Mukhiddin, I. and Muminov, M. I. and Ghoshal, S. K. (2020) Spectral features of two-particle schrodinger operator on d-dimensiional lattice. Complex Analysis and Operator Theory, 14 (1). ISSN 1661-8254
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Official URL: http://dx.doi.org/10.1007/s11785-019-00978-z
Abstract
This paper reports the spectral features of two-particle Schrödinger Hamiltonian operator on d-dimensional lattice Zd. A family of operators h(k) was emanated after the “separation of the center of mass” of a system of two particles depending on the values of total quasimomentum k∈ Td, (where Td is d-dimensional torus). A sufficiency condition was achieved for the finiteness of the number of embedded and discrete eigenvalues of h(k) for any fixed k∈ Td.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | two-particle hamiltonian on lattice,lattice schrödinger operator, discrete spectrum |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Science |
| ID Code: | 93332 |
| Deposited By: | Narimah Nawil |
| Deposited On: | 19 Nov 2021 03:15 |
| Last Modified: | 19 Nov 2021 03:15 |
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