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NANOSYSTEMS: PHYSICS, CHEMISTRY, MATHEMATICS, 2016, 7 (5), P. 880–887

Spectral properties of a two–particle hamiltonian on a d-dimensional lattice

M. I. Muminov – Universiti Teknologi Malaysia (UTM), 81310 Skudai, Johor Bahru, Malaysia; mmuminov@mail.ru
A. M. Khurramov – Department of Mechaniical and Mathematics, Samarkand State University, Uzbekistan; xurramov@mail.ru

A system of two arbitrary quantum particles moving on d-dimensional lattice interacting via some attractive potential is considered. The number of eigenvalues of the family h(k) is studied depending on the interaction energy of particles and the total quasi-momentum k∈Td (Td – d-dimensional torus). Depending on the interaction energy, the conditions for h(0) that has simple or multifold virtual level at 0 are found.

Keywords: two-particle hamiltonian, virtual level, multiplicity of virtual level.

DOI 10.17586/2220-8054-2016-7-5-880-887

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  166. Woah! I’m really loving the template/theme of this site. It’s simple, yet effective. A lot of times it’s very difficult to get that “perfect balance” between user friendliness and visual appearance. I must say that you’ve done a fantastic job with this. Also, the blog loads super fast for me on Opera. Superb Blog!

  167. You should take part in a contest for one of the best blogs on the web. I will recommend this site!

  168. Hey! I know this is kinda off topic but I was wondering which blog platform are you using for this site? I’m getting fed up of WordPress because I’ve had issues with hackers and I’m looking at options for another platform. I would be awesome if you could point me in the direction of a good platform.

  169. I like what you guys are up also. Such intelligent work and reporting! Keep up the superb works guys I?¦ve incorporated you guys to my blogroll. I think it’ll improve the value of my web site :)

  170. Good day! Do you use Twitter? I’d like to follow you if that would be okay. I’m definitely enjoying your blog and look forward to new posts.

  171. I’m curious to find out what blog platform you are utilizing? I’m having some minor security issues with my latest website and I would like to find something more safeguarded. Do you have any suggestions?

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