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035 _a(RuTPU)RU\TPU\prd\280649
035 _aRU\TPU\prd\280648
090 _a580790
100 _a20181019a2018 k y0rusy50 ba
101 0 _aeng
102 _aRU
135 _adrcn ---uucaa
181 0 _ai
182 0 _ab
200 1 _aQuantum and classical effects at scattering of high energy charged particles in thin crystals
_fN. F. Shul’ga, S. N. Shulga
203 _aText
_celectronic
215 _a1 файл(9095 Кб)
230 _aЭлектронные текстовые данные (1 файл: 9095 Кб)
300 _aTitle screen
320 _a[References: p. 11 (15 tit.)]
330 _aThe 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.
461 1 _0(RuTPU)RU\TPU\prd\247369
_x2405-6537
_tResource-Efficient Technologies
_oelectronic scientific journal
_fNational Research Tomsk Polytechnic University (TPU)
_d2015-
463 1 _0(RuTPU)RU\TPU\prd\280647
_tNo 2
_v[P. 5-11]
_d2018
610 1 _aтруды учёных ТПУ
610 1 _aэлектронный ресурс
610 1 _arelativistic electrons
610 1 _aapproximation
610 1 _athin crystals
610 1 _aрелятивистские электроны
610 1 _aквантовая теория рассеяния
610 1 _aраспределение
610 1 _aэйконалы
610 1 _aтонкие кристаллы
700 1 _aShul’ga
_bN. F.
701 1 _aShulga
_bS. N.
801 1 _aRU
_b63413507
_c20090623
_gPSBO
801 2 _aRU
_b63413507
_c20181029
_gPSBO
856 4 _uhttp://www.ojs.tpu.ru/index.php/res-eff/article/view/189/166
856 4 _uhttp://earchive.tpu.ru/handle/11683/51440
856 4 _uhttps://doi.org/10.18799/24056537/2018/2/189
942 _cBK