"Spin system and Pauli exclusion principle"의 두 판 사이의 차이
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* Enrico Santamato, Francesco De Martini, Weyl-gauge invariant proof of the Spin-Statistics Theorem, arXiv:1604.06253 [quant-ph], April 21 2016, http://arxiv.org/abs/1604.06253 | * Enrico Santamato, Francesco De Martini, Weyl-gauge invariant proof of the Spin-Statistics Theorem, arXiv:1604.06253 [quant-ph], April 21 2016, http://arxiv.org/abs/1604.06253 | ||
[[분류:migrate]] | [[분류:migrate]] | ||
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| + | ==메타데이터== | ||
| + | ===위키데이터=== | ||
| + | * ID : [https://www.wikidata.org/wiki/Q131594 Q131594] | ||
| + | ===Spacy 패턴 목록=== | ||
| + | * [{'LOWER': 'pauli'}, {'LOWER': 'exclusion'}, {'LEMMA': 'principle'}] | ||
| + | * [{'LOWER': 'exclusion'}, {'LOWER': 'principle'}, {'OP': '*'}, {'LOWER': 'physics'}, {'LEMMA': ')'}] | ||
| + | * [{'LOWER': 'principle'}, {'LOWER': 'of'}, {'LOWER': 'exclusion'}, {'OP': '*'}, {'LOWER': 'quantum'}, {'LOWER': 'mechanics'}, {'LEMMA': ')'}] | ||
| + | * [{'LOWER': 'exclusion'}, {'LOWER': 'principle'}, {'OP': '*'}, {'LOWER': 'fermi'}, {'OP': '*'}, {'LOWER': 'dirac'}, {'LOWER': 'statistics'}, {'LEMMA': ')'}] | ||
2021년 2월 17일 (수) 02:24 기준 최신판
introduction
- 틀:수학노트
- the simplest example of quantum mechanical system
- quantization of the angular momentum
- measures as being some multiple of Planck's constant divided by \(2\pi\)
evolution of Pauli exclusion principle
- originated from atomic spectroscopy
- Dirac-antisymmetrizing the wave function for an assembly of indistinguishable particles
- Pauli's spin matrices
- anti-commutation relations for particle creation and annihilation operators in quantum field theory
representation theory
- concept from the representation of \(SU(2)\)
- half of highest weight is called the spin of the module
- Casimir operator can also detect this number.
- spin \(1/2\) is the most important case since they are the matter particles
- this is why we have half-integral spin although those representation are integral highest weight representations.
spin particle statstics
- Bosons
- photon
- vector boson
- Gluon
- follows Bose-Einstein statistics
- force-transmitting particles
- Fermions = spin- \(1/2\) particles
- quarks and leptons
- follows Fermi-Dirac statistics
- matter particles
Dirac wave equation
articles
- Enrico Santamato, Francesco De Martini, Weyl-gauge invariant proof of the Spin-Statistics Theorem, arXiv:1604.06253 [quant-ph], April 21 2016, http://arxiv.org/abs/1604.06253
메타데이터
위키데이터
- ID : Q131594
Spacy 패턴 목록
- [{'LOWER': 'pauli'}, {'LOWER': 'exclusion'}, {'LEMMA': 'principle'}]
- [{'LOWER': 'exclusion'}, {'LOWER': 'principle'}, {'OP': '*'}, {'LOWER': 'physics'}, {'LEMMA': ')'}]
- [{'LOWER': 'principle'}, {'LOWER': 'of'}, {'LOWER': 'exclusion'}, {'OP': '*'}, {'LOWER': 'quantum'}, {'LOWER': 'mechanics'}, {'LEMMA': ')'}]
- [{'LOWER': 'exclusion'}, {'LOWER': 'principle'}, {'OP': '*'}, {'LOWER': 'fermi'}, {'OP': '*'}, {'LOWER': 'dirac'}, {'LOWER': 'statistics'}, {'LEMMA': ')'}]