In my bachelor years, I bought so many books for each course. Still, I didn't read some of them entirely, so last year, I decided to give them to my friends with one condition: They have to explain each section to me after reading it, and at the end of the process, they can take the book for themselves. And it was the beginning of a Physics-Math (Quanta) Study Circle. This Quanta Study Circle is held weekly on Tuesdays at 5 pm in Physics' Association room (Terian) at the physics department of SUT.

Catgories


Group and Representation Theory

Hossein Gholami, Physics graduate student, SUT

Group Theory is the study of symmetry, and symmetry is the heart of physics. It is very incredible progress that we make during learning physics, which is that the complexity of physical problems can be dropped vastly by investigating the symmetries of problems. But there is a missing link between group theory and physics. It is as Howard Georgi says: "A log of what physicists use to extract information from symmetry is not the group themselves, but group representations." so through these courses, I try to present my studies on group theory and representations and their application in physics. I try to focus on its use, rather than pure mathematics, so it will be an excellent start for enthusiastic students to study this fascinating subject.

Electrodynamics

Erfan Azizkhani, EE undergrad. student, SUT

Jackson, Classical Electrodynamics; basic concepts of green function theory, green function expansion and its applications in electrostatics & quasi-static EM fields, maxwell EQs and their time-harmonic form, green function in wave theory, scattering theory of field, a Lagrangian formalism for CED, applications like antenna theory and transmission line analysis of high frequency circuits.

Geometry & Physics

Mu.ebrahimi, Physics undergrad. student, SUT

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Kinetic Theory

M.H.Sharifi, Physics undergrad. student, SUT

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Fluid Dynamics

Soheil Benabbas, Physics graduate student, SUT

Fluid Dynamics is one of the most beautiful areas in Physics and Mathematics. In addition to its vast application in Theoretical Physics, knowledge of hydrodynamics is beneficial in almost all fields of science. Hydrodynamic equations and their origins can use for explaining any long-wavelength phenomenon. In these talks, I will review some aspects of the admired book of Lev Landau, Volume 6 of Course of Theoretical Physics, Fluid Mechanics, which is undoubtedly one of the most significant texts on the field.

Gravity & General Relativity

Kourosh sadri, EE undergrad. student, SUT

We will be following Neil Turok in a gentle introduction to GR. Wald's GR and Poisson's "toolkit" are then reviewed to provide the necessary machinery for tackling Black Hole Mechanics.

Summary of Weekly sessions

Week 01 (9.24.19)

  1. Complex Analysis
    Quick review of complex numbers, function and complex field - Cauchy's Theorem.

  2. Electrodynamics
    Introduction to linear systems and Green-functions in electrostatics.

Week 02 (10.01.19)

  1. Electrodynamics
    Electrostatics potential energy, and Thomson's theorem.

  2. Geometry & Physics
    Introduction to Topology, Bases and subbases of Topology, close sets, Closuter and inner of a set.

Week 03 (10.08.19)

  1. Group Theory
    Introduction to group theory, definition of Cayley's theorem and multiplication table of groups.

  2. Geometry & Physics
    Countinuous functions, Countinuous clsses of functions, Homeomorphism and topological classes.

Week 04 (10.15.19)

  1. Electrodynamics
    Method of images and its applications, Green functions for special examples.

  2. Group Theory
    Group Theoryequivalent relation, conjugation calsses, subgroup and co-set.

Week 05 (10.22.19)

  1. Group Theory
    Homomorphism and isomorphism, representations of group, properties of irreducible representation.

  2. Complex Analysis
    Meromorphic Functions and the Logarithm - Dictionary of complex analysis vs. Real analysis.

Week 06 (10.29.19)

  1. Advanced Quantum Mechanics
    the Stern-Gerlach experiment, strange phenomenas in quantum measurments

  2. Fluid Dynamics
    When and Why we use fluid dynamics, What is a fluid particle? and What are the variables important in fluid dynamics and what are the equations governing them.

Week 07 (11.05.19)

  1. Gravity & General Relativity
    Why GR? Towards a field theory for Gravitation. Newton's bucket and Einstein's elevator. Gravitational "force" in GR.

  2. Geometry & Physics
    Compacteness, Connectedness and arc-connectedness, quotient spaces, mapes and topologies and at the end Toures, mobuis and clayn bottle.

Week 08 (11.12.19)

  1. Electrodynamics
    Laplace equation in various types of coordinates, Green function expansion.

  2. Group Theory
    Introduction to characters and character table, Introduction to continuous groups.

Week 09 (11.19.19)

  1. Gravity & General Relativity
    Introduction to differential geometry. Scalars, vectors and tensors and the metric. Geodesic equation from length minimization.

  2. Fluid Dynamics
    We rederived Euler equation and talk about conservation of energy. At the end we wrote down the complete set of Hydrodyanmics equations.

Week 10 (11.26.19)

  1. Group Theory
    Introduction to lie Algebra and lie groups, topological groups, Unitary and orthogonal groups.

  2. Electrodynamics
    legendre functions expansion in spherical harmonics, Intorduction to Sturm-Liouville equation.

Week 11 (12.03.19)

  1. Group Theory
    SU(2) and SO(3): compactness and connectedness, SU(2) double cover of SO(3).

  2. Electrodynamics
    Spectral expansion, Introduction to Fourier transformation and Fourier-Besel and Kantorovich-Lobov.

Week 12 (12.17.19)

  1. Electrodynamics
    Quasi-static Electromagnetic waves and materials

  2. Group Theory
    Symmetry and degeneracy, Hidden symmetry, SO(4) symmetry of Hydrogen atom.

  3. Fluid Dynamics
    Propagation of a disturbance in a fluid and derive the sound modes.

Week 13 (12.24.19)

  1. Kinetic Theory
    Part 1, Brownian Motion, Langevin Equation, Correlation functions

  2. Kinetic Theory
    Part 2, Motion in force field, Fokker-Planck Equation

  3. Gravity & General Relativity
    Geodesic congruences and Riemannian tensor

Week 14 (12.31.19)

  1. Electrodynamics
    Time-harmonic fields, Wave equation Green function and wave propagation, Plane waves, reflection and transmission.

  2. Group Theory
    Non-compact groups, Weyl's theorem, Lorentz group SO(3,1) and Casimir operators.

  3. Fluid Dynamics
    Flow and conservation of circulation, viscous fluid and derivation of Navier Stokes equations.

Week 15 (1.07.20)

  1. Kinetic Theory
    Part 1, Smoluchowski EquationEquilibrium State, Maxwell Distribution and Boltzmann Factor

  2. Kinetic Theory
    Part 2, Liouville’s theorem, BBGKY hierarchy and Boltzmann equation

  3. Gravity & General Relativity
    Introduction to Partial, Covariant, Exterior and Lie derivatives; Parallel transport

Image Gallery

Superstring Talks

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