Quantum primary rainbows in transmission of positrons through very short carbon nanotubes
Само за регистроване кориснике
2016
Чланак у часопису (Објављена верзија)
Метаподаци
Приказ свих података о документуАпстракт
This paper is devoted to a quantum mechanical consideration of the transmission of positrons of a kinetic energy of 1 MeV through very short (11, 9) single-wall chiral carbon nanotubes. The nanotube lengths are between 50 and 320 nm. The transmission process is determined by the rainbow effects. The interaction potential of a positron and the nanotube is deduced from the Molires interaction potential of the positron and a nanotube atom using the continuum approximation. We solve numerically the time-dependent Schrodinger equation, and calculate the spatial and angular distributions of transmitted positrons. The initial positron beam is assumed to be an ensemble of non-interacting Gaussian wave packets. We generate the spatial and angular distributions using the computer simulation method. The examination is focused on the spatial and angular primary rainbows. It begins with an analysis of the corresponding classical rainbows, and continues with a detailed investigation of the amplitude...s and phases of the wave functions of transmitted positrons. These analyses enable one to identify the principal and supernumerary primary rainbows appearing in the spatial and angular distributions. They also result in a detailed explanation of the way of their generation, which includes the effects of wriniding of each wave packet during its deflection from the nanotube wall, and of its concentration just before a virtual barrier lying close to the corresponding classical rainbow. The wrinkling of the wave packets occurs due to their internal focusing. In addition, the wave packets wrinkle in a mutually coordinated way. This explanation may induce new theoretical and experimental investigations of quantum rainbows occurring in various atomic collision processes.
Кључне речи:
Positron channeling / Carbon nanotubes / RainbowsИзвор:
Nuclear Instruments and Methods in Physics Research. Section B: Beam Interactions with Materials and Atoms, 2016, 373, 52-62Издавач:
- Elsevier
Финансирање / пројекти:
- Физика и хемија са јонским сноповима (RS-MESTD-Integrated and Interdisciplinary Research (IIR or III)-45006)
DOI: 10.1016/j.nimb.2016.03.019
ISSN: 0168-583X; 1872-9584
WoS: 000374364900009
Scopus: 2-s2.0-84960900495
Институција/група
VinčaTY - JOUR AU - Ćosić, Marko AU - Petrović, Srđan M. AU - Nešković, Nebojša B. PY - 2016 UR - https://vinar.vin.bg.ac.rs/handle/123456789/1029 AB - This paper is devoted to a quantum mechanical consideration of the transmission of positrons of a kinetic energy of 1 MeV through very short (11, 9) single-wall chiral carbon nanotubes. The nanotube lengths are between 50 and 320 nm. The transmission process is determined by the rainbow effects. The interaction potential of a positron and the nanotube is deduced from the Molires interaction potential of the positron and a nanotube atom using the continuum approximation. We solve numerically the time-dependent Schrodinger equation, and calculate the spatial and angular distributions of transmitted positrons. The initial positron beam is assumed to be an ensemble of non-interacting Gaussian wave packets. We generate the spatial and angular distributions using the computer simulation method. The examination is focused on the spatial and angular primary rainbows. It begins with an analysis of the corresponding classical rainbows, and continues with a detailed investigation of the amplitudes and phases of the wave functions of transmitted positrons. These analyses enable one to identify the principal and supernumerary primary rainbows appearing in the spatial and angular distributions. They also result in a detailed explanation of the way of their generation, which includes the effects of wriniding of each wave packet during its deflection from the nanotube wall, and of its concentration just before a virtual barrier lying close to the corresponding classical rainbow. The wrinkling of the wave packets occurs due to their internal focusing. In addition, the wave packets wrinkle in a mutually coordinated way. This explanation may induce new theoretical and experimental investigations of quantum rainbows occurring in various atomic collision processes. PB - Elsevier T2 - Nuclear Instruments and Methods in Physics Research. Section B: Beam Interactions with Materials and Atoms T1 - Quantum primary rainbows in transmission of positrons through very short carbon nanotubes VL - 373 SP - 52 EP - 62 DO - 10.1016/j.nimb.2016.03.019 ER -
@article{ author = "Ćosić, Marko and Petrović, Srđan M. and Nešković, Nebojša B.", year = "2016", abstract = "This paper is devoted to a quantum mechanical consideration of the transmission of positrons of a kinetic energy of 1 MeV through very short (11, 9) single-wall chiral carbon nanotubes. The nanotube lengths are between 50 and 320 nm. The transmission process is determined by the rainbow effects. The interaction potential of a positron and the nanotube is deduced from the Molires interaction potential of the positron and a nanotube atom using the continuum approximation. We solve numerically the time-dependent Schrodinger equation, and calculate the spatial and angular distributions of transmitted positrons. The initial positron beam is assumed to be an ensemble of non-interacting Gaussian wave packets. We generate the spatial and angular distributions using the computer simulation method. The examination is focused on the spatial and angular primary rainbows. It begins with an analysis of the corresponding classical rainbows, and continues with a detailed investigation of the amplitudes and phases of the wave functions of transmitted positrons. These analyses enable one to identify the principal and supernumerary primary rainbows appearing in the spatial and angular distributions. They also result in a detailed explanation of the way of their generation, which includes the effects of wriniding of each wave packet during its deflection from the nanotube wall, and of its concentration just before a virtual barrier lying close to the corresponding classical rainbow. The wrinkling of the wave packets occurs due to their internal focusing. In addition, the wave packets wrinkle in a mutually coordinated way. This explanation may induce new theoretical and experimental investigations of quantum rainbows occurring in various atomic collision processes.", publisher = "Elsevier", journal = "Nuclear Instruments and Methods in Physics Research. Section B: Beam Interactions with Materials and Atoms", title = "Quantum primary rainbows in transmission of positrons through very short carbon nanotubes", volume = "373", pages = "52-62", doi = "10.1016/j.nimb.2016.03.019" }
Ćosić, M., Petrović, S. M.,& Nešković, N. B.. (2016). Quantum primary rainbows in transmission of positrons through very short carbon nanotubes. in Nuclear Instruments and Methods in Physics Research. Section B: Beam Interactions with Materials and Atoms Elsevier., 373, 52-62. https://doi.org/10.1016/j.nimb.2016.03.019
Ćosić M, Petrović SM, Nešković NB. Quantum primary rainbows in transmission of positrons through very short carbon nanotubes. in Nuclear Instruments and Methods in Physics Research. Section B: Beam Interactions with Materials and Atoms. 2016;373:52-62. doi:10.1016/j.nimb.2016.03.019 .
Ćosić, Marko, Petrović, Srđan M., Nešković, Nebojša B., "Quantum primary rainbows in transmission of positrons through very short carbon nanotubes" in Nuclear Instruments and Methods in Physics Research. Section B: Beam Interactions with Materials and Atoms, 373 (2016):52-62, https://doi.org/10.1016/j.nimb.2016.03.019 . .