Spectral features of two-particle schrodinger operator on d-dimensiional lattice

• Main Authors: Mukhiddin, I., Muminov, M. I., Ghoshal, S. K.
• Format: Article
• Published: Birkhauser 2020
• Subjects: QA Mathematics
• Online Access: http://eprints.utm.my/id/eprint/93332/; http://dx.doi.org/10.1007/s11785-019-00978-z
• Institution: Universiti Teknologi Malaysia

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...