Three-Diagonal Blocks of Two-Magnon Hamiltonians with Specified Wave Numbers for Heisenberg Rings |
| M. Labuza, J. Milewskib
aDepartment of Theoretical Physics, Faculty of Mathematics and Natural Sciences, University of Rzeszów, S. Pigonia 1, 35-310 Rzeszów, Poland bInstitute of Mathematics, Faculty of Electrical Engineering, Poznań University of Technology, Piotrowo 3A, 60-965 Poznań, Poland |
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| We demonstrate the method of creating blocks of Hamiltonian matrices for Heisenberg rings with N nodes and r=2 overturned spins, depending on total quasimomentum k. Initial problem of dimension ≤ft(N\atop2\right) reduces, approximately, N-tuply, depending on N and k numbers. We consider block Hamiltonians using a particular basis, called wavelet basis. In this basis, these blocks take three-diagonal form. |
DOI:10.12693/APhysPolA.135.1255 PACS numbers: 75.10.Jm, 03.65.Fd, 02.10.Ud, 02.10.De |