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Quantum Mechanics

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The article was published on 1961-01-01 and is currently open access. It has received 20079 citations till now. The article focuses on the topics: Adiabatic quantum computation.

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The regulation of inhomogeneous populations.

TL;DR: It is shown that dispersal produced by wholly random motion is incapable of exerting any stabilizing influence, but that the introduction of a suitable non-linearity into the dispersal behaviour of a species whose characteristics are otherwise wholly linear can lead to stabilization under a wide range of conditions.
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Non-linear effects in quasi-one-dimensional models of condensed matter theory

TL;DR: A survey of non-linear (soliton-like) effects in certain models of condensed matter theory is given in this paper, where the corresponding nonlinear evolution equations are obtained and examined with due respect for the existence of localized finite energy solutions.
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Dispersive shock waves and modulation theory

TL;DR: A comprehensive survey of the field of dispersive hydrodynamics can be found in this paper, where the authors use Whitham's averaging theory as the primary mathematical tool and review the rich mathematical developments over the past fifty years with an emphasis on physical applications.
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Resonantly-paired fermionic superfluids

TL;DR: In this article, a theory of a degenerate atomic Fermi gas, interacting through a narrow Feshbach resonance, whose position and therefore strength can be tuned experimentally, was presented.
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Microscopic approach to current-driven domain wall dynamics

TL;DR: In this article, the authors investigated the domain wall dynamics induced by electric current based on the $s$-$d$ exchange model, where the wall is treated as rigid and planar and is described by two collective coordinates.