The Time–Dependent Born–Oppenheimer Approximation
40 pages
English

Découvre YouScribe en t'inscrivant gratuitement

Je m'inscris

The Time–Dependent Born–Oppenheimer Approximation

Découvre YouScribe en t'inscrivant gratuitement

Je m'inscris
Obtenez un accès à la bibliothèque pour le consulter en ligne
En savoir plus
40 pages
English
Obtenez un accès à la bibliothèque pour le consulter en ligne
En savoir plus

Description

The Time–Dependent Born–Oppenheimer Approximation, Crossings, Avoided Crossings, and Some Non-Adiabatic Transitions George A. Hagedorn Department of Mathematics, and Center for Statistical Mechanics, Mathematical Physics and Theoretical Chemistry Virginia Tech Blacksburg, Virginia 24061–0123 USA Nice Quantum Chemistry Workshop 14 Nov. 2008 1

  • statistical mechanics

  • complex invertible d?

  • virginia tech

  • avoided crossings

  • propagation through

  • edu nice

  • harmonic oscillator

  • quantum chemistry


Sujets

Informations

Publié par
Publié le 01 novembre 2008
Nombre de lectures 17
Langue English

Extrait

TRN TiWN{1NpNaMNae -bca{D p NaRNiWNc , p cbiiWHeiba, .cbddiaPd,,gbiMNM.cbddiaPd, HaMGbWNCba!,MiHIHeiLTcHadieibad
2NbcPN ,. ?HPNMbca =WdSfhaWbhcYFSh[WaShiUg,SbV :WbhWfYcfMhShighiUS˙FWU[SbiUg,FSh[WaShiUS˙I[ngiUg SbVN[WcfWhiUS˙:[Waighfn PifZibiSNWU[ 9˙SU]gTifZ, PifZibiS /1,3.{,./0 OM8
[SZWVcfb7aSh[)kh)WVi GiUWKiSbhia:[WaighfnWcf]g[cd
.1 Gck) /,,5
.
.)
/)
0)
1)
MWaiU˙SggiUS˙WSkWISU]Whg
DfeTiaN
N[WNiaW{=WdWbVWbh9cfb{HddWb[WiaWf8ddfcmiaShicb
@mdcbWbhiS˙˙nMaS˙˙Gcb{8ViSTShiUMUShhWfibZNfSbgihicbg
IfcdSZShicbN[fciZ[EWkW˙:fcggibZgSbV8kciVWV:fcggibZg
/
GNWiLTHddiLHTWHgNPHLSNed
NcghShWhiaW{VWdWbVWbhfWgi˙hgibh[WifacghWmd˙iUihYcfa, lWbWWVhcVigUigggWaiU˙SggiUS˙lSkWdSU]Whg Á k /; >; ~ ; I; i
N[WgWSfWZWbWfS˙ioShicbgcYCSfacbiUcgUi˙˙ShcfghShWg) N[WnUcibUiVWlih[ZWbWfS˙ioWVgeiWWoWVghShWg) Ibh[Wac˙WUi˙SfUcbhWmh, ~ li˙˙TW ² / )
;I;i;x)}giSbfc[hbccfaS˙STg
{ Á k /; >; ~ Sg k fSbZWg ckWf N {ViaWbgicbS˙ ai˙h{ i bViUWg)
igYcL
/ R N
);x
I R N fWdfWgWbhg S U˙SggiUS˙ dcgihicb) i R N fWdfWgWbhgSU˙SggiUS˙acaWbhia) / SbV > SfWUcad˙WmibkWfhiT˙W N × N aShfiUWg h[Sh gShigYn / t > > t / = , SbV / > ( > / = / I ) N[WdcgihicbibUWfhSibhnigVWhWfaibWVTn ² | / | , SbV h[WacaWbhiaibUWfhSibhnigVWhWfaibWVTn ² | > | )
))
0
Á;x)=¼
N. 1 ~ N. 1 ’VWh’ / ) . . /
; ~ ; I; i , / >; × Wmd x I ) >/ . x I ) . ’/ ~ ) ( ii x I ) . ~
N[WfWSfWfSigibZSbV˙clWfibZcdWfShcfglih[h[WgSaW S˙ZWTfSiUdfcdWfhiWgSglih[h[WCSfacbiUcgUi˙˙Shcf)
=WubWh[WAcifiWfNfSbgYcfa
N[Wb
N./Zkix.
) = F ~ f )’ k ’/ ¼ ~ ) R N f x ) O ~ Nx:
F ~ Á k /; >; ~ ; I; i; ) k ) = O iI i. ~ Á >; /; ~ ; i; I; k k
):o:
1
  • Univers Univers
  • Ebooks Ebooks
  • Livres audio Livres audio
  • Presse Presse
  • Podcasts Podcasts
  • BD BD
  • Documents Documents