On the lower bound of spectrum of the Schrödinger’s operator for some multi-particle systems
For N - particle Schrödinger’s operator with Column potential with central charge equal Z, it is well known estimation N < 2Z +1, obtained by Lieb E. In the present paper the estimation obtained in case when there is a different interaction between particles.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English English English |
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Institute for Mathematical Research (INSPEM), Universiti Putra Malaysia
2016
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| Online Access: | http://irep.iium.edu.my/50615/ http://irep.iium.edu.my/50615/1/No6.pdf http://irep.iium.edu.my/50615/4/50615_on%20the%20lower%20bound%20of%20spectrum_scopus.pdf http://irep.iium.edu.my/50615/9/50615-On%20the%20lower%20bound%20of%20spectrum%20of%20the%20Schr%C3%B6dinger%E2%80%99s%20operator%20for%20some%20multi-particle%20systems_WOS.pdf |
| _version_ | 1848783678186979328 |
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| author | Khalmukhamedov, O. R. Rakhimov, Abdumalik Kuchkarov,, E |
| author_facet | Khalmukhamedov, O. R. Rakhimov, Abdumalik Kuchkarov,, E |
| author_sort | Khalmukhamedov, O. R. |
| building | IIUM Repository |
| collection | Online Access |
| description | For N - particle Schrödinger’s operator with Column potential with central charge equal Z, it is well known estimation N < 2Z +1, obtained by Lieb E. In the present paper the estimation obtained in case when there
is a different interaction between particles. |
| first_indexed | 2025-11-14T16:25:10Z |
| format | Article |
| id | iium-50615 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English English |
| last_indexed | 2025-11-14T16:25:10Z |
| publishDate | 2016 |
| publisher | Institute for Mathematical Research (INSPEM), Universiti Putra Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-506152017-10-17T05:05:21Z http://irep.iium.edu.my/50615/ On the lower bound of spectrum of the Schrödinger’s operator for some multi-particle systems Khalmukhamedov, O. R. Rakhimov, Abdumalik Kuchkarov,, E QA Mathematics For N - particle Schrödinger’s operator with Column potential with central charge equal Z, it is well known estimation N < 2Z +1, obtained by Lieb E. In the present paper the estimation obtained in case when there is a different interaction between particles. Institute for Mathematical Research (INSPEM), Universiti Putra Malaysia 2016-02 Article PeerReviewed application/pdf en http://irep.iium.edu.my/50615/1/No6.pdf application/pdf en http://irep.iium.edu.my/50615/4/50615_on%20the%20lower%20bound%20of%20spectrum_scopus.pdf application/pdf en http://irep.iium.edu.my/50615/9/50615-On%20the%20lower%20bound%20of%20spectrum%20of%20the%20Schr%C3%B6dinger%E2%80%99s%20operator%20for%20some%20multi-particle%20systems_WOS.pdf Khalmukhamedov, O. R. and Rakhimov, Abdumalik and Kuchkarov,, E (2016) On the lower bound of spectrum of the Schrödinger’s operator for some multi-particle systems. Malaysian Journal of Mathematical Sciences, 10 (S) (Part 1). pp. 61-74. ISSN 1823-8343 E-ISSN 2289-750X http://einspem.upm.edu.my/journal/fullpaper/vol10sfeb/No6.pdf |
| spellingShingle | QA Mathematics Khalmukhamedov, O. R. Rakhimov, Abdumalik Kuchkarov,, E On the lower bound of spectrum of the Schrödinger’s operator for some multi-particle systems |
| title | On the lower bound of spectrum of the Schrödinger’s operator for some multi-particle systems |
| title_full | On the lower bound of spectrum of the Schrödinger’s operator for some multi-particle systems |
| title_fullStr | On the lower bound of spectrum of the Schrödinger’s operator for some multi-particle systems |
| title_full_unstemmed | On the lower bound of spectrum of the Schrödinger’s operator for some multi-particle systems |
| title_short | On the lower bound of spectrum of the Schrödinger’s operator for some multi-particle systems |
| title_sort | on the lower bound of spectrum of the schrödinger’s operator for some multi-particle systems |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/50615/ http://irep.iium.edu.my/50615/ http://irep.iium.edu.my/50615/1/No6.pdf http://irep.iium.edu.my/50615/4/50615_on%20the%20lower%20bound%20of%20spectrum_scopus.pdf http://irep.iium.edu.my/50615/9/50615-On%20the%20lower%20bound%20of%20spectrum%20of%20the%20Schr%C3%B6dinger%E2%80%99s%20operator%20for%20some%20multi-particle%20systems_WOS.pdf |