Integral equations for the wave function of particle systems

Constructions of integral equations for the wave function of particle systems in bound states have been proposed in this work. We obtain the kernel of the Fredholm-type integral equation for an odd number of particles in explicit form. Besides, an integral equation that can be attributed to the clas...

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Опубліковано в: :Semiconductor Physics Quantum Electronics & Optoelectronics
Дата:2019
Автори: Avdonin, K.V., Kovalchuk, O.V.
Формат: Стаття
Мова:Англійська
Опубліковано: Інститут фізики напівпровідників імені В.Є. Лашкарьова НАН України 2019
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Онлайн доступ:https://nasplib.isofts.kiev.ua/handle/123456789/215495
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:Integral equations for the wave function of particle systems / K.V. Avdonin, O.V. Kovalchuk // Semiconductor Physics Quantum Electronics & Optoelectronics. — 2019. — Т. 22, № 3. — С. 319-322. — Бібліогр.: 10 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Avdonin, K.V.
Kovalchuk, O.V.
author_facet Avdonin, K.V.
Kovalchuk, O.V.
citation_txt Integral equations for the wave function of particle systems / K.V. Avdonin, O.V. Kovalchuk // Semiconductor Physics Quantum Electronics & Optoelectronics. — 2019. — Т. 22, № 3. — С. 319-322. — Бібліогр.: 10 назв. — англ.
collection DSpace DC
container_title Semiconductor Physics Quantum Electronics & Optoelectronics
description Constructions of integral equations for the wave function of particle systems in bound states have been proposed in this work. We obtain the kernel of the Fredholm-type integral equation for an odd number of particles in explicit form. Besides, an integral equation that can be attributed to the class of Volterra integral equations was built. Their equivalence to known equations in limiting cases has been shown.
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
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language English
last_indexed 2026-03-23T18:53:55Z
publishDate 2019
publisher Інститут фізики напівпровідників імені В.Є. Лашкарьова НАН України
record_format dspace
spelling Avdonin, K.V.
Kovalchuk, O.V.
2026-03-19T10:42:50Z
2019
Integral equations for the wave function of particle systems / K.V. Avdonin, O.V. Kovalchuk // Semiconductor Physics Quantum Electronics & Optoelectronics. — 2019. — Т. 22, № 3. — С. 319-322. — Бібліогр.: 10 назв. — англ.
1560-8034
PACS 02.30.Rz
https://nasplib.isofts.kiev.ua/handle/123456789/215495
https://doi.org/10.15407/spqeo22.03.319
Constructions of integral equations for the wave function of particle systems in bound states have been proposed in this work. We obtain the kernel of the Fredholm-type integral equation for an odd number of particles in explicit form. Besides, an integral equation that can be attributed to the class of Volterra integral equations was built. Their equivalence to known equations in limiting cases has been shown.
en
Інститут фізики напівпровідників імені В.Є. Лашкарьова НАН України
Semiconductor Physics Quantum Electronics & Optoelectronics
Hetero- and low-dimensional structures
Integral equations for the wave function of particle systems
Article
published earlier
spellingShingle Integral equations for the wave function of particle systems
Avdonin, K.V.
Kovalchuk, O.V.
Hetero- and low-dimensional structures
title Integral equations for the wave function of particle systems
title_full Integral equations for the wave function of particle systems
title_fullStr Integral equations for the wave function of particle systems
title_full_unstemmed Integral equations for the wave function of particle systems
title_short Integral equations for the wave function of particle systems
title_sort integral equations for the wave function of particle systems
topic Hetero- and low-dimensional structures
topic_facet Hetero- and low-dimensional structures
url https://nasplib.isofts.kiev.ua/handle/123456789/215495
work_keys_str_mv AT avdoninkv integralequationsforthewavefunctionofparticlesystems
AT kovalchukov integralequationsforthewavefunctionofparticlesystems