50 citations · 141 across the 8 of their papers we have counts for
8 papers
Exact Foldy-Wouthuysen transformation for a Dirac equation describing the interaction of spin-1/2 relativistic particles with an external electromagnetic field
Bruno Gonçalves, Mário M. Dias Júnior, Larissa F. Eleotério
The Thomas-Bargmann-Michel-Telegdi (T-BMT) equation is derived using the Exact Foldy-Wouthuysen transformation. Extra new terms were found, and we discuss their possible physical a…
The Peculiar Phase Structure of Random Graph Bisection
Allon G. Percus, Gabriel Istrate, Bruno Goncalves +2
The mincut graph bisection problem involves partitioning the n vertices of a graph into disjoint subsets, each containing exactly n/2 vertices, while minimizing the number of "cut"…
Geometry and Dynamics for Hierarchical Regular Networks
S. Boettcher, B. Goncalves, J. Azaret
The recently introduced hierarchical regular networks HN3 and HN4 are analyzed in detail. We use renormalization group arguments to show that HN3, a 3-regular planar graph, has a d…
Anomalous Diffusion on the Hanoi Networks
S. Boettcher, B. Goncalves
Diffusion is modeled on the recently proposed Hanoi networks by studying the mean- square displacement of random walks with time, <r^2>~t^{2/d_w}. It is found that diffusion - the…
Hierarchical, Regular Small-World Networks
S. Boettcher, B. Goncalves, H. Guclu
Two new classes of networks are introduced that resemble small-world properties. These networks are recursively constructed but retain a fixed, regular degree. They consist of a on…
Magnetic Reversal Time in Open Long Range Systems
F. Borgonovi, G. L. Celardo, B. Goncalves +1
Topological phase space disconnection has been recently found to be a general phenomenon in isolated anisotropic spin systems. It sets a general framework to understand the emergen…