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Symmetry in quantum mechanics
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Lagrange I: Conservation Laws and Kinetic Energy
Explores Lagrangian mechanics, conservation laws, and kinetic energy in generalized coordinates.
Fluid Kinematics: Introduction
Introduces the concept of fluid kinematics and explores properties, descriptions, and derivatives in fluid mechanics.
Continuum Mechanics: Modeling Deformation and Flow
Covers the fundamentals of Continuum Mechanics, focusing on modeling deformation and flow in materials.
Stellar Orbits and Potential Theory
Covers ideal models, Lagrangian mechanics, orbits in spherical potentials, and potential theory.
Representations of SU(2): Symmetries and Transformations
Covers the representations of SU(2) and their transformations in quantum mechanics.
Fermion Masses: Higgs Mechanism and Yukawa Couplings
Covers the Higgs mechanism, fermion masses, Yukawa couplings, and properties of the Higgs boson, concluding with a discussion on dark matter beyond the Standard Model.
Radiation-reaction Force: Lagrangian Formulation
Covers the radiation-reaction force, conservation of momentum, and correct force expressions.
Quantum Theory: Canonical Approach
Covers the canonical approach to quantum theory, focusing on Lagrangian mechanics and equations of motion.
Lagrange's Approach: Dynamics and Constraints
Explores Lagrange's approach to dynamics, emphasizing compatibility with constraints and the significance of generalized coordinates.
Canonical Transformations: Hamiltonian Equations
Explores canonical transformations, emphasizing Hamiltonian equations, constant quantities, and the importance of Lagrangian variables.
