"Special relativity"의 두 판 사이의 차이

수학노트
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(사용자 3명의 중간 판 23개는 보이지 않습니다)
1번째 줄: 1번째 줄:
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<h5>four-vector </h5>
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==four-vector ==
  
 
* can be transformed by Lorentz transformation
 
* can be transformed by Lorentz transformation
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*  examples<br>
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*  examples
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** space-time (ct,x,y,z)
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** space-time <math>(ct,x,y,z)</math>
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** four momentum (m,mv_1,mv_2,mv_3)
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** four momentum <math>(m,mv_1,mv_2,mv_3)</math>
 
** electromagnetic field
 
** electromagnetic field
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==review of Maxwell's equation==
  
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<h5 style="line-height: 2em; margin: 0px;">review of Maxwell's equation</h5>
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* [[Electromagnetics|Electromagnetism]]
  
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* [[Electromagnetics|Electromagnetism]]<br>
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==Lorentz transformation and Maxwell's equation==
  
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<h5 style="line-height: 2em; margin: 0px;">Lorentz transformation and Maxwell's equation</h5>
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* http://en.wikipedia.org/wiki/Lorentz_transformation
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* one-dimensional example
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:<math>E_{tt}-E_{zz}=0</math>
  
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* http://en.wikipedia.org/wiki/Lorentz_transformation<br>
 
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*  one-dimensional example<br><math>E_{tt}-E_{zz}=0</math><br>
 
  
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==related items==
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* {{수학노트|url=미분기하학}}
  
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=== 하위페이지 ===
  
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<h5 style="line-height: 2em; margin: 0px;">Vacuum field equation and gravitational field equation</h5>
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* [[special and general relativity]]
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** [[light cone coordinates and gauge]]
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** [[relativistic point particle]]
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* [[General relativity]]
  
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*  gravitational potentail satisfies the following equation<br><math>\nabla^2 \Phi = - 4 \pi G \rho</math><br>
 
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*  \rho is the matter density<br>
 
  
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==encyclopedia==
  
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* http://en.wikipedia.org/wiki/Newton's_law_of_universal_gravitation
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* http://en.wikipedia.org/wiki/Einstein_field_equations
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* http://en.wikipedia.org/wiki/Solutions_of_the_Einstein_field_equations
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* http://en.wikipedia.org/wiki/Lorentz_covariant
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* http://en.wikipedia.org/wiki/Four-vector
  
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<h5 style="line-height: 2em; margin: 0px;">energy-momentum tensor</h5>
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* describe the densities and flows of energy and momentum<br>
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==books==
  
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* http://gigapedia.com/items/45025/relativity-demystified---a-self-teaching-guide--2005-12
  
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<h5 style="line-height: 2em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">relativistic Vacuum field equation</h5>
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==expositions==
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* Silagadze, Z. K. ‘Relativistic Mass and Modern Physics’. Canadian Journal of Physics 92, no. 12 (December 2014): 1643–51. doi:10.1139/cjp-2014-0257.
  
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==articles==
  
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* [http://www.fourmilab.ch/etexts/einstein/specrel/www/ On the electrodynamics of moving bodies]
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<h5 style="line-height: 2em; margin: 0px;">relativistic matter field equation</h5>
 
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* [[Einstein field equation]]<br><math>R_{\mu \nu} - {1 \over 2}g_{\mu \nu}\,R + g_{\mu \nu} \Lambda = {8 \pi G \over c^4} T_{\mu \nu}</math><br> where <math>\Lambda</math> is the [[cosmological constant]]<br>
 
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<h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">history</h5>
 
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* http://www.google.com/search?hl=en&tbs=tl:1&q=
 
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<h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">related items</h5>
 
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* [http://pythagoras0.springnote.com/pages/1951508 미분기하학]<br>
 
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<h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">encyclopedia</h5>
 
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* [http://en.wikipedia.org/wiki/Newton%27s_law_of_universal_gravitation http://en.wikipedia.org/wiki/Newton's_law_of_universal_gravitation]<br>
 
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* http://en.wikipedia.org/wiki/Einstein_field_equations<br>
 
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* http://en.wikipedia.org/wiki/Solutions_of_the_Einstein_field_equations<br>
 
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*   <br>http://en.wikipedia.org/wiki/Lorentz_covariant<br>
 
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* [http://en.wikipedia.org/wiki/Lorentz_covariant ]http://en.wikipedia.org/wiki/Four-vector<br>
 
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* http://en.wikipedia.org/wiki/
 
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* http://www.scholarpedia.org/
 
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* Princeton companion to mathematics([[2910610/attachments/2250873|Companion_to_Mathematics.pdf]])
 
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<h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">books</h5>
 
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* http://gigapedia.com/items/45025/relativity-demystified---a-self-teaching-guide--2005-12<br>
 
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* [[2010년 books and articles]]<br>
 
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* http://gigapedia.info/1/relativity
 
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* http://gigapedia.info/1/
 
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* http://www.amazon.com/s/ref=nb_ss_gw?url=search-alias%3Dstripbooks&field-keywords=
 
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[[4909919|]]
 
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<h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">articles</h5>
 
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* [http://www.fourmilab.ch/etexts/einstein/specrel/www/ On the electrodynamics of moving bodies]<br>
 
 
** A. Einstein, 1905
 
** A. Einstein, 1905
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* http://www.ams.org/mathscinet
 
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* http://www.zentralblatt-math.org/zmath/en/
 
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* http://pythagoras0.springnote.com/
 
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* [http://math.berkeley.edu/%7Ereb/papers/index.html http://math.berkeley.edu/~reb/papers/index.html][http://www.ams.org/mathscinet ]
 
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* http://front.math.ucdavis.edu/search?a=&t=&c=&n=40&s=Listings&q=
 
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* http://www.ams.org/mathscinet/search/publications.html?pg4=AUCN&s4=&co4=AND&pg5=TI&s5=&co5=AND&pg6=PC&s6=&co6=AND&pg7=ALLF&co7=AND&Submit=Search&dr=all&yrop=eq&arg3=&yearRangeFirst=&yearRangeSecond=&pg8=ET&s8=All&s7=
 
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* http://dx.doi.org/
 
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<h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">question and answers(Math Overflow)</h5>
 
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* http://mathoverflow.net/search?q=
 
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* http://mathoverflow.net/search?q=
 
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<h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">blogs and webpage</h5>
 
  
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* [http://www.zweigmedia.com/diff_geom/tc.html Introduction to Differential Geometry and General Relativity]<br>
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** Lecture Notes by Stefan Waner<br>
 
  
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*  구글 블로그 검색<br>
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==blogs and webpage==
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** http://blogsearch.google.com/blogsearch?q=
 
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** http://blogsearch.google.com/blogsearch?q=
 
  
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* [http://www.zweigmedia.com/diff_geom/tc.html Introduction to Differential Geometry and General Relativity]
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**  Lecture Notes by Stefan Waner
  
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<h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">links</h5>
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[[분류:개인노트]]
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[[분류:physics]]
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[[분류:math and physics]]
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[[분류:migrate]]
  
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* [http://detexify.kirelabs.org/classify.html Detexify2 - LaTeX symbol classifier]
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==메타데이터==
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* [http://pythagoras0.springnote.com/pages/1947378 수식표현 안내]
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===위키데이터===
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* [http://www.research.att.com/%7Enjas/sequences/index.html The On-Line Encyclopedia of Integer Sequences]
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* ID :  [https://www.wikidata.org/wiki/Q11455 Q11455]
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* http://functions.wolfram.com/
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===Spacy 패턴 목록===
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*
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* [{'LOWER': 'special'}, {'LEMMA': 'relativity'}]
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* [{'LEMMA': 'SR'}]
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* [{'LOWER': 'special'}, {'LOWER': 'theory'}, {'LOWER': 'of'}, {'LEMMA': 'relativity'}]
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* [{'LEMMA': 'STR'}]

2021년 2월 17일 (수) 01:27 기준 최신판

four-vector

  • can be transformed by Lorentz transformation
  • examples
    • space-time \((ct,x,y,z)\)
    • four momentum \((m,mv_1,mv_2,mv_3)\)
    • electromagnetic field


review of Maxwell's equation



Lorentz transformation and Maxwell's equation

\[E_{tt}-E_{zz}=0\]


related items

하위페이지


encyclopedia



books


expositions

  • Silagadze, Z. K. ‘Relativistic Mass and Modern Physics’. Canadian Journal of Physics 92, no. 12 (December 2014): 1643–51. doi:10.1139/cjp-2014-0257.

articles



blogs and webpage

메타데이터

위키데이터

Spacy 패턴 목록

  • [{'LOWER': 'special'}, {'LEMMA': 'relativity'}]
  • [{'LEMMA': 'SR'}]
  • [{'LOWER': 'special'}, {'LOWER': 'theory'}, {'LOWER': 'of'}, {'LEMMA': 'relativity'}]
  • [{'LEMMA': 'STR'}]
원본 주소 "https://wiki.mathnt.net/index.php?title=Special_relativity&oldid=51748"