The Spatial Dimension of the Bethe Lattice: Lattice Dynamical Consideration
Open Access
- 1 November 1978
- journal article
- Published by Oxford University Press (OUP) in Progress of Theoretical Physics
- Vol. 60 (5) , 1249-1259
- https://doi.org/10.1143/ptp.60.1249
Abstract
Lattice dynamics of the Bethe lattice is treated exactly by application of the infinite order perturbation theory. The frequency spectrum is obtained for usual Bethe lattice including the one-dimensional chain with the coordination number z≥2, and then z is analytically continued to the region 1≤z2 is determined to be infinite.Keywords
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