Spectral features of two-particle schr–dinger 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 d...
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| Format: | Article |
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Springer Nature Switzerland AG 2020
2020
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| _version_ | 1796864547245522944 |
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| author | Muminov, M. K. Ghoshal, S. K. |
| author_facet | Muminov, M. K. Ghoshal, S. K. |
| author_sort | Muminov, M. K. |
| collection | ePrints |
| description | 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. |
| first_indexed | 2024-03-05T20:43:31Z |
| format | Article |
| id | utm.eprints-87969 |
| institution | Universiti Teknologi Malaysia - ePrints |
| last_indexed | 2024-03-05T20:43:31Z |
| publishDate | 2020 |
| publisher | Springer Nature Switzerland AG 2020 |
| record_format | dspace |
| spelling | utm.eprints-879692020-11-30T13:43:59Z http://eprints.utm.my/87969/ Spectral features of two-particle schr–dinger operator on d-dimensiional lattice Muminov, M. K. Ghoshal, S. K. QC Physics 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. Springer Nature Switzerland AG 2020 2020 Article PeerReviewed Muminov, M. K. and Ghoshal, S. K. (2020) Spectral features of two-particle schr–dinger operator on d-dimensiional lattice. Complex Analysis and Operator Theory, 14 (1). http://www.dx.doi.org/10.1007/s11785-019-00978-z DOI: 10.1007/s11785-019-00978-z |
| spellingShingle | QC Physics Muminov, M. K. Ghoshal, S. K. Spectral features of two-particle schr–dinger operator on d-dimensiional lattice |
| title | Spectral features of two-particle schr–dinger operator on d-dimensiional lattice |
| title_full | Spectral features of two-particle schr–dinger operator on d-dimensiional lattice |
| title_fullStr | Spectral features of two-particle schr–dinger operator on d-dimensiional lattice |
| title_full_unstemmed | Spectral features of two-particle schr–dinger operator on d-dimensiional lattice |
| title_short | Spectral features of two-particle schr–dinger operator on d-dimensiional lattice |
| title_sort | spectral features of two particle schr dinger operator on d dimensiional lattice |
| topic | QC Physics |
| work_keys_str_mv | AT muminovmk spectralfeaturesoftwoparticleschrdingeroperatoronddimensiionallattice AT ghoshalsk spectralfeaturesoftwoparticleschrdingeroperatoronddimensiionallattice |