Quantum and classical effects at scattering of high energy charged particles in thin crystals
Электронный архив ТПУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
| Заглавие |
Quantum and classical effects at scattering of high energy charged particles in thin crystals
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| Автор |
Shul’ga, N. F.
Shulga, S. N. |
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| Тематика |
relativistic electrons
approximation thin crystals релятивистские электроны квантовая теория рассеяния распределение эйконалы тонкие кристаллы |
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| Описание |
The present work reviews the results concerning quantum scattering theory of ultrarelativistic electrons in ultrathin crystals and itscomparison with analogous classical results. It deals with an intermediate range of thicknesses, large enough for that the particlemotion could not be considered as rectilinear but small enough for that the channeling regime of motion was not established. Thequantum theory is based both upon the representation of the scattering amplitude as an integral over the surface surrounding thetarget, and on the so-called operator method of determination of the wave function as a solution of a Schro..dinger-like equation.The latter method implies a wide use of the Fourier technique, both in calculation of each next step in the wave packet evolution,and in moving from the spatial coordinates to the angular ones. The authors compare the quantum differential scattering cross-sec-tions with the classical ones in the considered range of crystal thicknesses and show their resemblances, distinctions and the evo-lution of these distinctions with the change of the particle energy. The simplest variant of quantum scattering theory based uponthe eikonal approximation of quantum mechanics is considered. In the paper the quantum differential scattering cross-section wascalculated and its affinity with the classical one was demonstrated. In the preparation of these lecture notes the material of the paper[4] was used.
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| Дата |
2018-10-29T02:40:38Z
2018-10-29T02:40:38Z 2018 |
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| Тип |
Article
Published version (info:eu-repo/semantics/publishedVersion) Journal article (info:eu-repo/semantics/article) |
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| Идентификатор |
Shul’ga N. F. Quantum and classical effects at scattering of high energy charged particles in thin crystals / N. F. Shul’ga, S. N. Shulga // Resource-Efficient Technologies. — 2018. — № 2. — [P. 5-11].
2405-6537 http://earchive.tpu.ru/handle/11683/51440 10.18799/24056537/2018/2/189 |
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| Язык |
en
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| Связанные ресурсы |
Resource-Efficient Technologies. 2018. № 2
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| Права |
Open access (info:eu-repo/semantics/openAccess)
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| Формат |
application/pdf
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| Издатель |
Томский политехнический университет
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| Источник |
Resource-Efficient Technologies
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