"Electromagnetics"의 두 판 사이의 차이
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Pythagoras0 (토론 | 기여) |
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| (사용자 3명의 중간 판 93개는 보이지 않습니다) | |||
| 1번째 줄: | 1번째 줄: | ||
| − | + | ==basic history== | |
| + | * Leyden jar : capacitor | ||
| + | * Volta vs Galvani | ||
| + | * Humphrey Davy | ||
| + | * Oesrsted | ||
| + | * Faraday | ||
| + | * Maxwell | ||
| + | * Lodge | ||
| + | * Marconi | ||
| + | * Tesla : alternating current | ||
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| − | + | ==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) | ||
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| − | + | ==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 | ||
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| − | + | ==polarization of light== | |
| − | + | * has two possibilites | |
| − | + | ** what does this mean? | |
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| − | + | ==Lagrangian formulation== | |
| − | * | + | * [[Lagrangian formulation of electromagetism]] |
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| − | < | + | ==Hamiltonian formulation== |
| + | * total energy of a charge particle in an electromagnetic field | ||
| + | :<math>E=\frac{1}{2m}(p_j-eA_{j})(p_j-eA_j)+q\phi</math> | ||
| + | * replace the momentum with the canonical momentum | ||
| + | ** similar to covariant derivative | ||
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| − | + | ==force on a particle== | |
| + | * force on a particle is same as | ||
| + | :<math>e\mathbf{E}+e\mathbf{v}\times \mathbf{B}</math> | ||
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| − | + | ==메모== | |
| − | + | * [http://www.math.toronto.edu/%7Ecolliand/426_03/Papers03/C_Quigley.pdf 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 | ||
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| − | + | ==related items== | |
| − | + | * [[Gauge theory]] | |
| + | * [[QED]] | ||
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| − | + | ==encyclopedia== | |
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* http://ko.wikipedia.org/wiki/ | * http://ko.wikipedia.org/wiki/ | ||
* http://en.wikipedia.org/wiki/Classical_electromagnetism | * http://en.wikipedia.org/wiki/Classical_electromagnetism | ||
| − | * http://en.wikipedia.org/wiki/Maxwell's_equations | + | * [http://en.wikipedia.org/wiki/Maxwell%27s_equations http://en.wikipedia.org/wiki/Maxwell's_equations] |
| + | * [http://en.wikipedia.org/wiki/Maxwell%27s_equations#Differential_geometric_formulations 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/Covariant_formulation_of_classical_electromagnetism | ||
* http://en.wikipedia.org/wiki/electrical_current | * http://en.wikipedia.org/wiki/electrical_current | ||
* http://en.wikipedia.org/wiki/Four-current | * http://en.wikipedia.org/wiki/Four-current | ||
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| − | + | ==books== | |
| + | * ELECTROMAGNETIC THEORY AND COMPUTATION | ||
| + | * [[The Early History of Radio from Faraday to Marconi]] | ||
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| + | [[분류:math and physics]] | ||
| + | [[분류:gauge theory]] | ||
| + | [[분류:migrate]] | ||
| − | + | ==메타데이터== | |
| + | ===위키데이터=== | ||
| + | * ID : [https://www.wikidata.org/wiki/Q377930 Q377930] | ||
| + | ===Spacy 패턴 목록=== | ||
| + | * [{'LOWER': 'classical'}, {'LEMMA': 'electromagnetism'}] | ||
| + | * [{'LEMMA': 'electrodynamic'}] | ||
2021년 2월 17일 (수) 03:16 기준 최신판
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
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
- The Early History of Radio from Faraday to Marconi
메타데이터
위키데이터
- ID : Q377930
Spacy 패턴 목록
- [{'LOWER': 'classical'}, {'LEMMA': 'electromagnetism'}]
- [{'LEMMA': 'electrodynamic'}]