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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my.utm.879692020-11-30T13:43:59Z http://eprints.utm.my/id/eprint/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 |
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QC Physics Muminov, M. K. Ghoshal, S. K. Spectral features of two-particle schr–dinger 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 |
Muminov, M. K. Ghoshal, S. K. |
| author_facet |
Muminov, M. K. Ghoshal, S. K. |
| author_sort |
Muminov, M. K. |
| title |
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_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_sort |
spectral features of two-particle schr–dinger operator on d-dimensiional lattice |
| publisher |
Springer Nature Switzerland AG 2020 |
| publishDate |
2020 |
| url |
http://eprints.utm.my/id/eprint/87969/ http://www.dx.doi.org/10.1007/s11785-019-00978-z |
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1685579016933736448 |