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What are Cycloatoms?. Robert E. Wagner Sophomore Intense Laser Physics Theory Unit Illinois State University. www.phy.ilstu.edu/ILP. Support: NSF, Res. Corp., and ISU Honors Program. Magnetic field. Laser. More Technical:. Use RK4 to solve this. Maximum speed v/c for each W.
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What are Cycloatoms? Robert E. Wagner Sophomore Intense Laser Physics Theory Unit Illinois State University www.phy.ilstu.edu/ILP Support: NSF, Res. Corp., and ISU Honors Program
Magnetic field Laser More Technical: Use RK4 to solve this
Maximum speed v/c for each W non- relativistic relativistic W wL
Can we use classical mechanics to approximate quantum???? |Y(r)|2 High probability realization in terms of classical particles Large density
Can we use classical mechanics to approximate quantum???? ? ? ? ?
choose s wisely: s too large s too small Summary 1. Pqm(r,t=0) => Pcl(r,t=0) 2. realize Pcl(r,t=0) in terms of 100,000 single trajectories 3. solve time evolution of each trajectory 4. compute a “smoothed” histogram = Pcl(r,t)
Non-relativistic Relativistic 0 75 150 y 500 x Orbits stay in phase Orbits dephase relativistically Time (in 2p/wL)
Relativistic Movie W=wL
Relativistic dephasing model relativistic (exact) dephasing model 0 75 150 500 Time replace W W + DW (V0)
Steady state spatial electron distributions Fractional resonances W = 1/2 wL W = 1/3 wL Multiple resonances W =wL W = 2 wL W = 3 wL Q. Su, R.E. Wagner, P.J. Peverly & RG, SPIE (in press)
Fractional Resonance W=1/2 wL
Fractional Resonance W=1/3 wL
Summary Relativity leads to new phenomena in the spatial and temporal dynamics • novel resonances => novel experiments • cycloatoms • dephasing [1] R.E. Wagner, Q. Su and R. Grobe, Phys. Rev. Lett. (April, 2000). [2] R.E. Wagner, Q. Su, and R. Grobe, Phys. Rev. A 60, 3233, 1999. [3] P.J. Peverly, R.E. Wagner, Q.Su and R. Grobe, Las. Phys. 10, 303 ( 2000). [4] Q. Su, R.E. Wagner, P.J. Peverly, and R. Grobe, SPIE (in press). [5] R.E. Wagner, P.J. Peverly, Q. Su and R. Grobe, Phys. Rev. A (in press). www.phy.ilstu.edu/ILP