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

• 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

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.