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20022011
most citedSemiclassical Dynamics of Electron Wave Packet States with Phase Vortices

357 citations

Showing 2009Show all

10 papers · 1 filter

math.PR2009

On the Borel-Cantelli Lemma and its Generalization

Chunrong Feng, Liangpan Li, Jian Shen

Let be a sequence of events on a probability space . We show that if

math.NT20096 cited

Fourier analysis and expanding phenomena in finite fields

Derrick Hart, Liangpan Li, Chun-Yen Shen

In this paper the authors study set expansion in finite fields. Fourier analytic proofs are given for several results recently obtained by Solymosi, Vinh and Vu using spectral grap…

quant-ph2009

Non-linear dynamics, entanglement and the quantum-classical crossover of two coupled SQUID rings

M. J. Everitt

We explore the quantum-classical crossover of two coupled, identical, superconducting quantum interference device (SQUID) rings. We note that the motivation for this work is based…

cond-mat.mes-hall200943 cited

Model of the Influence of an External Magnetic Field on the Gain of Terahertz Radiation from Semiconductor Superlattices

Timo Hyart, Jussi Mattas, Kirill N. Alekseev

We theoretically analyze the influence of magnetic field on small-signal absorption and gain in a superlattice. We predict a very large and tunable THz gain due to nonlinear cyclot…

nlin.SI200930 cited

Generalisations of the Camassa-Holm equation

Vladimir Novikov

We classify generalised Camassa-Holm type equations which possess infinite hierarchies of higher symmetries. We show that the obtained equations can be treated as negative flows of…

cond-mat.quant-gas20091 cited

Zero-temperature phase transitions in dilute bosonic superfluids on a lattice

A. S. Alexandrov, I. O. Thomas

Kinetic energy driven phase transitions in Bose superfluids occur at low values of the repulsion when the values of the next-to-nearest and next-to-next-to-nearest hopping term att…