// Use when solving problems involving Maxwell's equations, electrostatics, magnetostatics, electromagnetic waves, radiation, or relativistic electrodynamics.
MCTS-based autonomous physics problem solver with arXiv search, prior knowledge retrieval, and multi-agent reasoning. Use when you need to solve physics problems, search arXiv for relevant papers, or generate structured physics solutions with iterative refinement.
Use when applying conservation of energy, momentum, angular momentum, charge, or other conserved quantities to constrain or solve a physical system.
Use when checking dimensional consistency, estimating physical scales, or deriving functional forms via the Buckingham Pi theorem.
Use when decomposing signals or fields into frequency/momentum components, applying Fourier transforms, or using spectral methods to solve differential equations.
Use when solving ordinary or partial differential equations numerically, including choosing integrators, discretization schemes, and stability analysis.
Use when solving a problem by expanding around a known solution in a small parameter, including regular and singular perturbation theory.
| name | classical_electrodynamics |
| description | Use when solving problems involving Maxwell's equations, electrostatics, magnetostatics, electromagnetic waves, radiation, or relativistic electrodynamics. |
Apply this skill when the problem involves electric and magnetic fields, charges and currents, electromagnetic wave propagation, radiation from accelerating charges, or relativistic formulations of electrodynamics.
Solve electromagnetic problems using Maxwell's equations, boundary conditions, and standard techniques (method of images, multipole expansion, Green's functions, retarded potentials).
charge_current_distribution: Source charges and/or currents (static or time-dependent)geometry: Boundary conditions, conductor shapes, dielectric interfacesmedium_properties: Permittivity, permeability, conductivity (if not vacuum)fields: Electric and magnetic field solutions (E, B or potentials phi, A)energy_momentum: Energy density, Poynting vector, radiated powermultipole_moments: Electric and magnetic multipole moments (if applicable)Identify the problem type.
Choose the appropriate method.
Solve the equations.
Compute derived quantities.
Verify.