"Klein-Gordon equation"의 두 판 사이의 차이

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<h5>introduction</h5>
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* free massive scalar field
 
* free massive scalar field
 
* in condensed matter physics it describes long wavelength optical phonons
 
* in condensed matter physics it describes long wavelength optical phonons
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20번째 줄: 24번째 줄:
 
** for example, <math>\pi</math>-meson
 
** for example, <math>\pi</math>-meson
 
* Thus the Dirac equation comes in to deal with spin-<math>1/2</math> particles.
 
* Thus the Dirac equation comes in to deal with spin-<math>1/2</math> particles.
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<h5>history</h5>
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* http://www.google.com/search?hl=en&tbs=tl:1&q=
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<h5>related items</h5>
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* [[sine-Gordon equation]]
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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/
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* http://www.scholarpedia.org/
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* http://www.proofwiki.org/wiki/
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* Princeton companion to mathematics([[2910610/attachments/2250873|Companion_to_Mathematics.pdf]])
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<h5>books</h5>
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* [[2010년 books and articles]]<br>
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* http://gigapedia.info/1/
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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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<h5>expositions</h5>
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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.ams.org/mathscinet
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* http://www.zentralblatt-math.org/zmath/en/
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* http://arxiv.org/
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* http://www.pdf-search.org/
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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]
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* http://dx.doi.org/
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<h5>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>blogs</h5>
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*  구글 블로그 검색<br>
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**  http://blogsearch.google.com/blogsearch?q=<br>
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** http://blogsearch.google.com/blogsearch?q=
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* http://ncatlab.org/nlab/show/HomePage
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<h5>experts on the field</h5>
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* http://arxiv.org/
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<h5>links</h5>
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* [http://detexify.kirelabs.org/classify.html Detexify2 - LaTeX symbol classifier]
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* [http://pythagoras0.springnote.com/pages/1947378 수식표현 안내]
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* [http://www.research.att.com/%7Enjas/sequences/index.html The On-Line Encyclopedia of Integer Sequences]
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* http://functions.wolfram.com/

2010년 11월 2일 (화) 15:03 판

introduction
  • free massive scalar field
  • in condensed matter physics it describes long wavelength optical phonons

 

 

 

  • relativistic generalization of Schrodinger equation
  • this describes the spin-0 particles
  • there are real KG equation and complex KG equation
    • real case describes electrically neutral particles
    • complex case describes charged particles
  • \((\Box + m^2) \psi = 0\)
  • people found 2 problems of KG equations
    • negative energy states
    • negative probability density
  • correct interpretations of \(\phi\) requires the idea of quantum field rather than the particle wavefunction
    • negative probability density -> charge density
  • Dirac suggested Dirac sea by invoking the exclusion principle and then KG equation only applicable to spinless particles
    • for example, \(\pi\)-meson
  • Thus the Dirac equation comes in to deal with spin-\(1/2\) particles.

 

 

 

 

 

history

 

 

related items

 

 

encyclopedia

 

 

books

 

 

 

expositions

 

 

 

articles

 

 

 

question and answers(Math Overflow)

 

 

blogs

 

 

experts on the field

 

 

links
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