On the theory of scalar pair production by a potential barrier
The problem of the scalar pair production by a one-dimensional vector-potential Am(x₃) is reduced to the S-matrix formalism of the theory with an unstable vacuum. Our choice of in- and out-states does not coincide with that of other authors and we argue extensively in favor of our choice. We show th...
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Дата: | 2001 |
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Автор: | |
Формат: | Стаття |
Мова: | English |
Опубліковано: |
Національний науковий центр «Харківський фізико-технічний інститут» НАН України
2001
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Назва видання: | Вопросы атомной науки и техники |
Теми: | |
Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/79435 |
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Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
Цитувати: | On the theory of scalar pair production by a potential barrier / A.I. Nikishov // Вопросы атомной науки и техники. — 2001. — № 6. — С. 103-109. — Бібліогр.: 20 назв. — англ. |
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irk-123456789-794352015-04-02T03:01:58Z On the theory of scalar pair production by a potential barrier Nikishov, A.I. Electrodynamics of high energies in matter and strong fields The problem of the scalar pair production by a one-dimensional vector-potential Am(x₃) is reduced to the S-matrix formalism of the theory with an unstable vacuum. Our choice of in- and out-states does not coincide with that of other authors and we argue extensively in favor of our choice. We show that the norm of a solution of the wave equation is determined by one of the amplitude of its asymptotic form for x₃→±∞. For the constant electric field we obtain the scalar particle propagator in terms of the stationary states and show that with our choice of in- and out-states it has the form dictated by the general theory. 2001 Article On the theory of scalar pair production by a potential barrier / A.I. Nikishov // Вопросы атомной науки и техники. — 2001. — № 6. — С. 103-109. — Бібліогр.: 20 назв. — англ. 1562-6016 PACS: 11.55Ds; 12.20Ds; 03.80+r http://dspace.nbuv.gov.ua/handle/123456789/79435 en Вопросы атомной науки и техники Національний науковий центр «Харківський фізико-технічний інститут» НАН України |
institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
collection |
DSpace DC |
language |
English |
topic |
Electrodynamics of high energies in matter and strong fields Electrodynamics of high energies in matter and strong fields |
spellingShingle |
Electrodynamics of high energies in matter and strong fields Electrodynamics of high energies in matter and strong fields Nikishov, A.I. On the theory of scalar pair production by a potential barrier Вопросы атомной науки и техники |
description |
The problem of the scalar pair production by a one-dimensional vector-potential Am(x₃) is reduced to the S-matrix formalism of the theory with an unstable vacuum. Our choice of in- and out-states does not coincide with that of other authors and we argue extensively in favor of our choice. We show that the norm of a solution of the wave equation is determined by one of the amplitude of its asymptotic form for x₃→±∞. For the constant electric field we obtain the scalar particle propagator in terms of the stationary states and show that with our choice of in- and out-states it has the form dictated by the general theory. |
format |
Article |
author |
Nikishov, A.I. |
author_facet |
Nikishov, A.I. |
author_sort |
Nikishov, A.I. |
title |
On the theory of scalar pair production by a potential barrier |
title_short |
On the theory of scalar pair production by a potential barrier |
title_full |
On the theory of scalar pair production by a potential barrier |
title_fullStr |
On the theory of scalar pair production by a potential barrier |
title_full_unstemmed |
On the theory of scalar pair production by a potential barrier |
title_sort |
on the theory of scalar pair production by a potential barrier |
publisher |
Національний науковий центр «Харківський фізико-технічний інститут» НАН України |
publishDate |
2001 |
topic_facet |
Electrodynamics of high energies in matter and strong fields |
url |
http://dspace.nbuv.gov.ua/handle/123456789/79435 |
citation_txt |
On the theory of scalar pair production by a potential barrier / A.I. Nikishov // Вопросы атомной науки и техники. — 2001. — № 6. — С. 103-109. — Бібліогр.: 20 назв. — англ. |
series |
Вопросы атомной науки и техники |
work_keys_str_mv |
AT nikishovai onthetheoryofscalarpairproductionbyapotentialbarrier |
first_indexed |
2023-10-18T19:18:41Z |
last_indexed |
2023-10-18T19:18:41Z |
_version_ |
1796146571530731520 |