"Electromagnetics"의 두 판 사이의 차이
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imported>Pythagoras0 |
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| 6번째 줄: | 6번째 줄: | ||
* Faraday | * Faraday | ||
* Maxwell | * Maxwell | ||
| + | * Lodge | ||
| + | * Marconi | ||
| + | * Tesla : alternating current | ||
2013년 9월 22일 (일) 14:48 판
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
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
- 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
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