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Symmetry and Conservation Laws
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Lagrangian Mechanics: Symmetries and Conservation Laws
Explores Lagrangian mechanics, symmetries, conservation laws, and the Hamiltonian concept.
Hamiltonian Formalism: Harmonic Oscillator
Explores the Hamiltonian formalism for the harmonic oscillator, focusing on deriving Lagrangian and Hamiltonian, isolating the system, and generating new conserved quantities.
Global Conservation Laws
Explores the dynamical consequences of symmetry, emphasizing conservation laws and the role of Noether currents.
Field Theory: Action Principles
Discusses the application of action principles in classical field theory, focusing on Lagrange and Hamiltonian formulations.
Principle of Least Action
Covers the principle of least action, Euler-Lagrange equations, Lagrange multipliers, and variational calculus.
Hamiltonian Mechanics: Phase Space and Poisson Bracket
Explores phase space, the Poisson bracket, and Hamiltonian mechanics concepts.
Variable Mass Systems
Covers rotation, energy, shocks, and variable mass systems in advanced physics.
Staggered Bosons: Symmetry and Gaplessness
Explores staggered bosons, lattice realizations of gapless field theories with symmetry protection, commutation relations, and criticality.
Symmetries and Conservation Laws
Explores symmetries, conservation laws, and their role in physics.
Quantum Mechanics: Path Integral Representation
Covers the path integral representation in quantum mechanics and the dynamics of systems described by Lagrangian.