Computational method for the long time propagation of quantum channeled particles in crystals and carbon nanotubes
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2014
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This work reports on the computational method for the long time propagation of the quantum channeled particles in infinite and finite harmonic interaction wells and in a realistic carbon nanotube interaction potential well. This method is based on the Chebyshev global propagation method for solving of the corresponding time dependent Schrodinger equation. For comparison, the computational method based on the Crank-Nicolson propagation method is also presented. In the case of quantum particle motion in infinite harmonic potential well, when the analytical solution of the corresponding time-dependent Schrodinger equation exists, we show that the obtained propagation method is efficient, very accurate and numerically stable. It is superior with respect to the method based on the Crank Nicolson propagation method. A detailed study of the long time quantum particle motion in the finite harmonic interaction potential well shows that the obtained computational method based on the Chebyshev gl...obal propagation method can be successfully applied for following of the channeled quantum particle in crystals and carbon nanotubes. This is demonstrated in the case of quantum particle motion in a realistic carbon nanotube interaction potential well.
Ključne reči:
Channeling effect / Time-dependent Schrodinger equation / Chebyshev global propagationIzvor:
Nuclear Instruments and Methods in Physics Research. Section B: Beam Interactions with Materials and Atoms, 2014, 330, 33-41Finansiranje / projekti:
- Fizika i hemija sa jonskim snopovima (RS-MESTD-Integrated and Interdisciplinary Research (IIR or III)-45006)
DOI: 10.1016/j.nimb.2014.03.015
ISSN: 0168-583X; 1872-9584
WoS: 000337016800006
Scopus: 2-s2.0-84899017500
Institucija/grupa
VinčaTY - JOUR AU - Ćosić, Marko AU - Petrović, Srđan M. AU - Nešković, Nebojša B. PY - 2014 UR - https://vinar.vin.bg.ac.rs/handle/123456789/6030 AB - This work reports on the computational method for the long time propagation of the quantum channeled particles in infinite and finite harmonic interaction wells and in a realistic carbon nanotube interaction potential well. This method is based on the Chebyshev global propagation method for solving of the corresponding time dependent Schrodinger equation. For comparison, the computational method based on the Crank-Nicolson propagation method is also presented. In the case of quantum particle motion in infinite harmonic potential well, when the analytical solution of the corresponding time-dependent Schrodinger equation exists, we show that the obtained propagation method is efficient, very accurate and numerically stable. It is superior with respect to the method based on the Crank Nicolson propagation method. A detailed study of the long time quantum particle motion in the finite harmonic interaction potential well shows that the obtained computational method based on the Chebyshev global propagation method can be successfully applied for following of the channeled quantum particle in crystals and carbon nanotubes. This is demonstrated in the case of quantum particle motion in a realistic carbon nanotube interaction potential well. T2 - Nuclear Instruments and Methods in Physics Research. Section B: Beam Interactions with Materials and Atoms T1 - Computational method for the long time propagation of quantum channeled particles in crystals and carbon nanotubes VL - 330 SP - 33 EP - 41 DO - 10.1016/j.nimb.2014.03.015 ER -
@article{ author = "Ćosić, Marko and Petrović, Srđan M. and Nešković, Nebojša B.", year = "2014", abstract = "This work reports on the computational method for the long time propagation of the quantum channeled particles in infinite and finite harmonic interaction wells and in a realistic carbon nanotube interaction potential well. This method is based on the Chebyshev global propagation method for solving of the corresponding time dependent Schrodinger equation. For comparison, the computational method based on the Crank-Nicolson propagation method is also presented. In the case of quantum particle motion in infinite harmonic potential well, when the analytical solution of the corresponding time-dependent Schrodinger equation exists, we show that the obtained propagation method is efficient, very accurate and numerically stable. It is superior with respect to the method based on the Crank Nicolson propagation method. A detailed study of the long time quantum particle motion in the finite harmonic interaction potential well shows that the obtained computational method based on the Chebyshev global propagation method can be successfully applied for following of the channeled quantum particle in crystals and carbon nanotubes. This is demonstrated in the case of quantum particle motion in a realistic carbon nanotube interaction potential well.", journal = "Nuclear Instruments and Methods in Physics Research. Section B: Beam Interactions with Materials and Atoms", title = "Computational method for the long time propagation of quantum channeled particles in crystals and carbon nanotubes", volume = "330", pages = "33-41", doi = "10.1016/j.nimb.2014.03.015" }
Ćosić, M., Petrović, S. M.,& Nešković, N. B.. (2014). Computational method for the long time propagation of quantum channeled particles in crystals and carbon nanotubes. in Nuclear Instruments and Methods in Physics Research. Section B: Beam Interactions with Materials and Atoms, 330, 33-41. https://doi.org/10.1016/j.nimb.2014.03.015
Ćosić M, Petrović SM, Nešković NB. Computational method for the long time propagation of quantum channeled particles in crystals and carbon nanotubes. in Nuclear Instruments and Methods in Physics Research. Section B: Beam Interactions with Materials and Atoms. 2014;330:33-41. doi:10.1016/j.nimb.2014.03.015 .
Ćosić, Marko, Petrović, Srđan M., Nešković, Nebojša B., "Computational method for the long time propagation of quantum channeled particles in crystals and carbon nanotubes" in Nuclear Instruments and Methods in Physics Research. Section B: Beam Interactions with Materials and Atoms, 330 (2014):33-41, https://doi.org/10.1016/j.nimb.2014.03.015 . .