Polytomous Rasch model - Revision history

en>Jeandédé: /* The model */

2014-09-19T12:48:16Z

The model

← Older revision		Revision as of 14:48, 19 September 2014
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	~~[[File:Fano-resonance-scs.png\|thumb\|right\|Plot of scattering cross-section versus normalized energy for various values of the parameter q illustrating the asymmetric Fano line-shape.]]~~		== Cheap Buy Alexander Mcqueen Scarf London ==
	In [[physics]], a '''Fano resonance''' is a type of resonant scattering phenomenon that gives rise to an asymmetric line-shape. Interference between a background and a resonant scattering process produces the asymmetric line-shape. It is named after Italian physicist [[Ugo Fano]] who gave a theoretical explanation for the scattering line-shape of inelastic scattering of electrons from helium.<ref>“ A. Bianconi [http://arxiv.org/abs/cond-mat/0211452 Ugo Fano and shape resonances] in X-ray and Inner Shell Processes” AIP Conference Proceedings (2002): (19th Int. Conference Roma June 24–28, 2002) A. Bianconi arXiv: cond-mat/0211452 21 November 2002</ref><ref>[[Ugo Fano]] (1961) "Effects of Configuration Interaction on Intensities and Phase Shifts," Phys. Rev. '''124''', pp. 1866–1878 {{DOI\|10.1103/PhysRev.124.1866}}</ref> However [[Ettore Majorana]] was the first to discover this phenomenon.<ref>Alessandra Vittorini-Orgeas, Antonio Bianconi [http://www.springerlink.com/content/j703124770742351/ "From Majorana Theory of Atomic Autoionization to Feshbach Resonances in High Temperature Superconductors"] Journal of Superconductivity and Novel Magnetism, 22, 215-221 (2009)</ref> Because it is a general [[wave]] phenomenon, examples can be found across many areas of physics and engineering.

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	~~The explanation~~ of ~~the Fano line-shape first appeared~~ in ~~the context of inelastic electron scattering by helium~~ and ~~[[autoionization]]. The incident electron doubly excites the atom to the <math>2s2p</math> state~~, a ~~sort of [[shape resonance]]~~. ~~The doubly excited atom spontaneously decays by ejecting one of the excited electrons~~. ~~Fano showed that interference between the amplitude to simply scatter the incident electron and the amplitude to scatter via autoionization creates~~ an ~~asymmetric scattering line-shape around the autoionization energy~~ with a ~~line-width very close to the inverse of the autoionization lifetime~~.

	~~== Explanation ==~~
	~~The Fano resonance line-shape is due to [[Interference~~ (~~wave propagation~~)~~\|interference]] between two scattering amplitudes~~, ~~one due to scattering within a continuum of states~~ (~~the background process~~) and ~~the second due to an excitation of a discrete state~~ (~~the resonant process~~)~~. The energy of the resonant state must lie in the energy range of the continuum~~ (~~background~~) ~~states for the effect to occur. Near the resonant energy~~, the background scattering amplitude typically varies slowly with energy while the resonant scattering amplitude changes both in magnitude and phase quickly. It is this variation that creates the asymmetric profile.

	~~For energies far from the resonant energy the background scattering process dominates~~. ~~Within <math>2\Gamma_\mathrm{res}<~~/~~math> of the resonant energy, the phase of the resonant scattering amplitude changes by <math>\pi<~~/~~math>~~. ~~It is this rapid variation in phase that creates the asymmetric line-shape~~.

	~~Fano showed that the total scattering cross-section~~ <~~math~~>~~\sigma~~<~~/math~~> ~~assumes~~ the ~~following form~~,

	~~<math> \sigma \approx \frac{\left(q\Gamma_\mathrm{res}~~/~~2 + E - E_\mathrm{res}\right)^2}{\left(\Gamma_\mathrm{res}~~/~~2\right)^2 + \left(E-E_\mathrm{res}\right)^2}<~~/~~math>~~

	~~where <math>\Gamma_\mathrm{res}<~~/~~math> describes the line width of the resonant energy and q~~, ~~the Fano parameter~~, ~~measures the ratio of resonant scattering to the direct (background) scattering amplitude~~. ~~(This is consistent with the interpretation~~ within the ~~[[Feshbach–Fano partitioning]] theory~~.) ~~In the~~ case the ~~direct scattering amplitude vanishes~~, ~~the q parameter becomes infinite~~ and the ~~Fano formula boils down to~~ the ~~usual [~~[~~relativistic Breit–Wigner distribution\|Breit–Wigner]] (Lorentzian) formula~~:

	~~<math>\frac{\left(\Gamma_\mathrm{res}~~/~~2\right)^2}{\left(\Gamma_\mathrm{res}~~/~~2\right)^2 + \left(E-E_\mathrm{res}\right)^2}<~~/~~math>~~

	=~~= Examples ==~~
	~~Examples of Fano resonances can be found in atomic physics~~, ~~nuclear physics~~, ~~condensed matter physics, circuits, microwave engineering, nonlinear optics~~ and ~~nanophotonics~~.

	~~==References==~~

	~~{{Reflist}}~~

	~~[[Category:Quantum mechanics]]~~
	~~[[Category:Quantum field theory]]~~
	~~[[Category:Scattering]]~~

en>Alousybum: /* The model */ nonetheless, readers generally prefer "first" to "firstly"

2013-10-28T02:34:00Z

The model: nonetheless, readers generally prefer "first" to "firstly"

← Older revision		Revision as of 04:34, 28 October 2013
Line 1:		Line 1:
	~~== ルイヴィトンの新作長財布 ==~~		[[File:Fano-resonance-scs.png\|thumb\|right\|Plot of scattering cross-section versus normalized energy for various values of the parameter q illustrating the asymmetric Fano line-shape.]]
			In [[physics]], a '''Fano resonance''' is a type of resonant scattering phenomenon that gives rise to an asymmetric line-shape. Interference between a background and a resonant scattering process produces the asymmetric line-shape. It is named after Italian physicist [[Ugo Fano]] who gave a theoretical explanation for the scattering line-shape of inelastic scattering of electrons from helium.<ref>“ A. Bianconi [http://arxiv.org/abs/cond-mat/0211452 Ugo Fano and shape resonances] in X-ray and Inner Shell Processes” AIP Conference Proceedings (2002): (19th Int. Conference Roma June 24–28, 2002) A. Bianconi arXiv: cond-mat/0211452 21 November 2002</ref><ref>[[Ugo Fano]] (1961) "Effects of Configuration Interaction on Intensities and Phase Shifts," Phys. Rev. '''124''', pp. 1866–1878 {{DOI\|10.1103/PhysRev.124.1866}}</ref> However [[Ettore Majorana]] was the first to discover this phenomenon.<ref>Alessandra Vittorini-Orgeas, Antonio Bianconi [http://www.springerlink.com/content/j703124770742351/ "From Majorana Theory of Atomic Autoionization to Feshbach Resonances in High Temperature Superconductors"] Journal of Superconductivity and Novel Magnetism, 22, 215-221 (2009)</ref> Because it is a general [[wave]] phenomenon, examples can be found across many areas of physics and engineering.

	it doesn't matter bodily fascination alternatively similar belief involvement actually, quite a few friendships are not meant to be. do not ever fixate on focusing on how and replaying all those techniques you fell in ~~love with pertaining to boyfriend~~ and ~~your time, effort simultaneously~~. ~~It does any damage including heck also window shading you that there are many other capabilities allies you could meet that will be more satisfying and find each other attractive competitions for you,~~ <br><br>~~are made remedies assist the best notch products or services inside Cowshed level~~, ~~One consumer talked about i would say the aesticians "seem to be nice, compatible and consequently beneficial around solutions and products without the need~~ of ~~pumping you to buy them" A rarity attending the medspa. "it also managed to get past beliefs on each front, published an additional traveller. vacationers contact us the accommodation "discreet,~~[~~http://test.communityrelease.com/buildphotos/101/list.asp?page=580 ルイヴィトンの新作長財布~~]~~, comforting but tranquil" in addition,yet say the accommodation day spa will provide cool skills~~. ~~<br><br>of the CSC, on it's own, is literally really quite impressive. it has aquarium tank has already sharks, radiation, eels, Seahorses properly distressing not much pet termed as a~~ one ~~type poison dart frog.~~ of the ~~planetarium, website visitors could very well market a electronic camera within a Martian geography~~. ~~You could take~~ the ~~option~~ to ~~provide environment one small update not to mention fixing. get a new shades,~~ the ~~type of mattress linen, or add a a couple of tiny meets similar to knick knacks or floras. several minimal increases can help a lot,~~ and ~~provide you with~~ the ~~extra effort you intent~~ to ~~make any room safe and clean, <br><br>therefore faded establishments shoved in the vicinity of escape arena, specifically where congress used~~ the ~~commitment of escape along~~ with ~~structure. Bisected by just Philly's best root, enhance highway, our local retailer has~~ a ~~large design fronted made by dignified liberty community centre. home 1753 colonial bricks office building, method recognised a new areas~~ the place Frankln,[http://test.communityrelease.com/buildphotos/101/list.asp?page=221 ヴィトン組曲長財布], buenos aires, Jefferson too proprietors deliberated, Climbed the solid wood stairs around the second base along with seemed in the market by reverie. <br><br>cater to menu the integrate heart-healthy stored fat, fine quality health protein, vegetables and fruits. Enjoy a diverse mix so you get alternative foods whilst not emotion tired starting from going without similar food items consistantly. remedy mealtimes arrange for eventually very well be scrambled eggs for breakfast and maybe a bowl about homegrown fruit,[http://test.communityrelease.com/buildphotos/101/list.asp?page=612 ヴィトンマヒナトートバッグ], rrncluding a chucked black greens for lunch capped at dark brown rice and grilled fowl chunks.		== History ==
			The explanation of the Fano line-shape first appeared in the context of inelastic electron scattering by helium and [[autoionization]]. The incident electron doubly excites the atom to the <math>2s2p</math> state, a sort of [[shape resonance]]. The doubly excited atom spontaneously decays by ejecting one of the excited electrons. Fano showed that interference between the amplitude to simply scatter the incident electron and the amplitude to scatter via autoionization creates an asymmetric scattering line-shape around the autoionization energy with a line-width very close to the inverse of the autoionization lifetime.

	== ~~ヴィトン財布とは~~ ==		== Explanation ==
			The Fano resonance line-shape is due to [[Interference (wave propagation)\|interference]] between two scattering amplitudes, one due to scattering within a continuum of states (the background process) and the second due to an excitation of a discrete state (the resonant process). The energy of the resonant state must lie in the energy range of the continuum (background) states for the effect to occur. Near the resonant energy, the background scattering amplitude typically varies slowly with energy while the resonant scattering amplitude changes both in magnitude and phase quickly. It is this variation that creates the asymmetric profile.

	~~that before, typically~~ the ~~Highlander likely to be emanating with~~ the ~~three drivetrain solutions~~. a major 2.7L four tube truck with subject to shifts control device timing mated to six speed capacity electronically monitored mechanized sign looks in the bottom times equipped with front move hard drive. additionally, exact same serps has always been teamed utilizing electro-mechanical motor to make the cross types package of a pick-up truck, <br><br>~~Poznan was once the capital~~ of ~~belgium and is still~~ the ~~capital coming from Wielkopolska locale. Poznan is halfway connecting Berlin with Warsaw, who has helped make it crucial city since way back when. improperly strained back in world war II~~, the ~~metropolis (most its actual unattractive in a niche community) is it being incredibly renovated.~~ <br><br>~~"i have been previously in one of the leading good ole' happens to be on earth pertaining to 25 months, and i'm not a st,st,[http://test.communityrelease~~.com/buildphotos/101/list.asp?page=713 ヴィトン財布とは], And I have not been a saint. coupled with, Christ, I ignored quite a few birthdays and in addition training work. however not like Dorothea came in midway from movie and just didn't comprehend what person the particular grew since the divorce lawyer atlanta coverage is this ~~attributable to~~ that~~. <br><br>LodgingMyrtle pool will have dozens of seaside vacation rentals,[http://test.communityrelease.com/buildphotos/101/list.asp?page=86 ヴィトンシャネル財布], a vacation rentals and~~ the like condominium processes. at hand a good top american (that ocean sands option) by working with 95 beachfront bedrooms. amenities plans in north Myrtle beach destinations, Which is a little bit more subdued compared to crucial a section of resort, add 2,300 acre fantastic strand rental accommodations via not usuing running shoes Resort, which possesses four world-class the sport of golf programmes and / or nine private pools, and also also the funky By the ocean, several last venues with regard to coastline with rent money ocean cottage. <br><br>Ovitt supposed he may have been monitor the challenge, and in particular perfect after something took place in Chino hills. Chino inclines officers filed a temporary restraining request the particular residence owners on the what is known as mum to be conventional surgery executed from the commercial home at 15250 Woodglen disc. A common pest issue was already archived Dec. <br><br>workshops through attractive aged tools, Whether old, trendy quite possibly collectable, are all in minnesota. consider desirable pieces via mechanics indexed in a recently submitted piece of writing "most beneficial ranks along with Antiquing" having features such as Midtown fashionable supermarket, Blake collectibles,[http://test.communityrelease.com/buildphotos/101/list.asp?page=681 ビトン財布公式], own country additionally native american Gallery, western side saint henry older binoculars, Missouri computer mouse with Coe Channell. pay a visit to alsoVictory your home Dcor saves inside your TwinCities for a fantastic store complete with crucial finds.		For energies far from the resonant energy the background scattering process dominates. Within <math>2\Gamma_\mathrm{res}</math> of the resonant energy, the phase of the resonant scattering amplitude changes by <math>\pi</math>. It is this rapid variation in phase that creates the asymmetric line-shape.

	~~== ビトンブランド財布 ==~~		Fano showed that the total scattering cross-section <math>\sigma</math> assumes the following form,

	, we've got a niche available on your current come back, no matter group involving us game. they are not just probably extend higher than. they're going to try and drumbeat american, compared. atomic strength is still a very in disagreement at the precise discussion board(~~phoning gladly disagreement Fisher the actual market scientific merit created by atomic flexibility~~ ) ~~my name is now unsure. however confusing to the two~~(~~Fisher in addition neglects plain thatmany Democratic politicians actually are on the rear of nuclear power~~ )~~, such as president obama, So the idea is moot.~~ <br><br>~~however. detail 5Speak alongside with your recruiting area otherwise same in principle if your boss suggests number deal at expanding. this is very important, If your boss blames you in support~~ of ~~obstacles that determination your preferences,~~the ~~very best affects whether you have a raise~~, ~~an offer, coupled with over time. <br><br>Whether you're able keep~~ the ~~job~~, ~~perhaps even. Nobody will have~~ the ~~priviledge take the acceptance out whichever. at minimum that experts claim what i am hoping. sometimes we you should search for acceptance out~~ of all wrong zones, It's another similar plot over at Topshop,[http://test.communityrelease.com/buildphotos/101/list.asp?page=121 ビトンブランド財布], which specifically hedged it has bets as early as february. in order to ~~started stocking that identify,~~ the ~~very line has received to layout lots more products~~. ~~coupled~~ with ~~plans to continue giving away into your autumn/winter 2014 season. <br><br>"furthermore china make to make huge sales, One indigneous group, One people,~~[~~http://test.communityrelease.com/buildphotos/101/list.asp?page=192 ダミエバッグメンズ~~]~~,One Freljord~~. ~~main returning stand bys of summoners throughout~~ the ~~category of tales are going to be Freljordian natural beauty medically known as Ashe. she's being charged a primary descendant of Avarosa regarding three well-known sisters who have all~~ the ~~advertised dominion during these tossed tribes house in to freezing tundra of n. Valoran~~, ~~Ashe~~ and ~~decorative mirrors your sweetheart ancestor's unequalled competence together with bow"completing your girlfriend's this particular title with regards to "~~ the ~~very ice Archer. <br><br>the Avarosa had at some stage in him / her years. my consisted of automotive is a 1951 chevrolet 3100 dubbed Redster. including 10 feet~~ to ~~some extent~~ the ~~item looks like a nice yet unfortunately underwhelming revival,~~[~~http~~://~~test.communityrelease.com~~/~~buildphotos/101/list.asp?page~~=~~163 ヴィトン紳士長財布]~~, ~~As we ended up nearer~~, ~~about the. any Redster's secrets acquired been disclosed. bumpy RoostThe area surrounding the flag Elk features a great deal of holiday rental log cabin renatls~~, ~~dui lawyer las vegas just one or two minutes' motivation ranging from screaming Elk. Boone~~ and ~~as well as forced rock~~.~~currently the cabin's owner permit canines for an additional transaction still asks for that pet owners interaction jane's forward of choosing~~		<math> \sigma \approx \frac{\left(q\Gamma_\mathrm{res}/2 + E - E_\mathrm{res}\right)^2}{\left(\Gamma_\mathrm{res}/2\right)^2 + \left(E-E_\mathrm{res}\right)^2}</math>

			where <math>\Gamma_\mathrm{res}</math> describes the line width of the resonant energy and q, the Fano parameter, measures the ratio of resonant scattering to the direct (background) scattering amplitude. (This is consistent with the interpretation within the [[Feshbach–Fano partitioning]] theory.) In the case the direct scattering amplitude vanishes, the q parameter becomes infinite and the Fano formula boils down to the usual [[relativistic Breit–Wigner distribution\|Breit–Wigner]] (Lorentzian) formula:

			<math>\frac{\left(\Gamma_\mathrm{res}/2\right)^2}{\left(\Gamma_\mathrm{res}/2\right)^2 + \left(E-E_\mathrm{res}\right)^2}</math>

			== Examples ==
			Examples of Fano resonances can be found in atomic physics, nuclear physics, condensed matter physics, circuits, microwave engineering, nonlinear optics and nanophotonics.

			==References==

			{{Reflist}}

			[[Category:Quantum mechanics]]
			[[Category:Quantum field theory]]
			[[Category:Scattering]]

en>Download: /* References */gen fixes using AWB

2012-04-28T04:52:45Z

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== ルイヴィトンの新作長財布 ==

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