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9 papers · 1 filter
Noncommutative two-tori with real multiplication as noncommutative projective varieties
Alexander Polishchuk
We define analogues of homogeneous coordinate algebras for noncommutative two-tori with real multiplication. We prove that the categories of standard holomorphic vector bundles on…
The Top Quark: Experimental Roots and Branches of Theory
E. H. Simmons
The CDF and D0 experiments at the Fermilab Tevatron have discovered the top quark and provided first measurements of many of its properties. The small top sample gathered by Run I…
Cyclotomic Swan subgroups and primitive roots
Timothy Kohl, Daniel Replogle
Let where is a primitive th root of unity. Let be prime and let denote the group of order The ring of algebraic integers of $K_…
Operation Time of Quantum Gates
Lev B. Levitin, Tommaso Toffoli, Zachary Walton
We consider a quantum gate that complements the state of a qubit and then adds to it an arbitrary phase shift. It is shown that the minimum operation time of the gate is tau = (h/4…
Dimerization induced by the RKKY interaction
J. C. Xavier, R. G. Pereira, E. Miranda +1
We report the presence of spin dimerization in the ground state of the one dimensional Kondo lattice model at quarter filling. The emergence of this new phase of the Kondo lattice…
Growth and Structure of Stochastic Sequences
E. Ben-Naim, P. L. Krapivsky
We introduce a class of stochastic integer sequences. In these sequences, every element is a sum of two previous elements, at least one of which is chosen randomly. The interplay b…