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1944 Graphene – Synthesis, Characterization, Properties andGrAapphepnelicSyanthieosnis s In the case |β| < |α|, a drift motion of electrons and holes takes place in the right direction of the axis x1. For electrons E > 0, the family of classical drift trajectories are given by x1(t, γ) = (π1 − π1α2 − αβE )t + απ2 (cos Ωt − 1) + π1α2 − αβE sin Ωt, and Ω2Ω2 Ω3 x2(t,γ)= βE−π1α(cosΩt−1)+π2 sinΩt, Ω2 Ω whereΩ= α2−β2,t≥0,0≤γ<2π,and p1|t=0 =π1 =Ecosγ, p2|t=0 =π2 =Esinγ, E= π12+π2 >0. For holes E < 0, the family of classical drift trajectories are given by x1(t, γ) = −(π1 − π1α2 − αβE )t + απ2 (cos Ωt − 1) − π1α2 − αβE sin Ωt, Ω2Ω2 Ω3 p1|t=0 = π1 = |E|cosγ, 1 0.5 0 p2|t=0 = π2 = |E|sinγ, E = − π12 +π2 < 0. x2 −0.5 −1 −1.5 AB x2(t,γ)= βE−π1α(cosΩt−1)−π2 sinΩt, Ω2 Ω −2 −1 0 1 2x3 4 5 6 1 Fig. 2. Classical trajectories of electronic waveguide in magnetic and electrostatic fields.PDF Image | GRAPHENE SYNTHESIS CHARACTERIZATION PROPERTIES
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