waves, stellar collapse, etc.). Recommended prerequisites: PHYS 3220 and PHYS 3320. Instructor consent required for undergraduates.
PHYS 7270 - Introduction to Quantum Mechanics 3
Primary Instructor
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Fall 2020 / Fall 2021 / Fall 2022
Radiation theory; relativistic wave equations with simple applications; introduction to field theory and second quantization.
PHYS 7280 - Advanced Quantum Theory
Primary Instructor
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Spring 2018
Quantum theory of fields, elementary particles, symmetry laws, and topics of special interest. Recommended prerequisite: PHYS 7270 or instructor consent required.
