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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| Main Authors: | , , |
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| Format: | Article |
| Published: |
Birkhauser
2020
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| Subjects: | |
| Online Access: | http://eprints.utm.my/id/eprint/93332/ http://dx.doi.org/10.1007/s11785-019-00978-z |
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| Institution: | Universiti Teknologi Malaysia |
| Summary: | 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. |
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