Authors
Abstract
The dynamic of a charged quantum particle in a system of arrays of quantum well in tight-binding model, under the effect an external field, in one and two dimension, is studied by algebraic approach. The persistent (quantum confinement) and transmission (quantum teleportaion) probabilities of this quantum particle in terms of infinite-variable Bessel functions is calculated and the results is discussed by numerical method.
Keywords
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2. A R Kolovsky and H J Korsch, Phys. Rev. A 67 (2003) 063601.
3. B P Anderson and M A Kasevich, “Macroscopic Quantum Interference from Atomic Tunnel Arrays”, Science 27 (1998) 1686.
4. R Walters, “Ultra-cold Atoms in Optical Lattices: Simulating Quantum Spin Systems”, Ph.D. Thesis, Oxford University (2012).
5. B P Anderson and M A Kasevich, Science 282 (1998) 1686.
6. .A R Kolovsky and H J Korsch, International J. Mod. Phys. 18 (2004) 1235.
7. S Whitlock, R Gerritsma, T Fernholz, and R J C Spreeuw, New Journal of Physics 11 (2009) 023021.
8. H J Korsch and S Mossmann, Phys. Lett. A 317 (2003) 54.
9. S Mossmann, A Schulze, D Witthaut, and H J Korsch, J. Phys. A: Math. Gen. 38 (2005) 3381.
10. T Hartman, F Keck, H J Korsch, and S Mossmann, New J. Phys. 6 (2004) 2.
11. L Galue, H G Khajah, S L Kalla, J. Computational and Applied Mathematics 118 (2000) 143.
12. F Keck and H J Korsch, J. Phys. A: Math. Gen. 35 (2002) L105.
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