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.

Bibliographic Details
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/ 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

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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
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
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/ 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
first_indexed	2023-09-18T21:11:32Z
last_indexed	2023-09-18T21:11:32Z
_version_	1777411285769519104

On the lower bound of spectrum of the Schrödinger’s operator for some multi-particle systems

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