Lectures related to Laplace Equation: Uniqueness and Fundamental Solution

Fundamental Solutions of Laplace Equation

Explores fundamental solutions, Green's formula, distributions, and convergence in Laplace equation.

Uniqueness Results for Poisson Equation

Explores uniqueness results for the Poisson equation and harmonic functions with different boundary conditions.

Fundamental Solutions of Laplace Equation

Covers the fundamental solutions of the Laplace equation and introduces distributions.

Symmetry in the Plane

Explores the modern definition of symmetry and its practical applications.

Pseudonambulgol from Bosons: Methane and Effective Field Theory

Explores the relationship between methane and effective field theory, focusing on the impact of multi-poles on the electrostatic potential between molecules.

Symmetry in Modern Topology

Explores fundamental theorems and practical applications of modern symmetry theory, including decorative motifs and linear pattern extensions.

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Properties of Fundamental Solutions: Green's Representation Formula

Covers the properties of fundamental solutions and introduces Green's representation formula for solving partial differential equations.

Staggered Bosons: Symmetry and Gaplessness

Explores staggered bosons, lattice realizations of gapless field theories with symmetry protection, commutation relations, and criticality.

Dirichlet Problem for Laplace Equation

Explores the Dirichlet problem for the Laplace equation and Green's function.

Electric Fields: Symmetry and Charges

Explores electric fields around charges, emphasizing symmetry and specific cases.

Quantum Field Theory: Renormalization

Covers the concept of renormalization in quantum field theory, focusing on regularization and divergences removal.

Advanced Physics I

Covers velocity, acceleration, dynamics, moments of inertia, and kinetic energy storage systems.

Symmetry and Group Theory: Exercise Set 3

Covers Exercise Set 3 on Symmetry and Group Theory, focusing on chiral molecules, point groups, conjugacy, and group properties.

Inertia Tensor: Main Axes and Principal Moments

Explains the inertia tensor, main axes, principal moments, and balancing of rotating solids.

Green's Functions in Laplace Equations

Covers the concept of Green's functions in Laplace equations and their solution construction process.

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Global Conservation Laws

Explores the dynamical consequences of symmetry, emphasizing conservation laws and the role of Noether currents.

Goldstone Bosons: Higgs Mechanism

Explores Goldstone bosons and the Higgs mechanism, revealing how spontaneous symmetry breaking generates mass for gauge bosons.