Spectral features of two-particle schrodinger operator on d-dimensiional lattice
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...
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2020
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my.utm.933322021-11-19T03:15:45Z http://eprints.utm.my/id/eprint/93332/ Spectral features of two-particle schrodinger operator on d-dimensiional lattice Mukhiddin, I. Muminov, M. I. Ghoshal, S. K. QA Mathematics 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. Birkhauser 2020 Article PeerReviewed 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 http://dx.doi.org/10.1007/s11785-019-00978-z DOI: 10.1007/s11785-019-00978-z |
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QA Mathematics Mukhiddin, I. Muminov, M. I. Ghoshal, S. K. Spectral features of two-particle schrodinger operator on d-dimensiional lattice |
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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. |
| format |
Article |
| author |
Mukhiddin, I. Muminov, M. I. Ghoshal, S. K. |
| author_facet |
Mukhiddin, I. Muminov, M. I. Ghoshal, S. K. |
| author_sort |
Mukhiddin, I. |
| title |
Spectral features of two-particle schrodinger operator on d-dimensiional lattice |
| title_short |
Spectral features of two-particle schrodinger operator on d-dimensiional lattice |
| title_full |
Spectral features of two-particle schrodinger operator on d-dimensiional lattice |
| title_fullStr |
Spectral features of two-particle schrodinger operator on d-dimensiional lattice |
| title_full_unstemmed |
Spectral features of two-particle schrodinger operator on d-dimensiional lattice |
| title_sort |
spectral features of two-particle schrodinger operator on d-dimensiional lattice |
| publisher |
Birkhauser |
| publishDate |
2020 |
| url |
http://eprints.utm.my/id/eprint/93332/ http://dx.doi.org/10.1007/s11785-019-00978-z |
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1717093454210662400 |
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13.159267 |