Channeling radiation from relativistic electrons in a thin LiF crystal

When is a classical description valid?

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

Calculation of channeling radiation from relativistic electrons under (1 1 1) planar channeling conditions in a LiF crystal is performed using both classical and quantum methods. The complicated shape of the periodic (1 1 1) planar potential allows the existence of a different number of discrete energy levels (quantum states) in the potential well formed by planes consisting of only Li atoms and the potential well consisting of only F atoms is large enough to apply the classical method. With increasing electrons energy, the classical method becomes valid to describe CR from under-barrier electrons in a deeper potential well, while one should still apply the quantum method to calculate CR from electrons in neighboring planes. Thus, the quantum feature of a CR spectrum from relativistic electrons maintains its quantum characteristics up to relativistic factors 1000.

Original languageEnglish
Pages (from-to)3858-3862
Number of pages5
JournalNuclear Instruments and Methods in Physics Research, Section B: Beam Interactions with Materials and Atoms
Volume266
Issue number17
DOIs
Publication statusPublished - 1 Sep 2008

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Radiation
Crystals
Electrons
radiation
crystals
electrons
Atoms
atoms
energy levels
Electron energy levels
electron energy

Keywords

  • Channeling radiation
  • LiF crystal
  • Relativistic electrons

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Instrumentation

Cite this

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title = "Channeling radiation from relativistic electrons in a thin LiF crystal: When is a classical description valid?",
abstract = "Calculation of channeling radiation from relativistic electrons under (1 1 1) planar channeling conditions in a LiF crystal is performed using both classical and quantum methods. The complicated shape of the periodic (1 1 1) planar potential allows the existence of a different number of discrete energy levels (quantum states) in the potential well formed by planes consisting of only Li atoms and the potential well consisting of only F atoms is large enough to apply the classical method. With increasing electrons energy, the classical method becomes valid to describe CR from under-barrier electrons in a deeper potential well, while one should still apply the quantum method to calculate CR from electrons in neighboring planes. Thus, the quantum feature of a CR spectrum from relativistic electrons maintains its quantum characteristics up to relativistic factors 1000.",
keywords = "Channeling radiation, LiF crystal, Relativistic electrons",
author = "Bogdanov, {O. V.} and Korotchenko, {K. B.} and Pivovarov, {Yu L.} and Tukhfatullin, {T. A.}",
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T1 - Channeling radiation from relativistic electrons in a thin LiF crystal

T2 - When is a classical description valid?

AU - Bogdanov, O. V.

AU - Korotchenko, K. B.

AU - Pivovarov, Yu L.

AU - Tukhfatullin, T. A.

PY - 2008/9/1

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N2 - Calculation of channeling radiation from relativistic electrons under (1 1 1) planar channeling conditions in a LiF crystal is performed using both classical and quantum methods. The complicated shape of the periodic (1 1 1) planar potential allows the existence of a different number of discrete energy levels (quantum states) in the potential well formed by planes consisting of only Li atoms and the potential well consisting of only F atoms is large enough to apply the classical method. With increasing electrons energy, the classical method becomes valid to describe CR from under-barrier electrons in a deeper potential well, while one should still apply the quantum method to calculate CR from electrons in neighboring planes. Thus, the quantum feature of a CR spectrum from relativistic electrons maintains its quantum characteristics up to relativistic factors 1000.

AB - Calculation of channeling radiation from relativistic electrons under (1 1 1) planar channeling conditions in a LiF crystal is performed using both classical and quantum methods. The complicated shape of the periodic (1 1 1) planar potential allows the existence of a different number of discrete energy levels (quantum states) in the potential well formed by planes consisting of only Li atoms and the potential well consisting of only F atoms is large enough to apply the classical method. With increasing electrons energy, the classical method becomes valid to describe CR from under-barrier electrons in a deeper potential well, while one should still apply the quantum method to calculate CR from electrons in neighboring planes. Thus, the quantum feature of a CR spectrum from relativistic electrons maintains its quantum characteristics up to relativistic factors 1000.

KW - Channeling radiation

KW - LiF crystal

KW - Relativistic electrons

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