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. [Basis JOZJ0 = a J

已有 253 次阅读  2011-12-14 06:16   标签mulberry  taske 
,franklin marshall
With single-frequency two-photon process when the exact solution and Berry phase factor


≈ E (f) l,ralph lauren outlet, f> (23) that j (?) approximate eigenstate of the Japanese (f) of the eigenstates, and we know the system is always in the original , (?) eigenstates, so the above limit, the system will always be similar in the day (f) of the eigenstates, which is the usual sense of the adiabatic approximation needs ∞. So in the above limit,mulberry outlet, the use of (21), (22) and (18) the system can be obtained after a week in the parameter space derived from the adiabatic evolution of the total phase. Set the system time evolution period r, the immediate (r) day (o), from (18) and (22), we have Lu - (r) = an anal one (guitar). [Basis JOZJ0 = a J: E () a 2 + Ji). (Ji pumping I) (24) where E_ (f) by (13) and (21) is given. Where the first item on the kinetic phase, the second term is the Berry phase factor, that is) = a (2 +1) shz [Ji threatened a (g /) l (25) 2) g, ∞ and with time. But t,ed hardy vaatteet, snow and small enough, you can ignore (4) and (5) where the parameters of the derivative, that is A-, D ≈, so ≈ a,ugg outlet, 5 ≈ Ji f a (g / ∞), so ( 23) is still similar to the establishment, by (18), we obtain the Berry phase factor (c) eleven (+ Kat) ({pumping spit. (Ji threatened g / w) d ~ (26) Section l6, No. 3 Lai Yunzhong and so on. Ancient light in the course of a single double-whip the exact solution and Berry phase 3 results and discussion apply Park 1) This single frequency obtained the exact solution of two-photon process,mulberry, and find the limit of the quantum adiabatic Berry phase factor. 2) If the praise n = (population + a-F) / 2, n: = a a-F) / 2i. Then the mean square error can be expressed as △ Ⅱ: [ a ()] {i = 1,mulberry norge,2 by (9) and (10),uggs nederland, we obtain △ = {(2 +1) [c25 + sh2 pop s △ n: = {(2 +1) [c25 a sh2s From the above equation, if it,abercrombie düsseldorf, s time-but cyclical changes, the n. And alternating component will be compressed phenomenon known as References 1M. V. Berry. Proc. Roy. Soe. London,mulberry tasker, 1984, A392l452A. Shapperetal, GeometricPhaseinPhys. WOr1dScientific, Singapore (1989) 3M. H. Engineereta1. J. Ph. 1988, A21l954D. A. Morales. J. Ph. 1988,abercrombie madrid, A21l8895H. R. LeWiseta1. J. Math. Ph. , 1969.10 {14586 high Xiaochun, Xu Jingbo, Qian Zheng trowel. Physics. 1991,4 o25TheExactSolutiontotheTime-dependentSingleFrequencyTwo-photonProcessandItsBerryPhaseLaiYunzhongTangHongming (Dept.otBasicSdenceITaiyuanHeavyMaeh.that.ITaiyuan030024) AbstractInthispapertheexactsolutiontothetime-dependentsinglefrequencytwo-photonprocessisdiscussedbyusingthetheoryofinvarlantsofLewisandRiesenfeld,mulberry, TheadiabaticapproachoftheexactsolutionisdiscussedandtheBerryphaseoftheprocessisobtainedinthecaseofquantumadiabaticprocess. KeyWordstime-dependenttwo-photonprocess; berryphase
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