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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.

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Main Authors: Khalmukhamedov, O. R., Rakhimov, Abdumalik, Kuchkarov,, E
Format: Article
Language:English
English
English
Published: Institute for Mathematical Research (INSPEM), Universiti Putra Malaysia 2016
Subjects:
QA Mathematics
Online Access: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
http://irep.iium.edu.my/50615/
http://einspem.upm.edu.my/journal/fullpaper/vol10sfeb/No6.pdf
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spelling my.iium.irep.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 REM 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 http://einspem.upm.edu.my/journal/fullpaper/vol10sfeb/No6.pdf
institution Universiti Islam Antarabangsa Malaysia
building IIUM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider International Islamic University Malaysia
content_source IIUM Repository (IREP)
url_provider http://irep.iium.edu.my/
language English
English
English
topic QA Mathematics
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
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.
format Article
author Khalmukhamedov, O. R.
Rakhimov, Abdumalik
Kuchkarov,, E
author_facet Khalmukhamedov, O. R.
Rakhimov, Abdumalik
Kuchkarov,, E
author_sort Khalmukhamedov, O. R.
title 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_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_sort on the lower bound of spectrum of the schrödinger’s operator for some multi-particle systems
publisher Institute for Mathematical Research (INSPEM), Universiti Putra Malaysia
publishDate 2016
url 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
http://irep.iium.edu.my/50615/
http://einspem.upm.edu.my/journal/fullpaper/vol10sfeb/No6.pdf
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score 13.211869

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