Диссертация (1145407), страница 31
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. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 176àñïðåäåëåíèå ðàãìåíòîâ äèññîöèàöèè ïî êèíåòè÷åñêîéýíåðãèè, óñðåäí¼ííîå ïî ÔÍÎ äëÿ ðàçëè÷íûõ ïèêîâûõ èíòåíñèâíîñòåé èìïóëüñà. Íà÷àëüíîå ñîñòîÿíèå - íåêîãåðåíòíàÿ ñóììà âèáðàöèîííûõ óðîâíåé ñ ðàñïðåäåëåíèåì ÔðýíêàÊîíäîíà.5.9. . . . .
. . . . . . . . . . . . . . . . . . . . . . . . 178Çàâèñèìîñòü ðàñïðåäåëåíèÿ ðàãìåíòîâ äèññîöèàöèè ïî êèíåòè÷åñêîé ýíåðãèè â êàíàëå D+p îò ÔÍÎ äëÿ ðàçíûõ ïèêîâûõ èíòåíñèâíîñòåé èìïóëüñà: (a) I0 = 5 × 1013 W/m2;(b) I0 = 8 × 1013 W/m2; () I0 = 1 × 1014 W/m2; (d)I0 = 2 × 1014 W/m2; (e) I0 = 4 × 1014 W/m2; (f) I0 =7 × 1014 W/m2. Ïîêàçàíû äâà ïåðèîäà ÔÍÎ. Íà÷àëüíîå ñî-ñòîÿíèå - íåêîãåðåíòíàÿ ñóììà âèáðàöèîííûõ óðîâíåé ñ ðàñïðåäåëåíèåì Ôðýíêà-Êîíäîíà. .
. . . . . . . . . . . . . . . . 1802245.10 Çàâèñèìîñòü ñèëû ýåêòà ÔÍÎ (5.13) äëÿ ðàñïðåäåëåíèÿðàãìåíòîâ äèññîöèàöèè ïî ýíåðãèè äëÿ ðàçíûõ ïèêîâûõèíòåíñèâíîñòåé ëàçåðíîãî èìïóëüñà. Ïàðàìåòð ïîãðåøíîñòèóñòàíîâëåí íà óðîâíå δ = 0.3, ÷òî ñîîòâåòñòâóåò êîíñåðâàòèâíîé îöåíêå òî÷íîñòè âû÷èñëåíèÿ ðàñïðåäåëåíèÿ. Òîíêèå ÷¼ðíûå ëèíèè îòâå÷àþò èìïóëüñó ïèêîâîé èíòåíñèâíîñòè, òîëñòûå ñåðûå ëèíèè îòâå÷àþò ðåçóëüòàòàì, óñðåäí¼ííûì ïî îêóñíîìó îáú¼ìó. Íà÷àëüíîå ñîñòîÿíèå - íåêîãåðåíòíàÿ ñóììàâèáðàöèîííûõ óðîâíåé ñ ðàñïðåäåëåíèåì Ôðýíêà-Êîíäîíà.
. 1835.11 Çàâèñèìîñòü ðàñïðåäåëåíèÿ ðàãìåíòîâ äèññîöèèàöèè ïîýíåðãèè äëÿ êàíàëà D+p, óñðåäí¼ííàÿ ïî îêóñíîìó îáú¼ìó, äëÿ ðàçíûõ çíà÷åíèé ïèêîâîé èíòåíñèâíîñòè èìïóëüñà: (a) I0 = 5 × 1013 W/m2; (b) I0 = 8 × 1013 W/m2;() I0 = 1 × 1014 W/m2; (d) I0 = 2 × 1014 W/m2; (e)I0 = 4 × 1014 W/m2; (f) I0 = 7 × 1014 W/m2. Ïîêàçàíû äâàïåðèîäà ÔÍÎ.
Íà÷àëüíîå ñîñòîÿíèå - íåêîãåðåíòíàÿ ñóììàâèáðàöèîííûõ óðîâíåé ñ ðàñïðåäåëåíèåì Ôðýíêà-Êîíäîíà.1845.12 Çàâèñèìîñòü ýíåðãåòè÷åñêîãî ðàñïðåäåëåíèÿ ðàãìåíòîâäèññîöèàöèè ïîñëå óñðåäíåíèÿ ïî îêàëüíîìó îáú¼ìó, íîðìàëèçîâàííîãî âíóòðè êàæäîãî èíòåðâàëà ýíåðãèé, äëÿ êàíàëà D+p è ðàçíûõ ïèêîâûõ èíòåíñèâíîñòåé: (a) I0 = 5 ×1013 W/m2; (b) I0 = 8 × 1013 W/m2; () I0 = 1 × 1014 W/m2;(d) I0 = 2 × 1014 W/m2; (e) I0 = 4 × 1014 W/m2; (f)I0 = 7×1014 W/m2. Ïîêàçàíû äâà ïåðèîäà ÔÍÎ. Îáëàñòè, âêîòîðûõ ïîãðåøíîñòü âû÷èñëåíèÿ ïðåâîñõîäèò âåëè÷èíó ýåêòà, ñêðûòû. Íà÷àëüíîå ñîñòîÿíèå - íåêîãåðåíòíàÿ ñóììàâèáðàöèîííûõ óðîâíåé ñ ðàñïðåäåëåíèåì Ôðýíêà-Êîíäîíà.2251866.1Âåðîÿòíîñòü îòîâîçáóæäåíèÿ äâóõóðîâíåâîé ñèñòåìû êàêóíêöèÿ àçû ìåæäó íåñóùåé è îãèáàþùåé äëÿ ýíåðãèè âîçáóæäåíèÿ ∆ = 0.066 a.u., ÷àñòîòû ëàçåðà ω = 0.058 a.u., ïèêîâîãî ïîëÿ V0 = 0.1194 a.u., ïðîäîëæèòåëüíîñòè èìïóëüñàτ = 248 a.u..
Òî÷êè ïîëó÷åíû ïðÿìûì ðåøåíèåì óðàâíåíèÿ(6.12), ëèíèÿ ïîñòðîåíà èç êîíå÷íîãî ñîñòîÿíèÿ àìïëèòóä nîòîííîãî îáìåíà äëÿ ϕ = 0. . . . . . . . . . . . . . . . . . . 2036.2Ñîáñòâåííûå çíà÷åíèÿ ãàìèëüòîíèàíà Ôëîêå äëÿ äâóõóðîâíåâîé ñèñòåìû êàê óíêöèÿ ýíåðãèè âçàèìîäåéñòâèÿ ìåæäóêâàíòîâîé ñèñòåìîé è âíåøíèì ïîëåì V = −E · d. Ïàðàìåòðû ìîäåëè: ω = 0.058a.u., ∆ = 0.066a.u. Òîëñòûå ëèíèèîòâå÷àþò îñíîâíîìó ñîñòîÿíèþ, òî÷å÷íûå - âîçáóæä¼ííîìó.6.3205Âçâåøåííàÿ àìïëèòóäà àçîâîé âàðèàöèè âåðîÿòíîñòè âîçáóæäåíèÿ σW (6.11) êàê óíêöèÿ ïèêîâîé ýíåðãèè âçàèìîäåéñòâèÿ ìåæäó äâóõóðîâíåâîé ñèñòåìîé è ïîëåì.
Çàâèñèìîñòü âåðîÿòíîñòè îò àçû îòñóòñòâóåò ïðè ýíåðãèè íèæåV0 = 0.05 a.u. Âû÷èñëåíèÿ âûïîëíåíû ñ ó÷¼òîì 30 êîìïîíåíò â ðàçëîæåíèè, ïàðàìåòð ÷óâñòâèòåëüíîñòè δ â óðàâíåíèè (6.11) ïîëîæåí ðàâíûì δ = 0.01.6.4. . . . . . . . . . . . . 207Ôàçîâàÿ âàðèàöèÿ âåðîÿòíîñòè âîçáóæäåíèÿ êàê óíêöèÿäëèòåëüíîñòè èìïóëüñà. ×¼ðíûå ëèíèè îòâå÷àþò îöåíêå âåëè÷èíû ýåêòà ïî îðìóëå Ëàíäàó-Çåíåðà ÷åðåç âåðîÿòíîñòü ïåðåõîäà íà âòîðîì êâàçèïåðåñå÷åíèè. a) ∆ = 0.066 a.u.b) ∆ = 0.12 a.u. Ïèêîâàÿ ýíåðãèÿ âçàèìîäåéñòâèÿ íà 30% ïðåâûøàåò ýíåðãèþ ïåðåõîäà íà âòîðîì êâàçèïåðåñå÷åíèè óðîâíåé.209226Ëèòåðàòóðà[1℄ Kraemer T., Mark M., Waldburger P., Danzl J.G., Chin C., Engeser B.,Lange A.D., Pilh K., Jaakkola A., Nagerl H.-C., Grimm R., Evidene forEmov quantum states in an ultraold gas of aesium atoms // Nature. 2006.
Vol. 440. P. 315318.[2℄ Saria A., Namboodiri V., Konradi J., Materny A., Vibrational dynamisof exited eletroni states of moleular iodine // The Journal ofChemial Physis. 2007. Vol. 127. P. 144305.[3℄ Hylleraas E.A., Neue berehnung der energie des heliums imgrundzustande, sowie des tiefsten terms von ortho-helium // Zeitshriftfur Physik. 1929. Vol. 54. P. 347-366.[4℄ Einstein A., Theory of light emission and absorption // Annalen derPhysik. 1906. Vol. 19.
P. 371.[5℄ Emov , V., Energy levels arising from resonant two-body fores in athree-body system // Physis Letters B. 1970. Vol. 33. P. 563-564.[6℄ Roudnev V., Cavagnero M., Approahing universality in weakly boundthree-body systems // Physial review letters. 2012. Vol. 108. P.110402.[7℄ Curtiss C.F., Hirshfelder J.O., Adler F.T., The Separation of the227Rotational Coordinates from the N-Partile Shroedinger Equation //The Journal of Chemial Physis. 1950. Vol. 18. P. 1638-1642.[8℄ Vinitskii S.I., Ponomarev L.I., Adiabati representation in the threebody problem with Coulomb interation // Sov.
J. Partiles Nul. 1982. Vol. 13. P. 6.[9℄ Shellingerhout N.W., Kok L.P., High-auray onguration-spaefaddeev alulations. // Nulear Physis A. 1990. Vol. 508. P.299-304.[10℄ KokL.P.,ShellingerhoutN.W.,Conguration-spaeFaddeevalulations for bound states of three idential partiles using thetensor method // Few-body systems. 1991. Vol. 11. P. 99-109.[11℄ Shellingerhout N.W., Fatorizability in the numerial few-body problem// (GRONINGEN). Institute of Theoretial Physis, University ofGroningen. 1995. Vol.
RX-1544. P. .[12℄ Bru L.W., MGee I.J., Calulations and estimates of the ground stateenergy of helium trimers // The Journal of Chemial Physis. 1973. Vol. 59. P. 409-413.[13℄ Lim T.K., Zuniga M.A., On the existene of bound helium trimers bythe equivalent two-body method // The Journal of Chemial Physis. 1975. Vol. 63.
P. 2245-2248.[14℄ Huber H.S., Lim T.K., A study of the Emov states and binding energiesof the helium trimer through the Faddeev-oordinate-momentumapproah // The Journal of Chemial Physis. 1978. Vol. 68. P. .228[15℄ Posthumus J.H., The dynamis of small moleules in intense laser elds// Rep. Prog. Phys. 2004. Vol.
67. P. 623665.[16℄ Zewail A.H., Femtohemistry // J. Phys. Chem. 1993. Vol. 97. P.1242712446.[17℄ Atabek O., Nonadiabati eets in multiphoton dissoiation dynamis// J. Phys. Chem. 1993. Vol. 97. P. 1242712446.[18℄ Sawyer B.C., Stuhl B.K., Wang D., Yeo M., Ye J., Moleular beamollisions with a magnetially trapped target // Physial review letters. 2008. Vol.
101. P. 203203.[19℄ Hudson E.R., Bohinski J.R., Lewandowski H.J., Sawyer B.C., Ye J.,Eient Stark deeleration of old polar moleules // The EuropeanPhysial Journal D-Atomi, Moleular, Optial and Plasma Physis.2004. Vol. 31. P. 351-358.[20℄ Ospelkaus S., Pe'er A., Ni K.-K., Zirbel J.J., Neyenhuis B., KotohigovaS., Julienne P.S., Ye J., Jin D.S., Eient state transfer in an ultraolddense gas of heteronulear moleules // Nature Physis. 2008.
Vol.4. P. 622 - 626.[21℄ Doyle J., Friedrih B., Krems R.V., Masnou-Seeuws F., Quo vadis, oldmoleules? // Eur. Phys. J. D. 2004. Vol. 31. P. 149.[22℄ Marinesu M., You L., Controlling atom-atom interation at ultralowtemperatures by d eletri elds // Phys. Rev. Lett. 1998. Vol. 81. P. 4596.[23℄ Santos L., Shlyapnikov G.V., Zoller P., Lewenstein M., Bose-Einstein229ondensation in trapped dipolar gases // Phys. Rev. Lett..
2000. Vol.85. P. 1791.[24℄ Tiknor C., Collisional ontrol of ground state polar moleules anduniversal dipolar sattering // Phys. Rev. Lett. 2008. Vol. 100. P. 133202.[25℄ Tiknor C., Energy dependene of sattering ground-state polarmoleules // Phys. Rev. A. 2007. Vol. 76. P. 052703.[26℄ Tiknor C., Bohn J., Long-range sattering resonanes in strong-eldseeking states of polar moleules // Phys. Rev. A. 2005.
Vol. 72. P. 032717.[27℄ Bohn J., Tiknor C. //ProeedingsConfereneon Laser SpetrosopyoftheXVIIInternational, edited by Hinds E.A., Ferguson A.,Riis E., WorldSienti 2005. P .207.[28℄ Kanjilal K., Blume D., Low-energy resonanes and bound states ofaligned bosoni and fermioni dipoles // Physial Review A. 2008. Vol. 78. P. 040703.[29℄ Roudnev V., Cavagnero M., Universal resonant ultraold moleularsattering // Physial Review A. 2009. Vol.
79. P. 014701.[30℄ Avdeenkov A.V., Bohn J.L., Collisional dynamis of ultraold OHmoleules in an eletrostati eld // Phys. Rev. A . 2002. Vol. 66. P. 052718.[31℄ Gao B., Universal properties of Bose systems with van der Waalsinteration // J. Phys. B: At.
Mol. Opt. Phys. 2004. Vol. 37. P. L227.230[32℄ de Boor C., Swartz B., Colloation at Gaussian points // SIAM J.Numer. Anal. 1973. Vol. 10. P. 582-606.[33℄ Ñ.Ï. Ìåðêóðèåâ, Ë.Ä. Ôàääååâ, Êâàíòîâàÿ òåîðèÿ ðàññåÿíèÿ äëÿñèñòåì íåñêîëüêèõ ÷àñòèö, Ìîñêâà, Íàóêà, 1985[34℄ Zikendraht W., Constrution of a omplete orthogonal system for thequantum-mehanial three-body problem Annals of Physis // Annalsof Physis. 1965. Vol.
35. P. 18-41.[35℄ Efros V.D., On Method of Hyperspherial Funtions // Yad. Fiz. 1978. Vol. 27. P. 845.[36℄ Maek J., Properties of autoionizing states of He // Journal of PhysisB: Atomi and Moleular Physis. 1968. Vol. 1. P. 831.[37℄ Barletta P., Kievsky A., Variational desription of the helium trimerusing orrelated hyperspherial harmoni basis funtions // Phys. Rev.A. 2001. Vol.
64. P. 042514.[38℄ Lovas F.J., Tiemann E., Coursey J.S., Kotohigova S.A., Chang J., OlsenK., Dragoset R. A.Diatomi Spetral Database[Ýëåêòðîííûé ðåñóðñ℄// NIST. - åæèì äîñòóïà:http://physis.nist.gov/PhysRefData/MolSpe/Diatomi/index.html[39℄ Carey G.F., Dinh H.T., Grading funtions and mesh redistribution //J. Numer. Anal. 1985. Vol. 22. P. 1028.[40℄ Kostrykin V.V., Kvitsinsky A.A., Merkuriev S.P., Faddeev approah tothe three-body problem in total-angular-momentum representation //Few-Body Systems. 1989. Vol.
6. P. 97-113.231[41℄ Hu C.-Y., KvitsinskyA. A., Faddeev alulation of the dt µ− mesimoleule. // Physial Review A. 1992. Vol. 46, P. 7301.[42℄ Hu C.-Y., Kvitsinsky A. A, Merkuriev S. P., Diret solution of theFaddeev equations for the three-body Coulomb problem with L= 0. //Physial Review A 1992. Vol. 45, P. 2723.[43℄ Kvitsinsky A.A., Wu A., Hu, C.Y., Sattering of eletrons and positronson hydrogen using the Faddeev equations. J. Phys. B 1992. Vol.
28,P. 275.[44℄ Roudnev V.A., Yakovlev S.L., Soanos S.A., Bound State Calulationsfor Three Atoms Without Expliit Partial Wave Deomposition // FewBody Systems. 2005. Vol. 37. P. 179.[45℄ Roudnev V.A., Ultra-low energy elasti sattering in a system of threeHe atoms // Chem. Phys. Lett. 2003. Vol. 367. P. 95.[46℄ Roudnev V.A., Loalized omponent method: appliation to satteringin a system of three He atoms // Nul. Phys. A.
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