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Symmetries and Groups in Quantum Mechanics

Covers the role of symmetries and groups in quantum mechanics, focusing on SU2 and SU3, their properties, and implications for physical theories.

Quantum Field Theory: Poincaré Group

Explores Einsteinian relativity, the Lorentz group, and Poincaré transformations, emphasizing proper and non-orthochronous components.

Quantum Field Theory: Noether Currents and Lorentz Symmetry

Covers the Noether currents, Lorentz symmetry, and field quantization in quantum field theory.

Quantum Theory: Lorentz Transformation

Explores the Lorentz transformation in Quantum Theory, emphasizing Fock space representation and momentum concepts.

Lorentz Transformations: Symmetries and Boosts

Explores Lorentz transformations, boosts, and symmetries in Newtonian mechanics.

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Relativistic Formulation of Newtonian Mechanics

Explores the Lorentz covariant formulation of Newtonian mechanics, including 4-vectors and relativistic Newton's second law.

MHD Stability and Equilibrium

Explores MHD equilibrium and stability, emphasizing energy considerations for determining stability.

Vector Fields and Lorentz Tensors: Representation Theory

Covers the transformation properties of vector fields and their representation in Lorentz tensors.

Special and General Relativity

Introduces special and general relativity, Einstein equations, and gravitational dynamics.

Quantité de mouvement and Impulsion

Explores momentum, impulse, work, energy, and angular momentum in advanced physics.

Symmetries and Conservation Laws

Explores symmetries, conservation laws, and their role in physics.

Lie Groups: Representations and Transformations

Explores Lie groups, scalar fields, and vector spaces transformations.

Lorentz Invariance: Velocities, Time Dilation, Length Contraction

Explores Lorentz invariance, covering velocities, time dilation, and length contraction, with implications for symmetries and physical interpretations.

Lorentz Transformations and Covariant Tensors

Explores Lorentz transformations, covariant tensors, rotational invariance, and linear transformations in vector spaces.

EM Field: Discrete Symmetries

Covers EM Field and Discrete Symmetries, emphasizing the importance of symmetries in quantum field theory.

Functional Equation of Zeta

Covers the functional equation of zeta function and Jensen's formula in complex analysis.

Scaling & Renormalization in Statistical Mechanics

Explores scaling and renormalization in statistical mechanics, emphasizing critical points and invariant properties.

Topology of Riemann Surfaces

Covers the topology of Riemann surfaces, focusing on orientation and orientability.