Tautological bundle - Revision history

en>TakuyaMurata: /* Hyperplane bundle */

2015-01-09T17:56:56Z

Hyperplane bundle

← Older revision		Revision as of 19:56, 9 January 2015
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	~~The '''Majorana equation''' is a [[relativistic wave equation]] similar~~ to ~~the [[Dirac equation]] but includes the [[C-symmetry\|charge conjugate]] ψ<sub>c</sub> of a [[spinor]] ψ. It is named after the Italian physicist [[Ettore Majorana]]~~, ~~and it~~ is		Nice to meet you, my title is Refugia. South Dakota is exactly where me and my spouse reside. It's not a typical factor but what she likes doing is foundation jumping and now she is trying to make money with it. For many years I've been operating as a payroll clerk.<br><br>Feel free to visit my webpage; [http://www.noonptm.com/fox/upload/index.php?do=/profile-3715/info/ home std test kit]
	~~:<math> -i {\partial\!\!\!\big /} \psi + m \psi_c = 0 \qquad \qquad (1)</math>~~
	~~with the derivative operator <math>{\partial\!\!\!\big /}</math> written in [[Feynman slash notation]] to include the [[gamma matrices]] as well as a summation over the spinor components~~. ~~In this equation ψ<sub>c</sub> is the charge conjugate of ψ, which can be defined in the [[Gamma_matrices#Majorana basis\|Majorana basis]] as~~
	~~:<math> \psi_c := i \psi^*.\ </math>~~
	~~Equation (1) can alternatively be expressed as~~
	~~:<math> i {\partial\!\!\!\big /} \psi_c + m \psi = 0 \qquad \qquad (2) </math>.~~
	~~In either case, the quantity {{mvar\|m}} in the equation is called the '''Majorana mass'''.~~

	~~The appearance of both ψ and ψ<sub>c</sub> in the Majorana equation means that the field ψ cannot be coupled to an [[electromagnetic field]] without violating [[charge conservation]], so ψ~~ is ~~taken to be neutrally charged. Nonetheless, the quanta of the Majorana equation given here are two particle species, a neutral particle~~ and ~~its neutral [[antiparticle]]~~. ~~The Majorana equation is frequently supplemented by the condition that {{math\|1=ψ = ψ<sub>c</sub>}} (in which case one says that ψ is a '''Majorana [[spinor]]''~~'~~); this results in a single neutral particle. For a Majorana spinor, the Majorana equation is equivalent to the [[Dirac equation]].~~

	~~Particles corresponding to Majorana spinors are aptly called [[Majorana particle]]~~s~~. Such~~ a ~~particle~~ is ~~its own antiparticle. Thus far, of all the fermions included in the [[Standard Model]], none~~ is ~~described as a Majorana fermion~~. ~~However, there is the possibility that the [[neutrino]] is of a Majorana nature. If so, [[Double beta decay#Neutrinoless double-beta decay\|neutrinoless double-beta decay]], as well~~ as a ~~range of lepton-number violating [[meson]] and charged [[lepton]] decays, are possible. A number of experiments probing if the neutrino is a Majorana particle are currently underway~~.<~~ref~~>~~A. Franklin, ''Are There Really Neutrinos?: An Evidential History'' (Westview Press, 2004), p. 186~~<~~/ref~~>

	~~==References==~~
	~~<references/>~~

	~~==External links==~~
	*[http://www.~~ejtp~~.com/~~majorana.html Majorana Legacy in Contemporary Physics]~~
	*[http://~~www~~.~~nature.com~~/~~nphys/journal/v5~~/n9/~~full/nphys1380.html Majorana returns]~~

	~~[[Category:Quantum field theory]]~~
	~~[[Category:Spinors]]~~
	~~[[Category:Equations]~~]

en>Nbarth: wording

2013-09-08T02:59:15Z

wording

← Older revision		Revision as of 04:59, 8 September 2013
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	~~Greetings~~! ~~I am Marvella and I feel comfortable when people use~~ the ~~full title~~. ~~One~~ of the ~~extremely very best issues~~ in the ~~globe for me~~ is to ~~do aerobics~~ and I'~~ve been doing it for fairly~~ a ~~while~~. ~~Years~~ in the ~~past he moved to North Dakota~~ and ~~his family loves it~~. ~~Supervising~~ is ~~my occupation~~.<br><br>~~Also visit my blog post;~~ [http://~~I4P~~.~~info~~/~~article~~.~~php?id=114136 over the counter std test~~]		The '''Majorana equation''' is a [[relativistic wave equation]] similar to the [[Dirac equation]] but includes the [[C-symmetry\|charge conjugate]] ψ<sub>c</sub> of a [[spinor]] ψ. It is named after the Italian physicist [[Ettore Majorana]], and it is
			:<math> -i {\partial\!\!\!\big /} \psi + m \psi_c = 0 \qquad \qquad (1)</math>
			with the derivative operator <math>{\partial\!\!\!\big /}</math> written in [[Feynman slash notation]] to include the [[gamma matrices]] as well as a summation over the spinor components. In this equation ψ<sub>c</sub> is the charge conjugate of ψ, which can be defined in the [[Gamma_matrices#Majorana basis\|Majorana basis]] as
			:<math> \psi_c := i \psi^*.\ </math>
			Equation (1) can alternatively be expressed as
			:<math> i {\partial\!\!\!\big /} \psi_c + m \psi = 0 \qquad \qquad (2) </math>.
			In either case, the quantity {{mvar\|m}} in the equation is called the '''Majorana mass'''.

			The appearance of both ψ and ψ<sub>c</sub> in the Majorana equation means that the field ψ cannot be coupled to an [[electromagnetic field]] without violating [[charge conservation]], so ψ is taken to be neutrally charged. Nonetheless, the quanta of the Majorana equation given here are two particle species, a neutral particle and its neutral [[antiparticle]]. The Majorana equation is frequently supplemented by the condition that {{math\|1=ψ = ψ<sub>c</sub>}} (in which case one says that ψ is a '''Majorana [[spinor]]'''); this results in a single neutral particle. For a Majorana spinor, the Majorana equation is equivalent to the [[Dirac equation]].

			Particles corresponding to Majorana spinors are aptly called [[Majorana particle]]s. Such a particle is its own antiparticle. Thus far, of all the fermions included in the [[Standard Model]], none is described as a Majorana fermion. However, there is the possibility that the [[neutrino]] is of a Majorana nature. If so, [[Double beta decay#Neutrinoless double-beta decay\|neutrinoless double-beta decay]], as well as a range of lepton-number violating [[meson]] and charged [[lepton]] decays, are possible. A number of experiments probing if the neutrino is a Majorana particle are currently underway.<ref>A. Franklin, ''Are There Really Neutrinos?: An Evidential History'' (Westview Press, 2004), p. 186</ref>

			==References==
			<references/>

			==External links==
			*[http://www.ejtp.com/majorana.html Majorana Legacy in Contemporary Physics]
			*[http://www.nature.com/nphys/journal/v5/n9/full/nphys1380.html Majorana returns]

			[[Category:Quantum field theory]]
			[[Category:Spinors]]
			[[Category:Equations]]

88.177.198.117: /* Properties */

2011-04-09T17:15:35Z

Properties

New page

Greetings! I am Marvella and I feel comfortable when people use the full title. One of the extremely very best issues in the globe for me is to do aerobics and I've been doing it for fairly a while. Years in the past he moved to North Dakota and his family loves it. Supervising is my occupation.<br><br>Also visit my blog post; [http://I4P.info/article.php?id=114136 over the counter std test]