Electromagnetics

basic history

• Leyden jar : capacitor
• Volta vs Galvani
• Humphrey Davy
• Oesrsted
• Faraday
• Maxwell
• Lodge
• Marconi
• Tesla : alternating current

gauge invariance

• the electromagnetic potential is a connection on a U(1)-bundle on spacetime whose curvature is the electromagnetic field
• the electromagnetism is a gauge field theory with structure group U(1)

Lorentz force

• almost all forces in mechanics are conservative forces, those that are functions only of positions, and certainly not functions of velocities
• Lorentz force is a rare example of velocity dependent force

polarization of light

• has two possibilites
  • what does this mean?

Lagrangian formulation

• Lagrangian formulation of electromagetism

Hamiltonian formulation

• total energy of a charge particle in an electromagnetic field

\[E=\frac{1}{2m}(p_j-eA_{j})(p_j-eA_j)+q\phi\]

• replace the momentum with the canonical momentum
  • similar to covariant derivative

force on a particle

• force on a particle is same as

\[e\mathbf{E}+e\mathbf{v}\times \mathbf{B}\]

메모

• http://www.math.toronto.edu/~colliand/426_03/Papers03/C_Quigley.pdf
• Feynman's proof of Maxwell equations and Yang's unification of electromagnetic and gravitational Aharonov–Bohm effects

related items

• Gauge theory
• QED

encyclopedia

• http://ko.wikipedia.org/wiki/
• http://en.wikipedia.org/wiki/Classical_electromagnetism
• http://en.wikipedia.org/wiki/Maxwell's_equations
• http://en.wikipedia.org/wiki/Maxwell's_equations#Differential_geometric_formulations
• http://en.wikipedia.org/wiki/Covariant_formulation_of_classical_electromagnetism
• http://en.wikipedia.org/wiki/electrical_current
• http://en.wikipedia.org/wiki/Four-current

books

• ELECTROMAGNETIC THEORY AND COMPUTATION
• The Early History of Radio from Faraday to Marconi

메타데이터

위키데이터

• ID : Q377930

Spacy 패턴 목록

• [{'LOWER': 'classical'}, {'LEMMA': 'electromagnetism'}]
• [{'LEMMA': 'electrodynamic'}]