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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| Published in: | Вопросы атомной науки и техники |
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| Date: | 2001 |
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| Format: | Article |
| Language: | English |
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Національний науковий центр «Харківський фізико-технічний інститут» НАН України
2001
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/79435 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862681366495232000 |
|---|---|
| author | Nikishov, A.I. |
| author_facet | Nikishov, A.I. |
| 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. |
| collection | DSpace DC |
| container_title | 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.
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| first_indexed | 2025-12-07T15:49:11Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-79435 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1562-6016 |
| language | English |
| last_indexed | 2025-12-07T15:49:11Z |
| publishDate | 2001 |
| publisher | Національний науковий центр «Харківський фізико-технічний інститут» НАН України |
| record_format | dspace |
| spelling | Nikishov, A.I. 2015-04-01T19:51:30Z 2015-04-01T19:51:30Z 2001 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 https://nasplib.isofts.kiev.ua/handle/123456789/79435 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. I am greatly indebted to Prof. V.L. Ginzburg, who showed me article [11], discussed it and urged me to expound my understanding of the problem and points of disagreement with other authors. This work was supported in part by the Russian Foundation for Basic Research (projects №00-15-96566 and №01-02-30024). en Національний науковий центр «Харківський фізико-технічний інститут» НАН України Вопросы атомной науки и техники Electrodynamics of high energies in matter and strong fields On the theory of scalar pair production by a potential barrier К теории образования скалярных пар потенциальным барьером Article published earlier |
| spellingShingle | On the theory of scalar pair production by a potential barrier Nikishov, A.I. Electrodynamics of high energies in matter and strong fields |
| title | On the theory of scalar pair production by a potential barrier |
| title_alt | К теории образования скалярных пар потенциальным барьером |
| 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_short | On the theory of scalar pair production by a potential barrier |
| title_sort | on the theory of scalar pair production by a potential barrier |
| topic | Electrodynamics of high energies in matter and strong fields |
| topic_facet | Electrodynamics of high energies in matter and strong fields |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/79435 |
| work_keys_str_mv | AT nikishovai onthetheoryofscalarpairproductionbyapotentialbarrier AT nikishovai kteoriiobrazovaniâskalârnyhparpotencialʹnymbarʹerom |