The Analytic Continuation of the Lippmann-Schwinger Eigenfunctions, and Antiunitary Symmetries
We review the way to analytically continue the Lippmann-Schwinger bras and kets into the complex plane. We will see that a naive analytic continuation leads to nonsensical results in resonance theory, and we will explain how the non-obvious but correct analytical continuation is done. We will see th...
Збережено в:
| Дата: | 2009 |
|---|---|
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2009
|
| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/149163 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | The Analytic Continuation of the Lippmann-Schwinger Eigenfunctions, and Antiunitary Symmetries / R. de la Madrid // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 52 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-149163 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1491632019-02-20T01:25:05Z The Analytic Continuation of the Lippmann-Schwinger Eigenfunctions, and Antiunitary Symmetries de la Madrid, R. We review the way to analytically continue the Lippmann-Schwinger bras and kets into the complex plane. We will see that a naive analytic continuation leads to nonsensical results in resonance theory, and we will explain how the non-obvious but correct analytical continuation is done. We will see that the physical basis for the non-obvious but correct analytic continuation lies in the invariance of the Hamiltonian under anti-unitary symmetries such as time reversal or PT. 2009 Article The Analytic Continuation of the Lippmann-Schwinger Eigenfunctions, and Antiunitary Symmetries / R. de la Madrid // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 52 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 81S99; 81U15 http://dspace.nbuv.gov.ua/handle/123456789/149163 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
We review the way to analytically continue the Lippmann-Schwinger bras and kets into the complex plane. We will see that a naive analytic continuation leads to nonsensical results in resonance theory, and we will explain how the non-obvious but correct analytical continuation is done. We will see that the physical basis for the non-obvious but correct analytic continuation lies in the invariance of the Hamiltonian under anti-unitary symmetries such as time reversal or PT. |
| format |
Article |
| author |
de la Madrid, R. |
| spellingShingle |
de la Madrid, R. The Analytic Continuation of the Lippmann-Schwinger Eigenfunctions, and Antiunitary Symmetries Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
de la Madrid, R. |
| author_sort |
de la Madrid, R. |
| title |
The Analytic Continuation of the Lippmann-Schwinger Eigenfunctions, and Antiunitary Symmetries |
| title_short |
The Analytic Continuation of the Lippmann-Schwinger Eigenfunctions, and Antiunitary Symmetries |
| title_full |
The Analytic Continuation of the Lippmann-Schwinger Eigenfunctions, and Antiunitary Symmetries |
| title_fullStr |
The Analytic Continuation of the Lippmann-Schwinger Eigenfunctions, and Antiunitary Symmetries |
| title_full_unstemmed |
The Analytic Continuation of the Lippmann-Schwinger Eigenfunctions, and Antiunitary Symmetries |
| title_sort |
analytic continuation of the lippmann-schwinger eigenfunctions, and antiunitary symmetries |
| publisher |
Інститут математики НАН України |
| publishDate |
2009 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/149163 |
| citation_txt |
The Analytic Continuation of the Lippmann-Schwinger Eigenfunctions, and Antiunitary Symmetries / R. de la Madrid // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 52 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT delamadridr theanalyticcontinuationofthelippmannschwingereigenfunctionsandantiunitarysymmetries AT delamadridr analyticcontinuationofthelippmannschwingereigenfunctionsandantiunitarysymmetries |
| first_indexed |
2023-05-20T17:32:28Z |
| last_indexed |
2023-05-20T17:32:28Z |
| _version_ |
1796153526766796800 |