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Physics: theory survey
The Many-Body Problem in Quantum Mechanics
many many-body systems
even a proton can be viewed as a many-body system: of quarks and gluons
even 0-body, i.e. the vacuum, is a many-body system
Many-Body Systems
condensed matter systems: electron gas, phonons, etc.
nuclear matter
quark (and gluon) matter: HICs and neutron stars
Recurrent Concepts
quasi-particles: mass spectrum and width
in-medium effects and collective excitations
statistical mechanics
partition functions
kinetic theory and transport
symmetry and its spontaneous breaking (hiding)
phase transitions
Theoretical Methods
Feynman diagrams and perturbation theory
field theoretical techniques, self-consistent equations
scattering theory and dispersion relations
approximation methods
saddle-point approximation and beyond
expansion in (coupling, N, densities, etc.)
group theory and angular momenta
effective models, potential models, matrix models, etc.
our approach in this course
find the stupidest example in a physics topic / method
check to see whether the ability to numerically compute things could improve our understanding
numerical exploration of some math. problems: visualize, algorithm
an example
Can we teach the computer to understand this?
And more importantly, can we learn something from it?
THE END