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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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Hot tail runaway electron generation in tokamak disruptions

TL;DR: Aymar et al. as discussed by the authors derived analytical estimates of the density of produced runaway electrons for cases of exponential-like temperature decay with a cooling rate lower than the collision frequency, and compared the strength of the hot tail runaway generation with the Dreicer mechanism for different disruption parameters (cooling rate, post-thermal quench temperature, and electron density) assuming that no losses of runaway electrons occur.
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Life at the Interface of Particle Physics and String Theory

TL;DR: A review of recent advances in this area can be found in this paper, focusing especially on the last decade and focusing on string theory, which has been increasing evidence that string theory gives an answer few people initially expected: a large landscape of possibilities that can be realized in a multiverse and populated by eternal inflation.
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Hypoellipticity on the heisenberg group-representation-theoretic criteria

TL;DR: In this article, a representation-theoretic characterization for hypoel-lipticity of homogeneous (with respect to dilations) left-invariant differential operators P on the Heisenberg group Hn is given; it is the precise analogue for R' that a homogeneous constant-coefficient differential operator is hypoelliptic if and only if it is elliptic.
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Exact solutions for time-dependent phenomena in quantum mechanics

TL;DR: In this article, the authors review and discuss exact solutions for selected initial value problems, including simple oscillator problems (forced harmonic oscillators, tunneling through a parabolic barrier, frequency modulated oscillator, Heisenberg microscope), and discuss various techniques which can be used to calculate propagators.
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High Order Corrections in the Relativistic Perturbation Theory with the Model Zeroth Approximation, Mg-Like and Ne-Like Ions

TL;DR: In this paper, the relativistic perturbation theory is applied to the solution of the many-electron Dirac equation, and the theoretical consideration is accomplished for some Mg-like ions: S V, Ca IX, Ti XI and Fe XV.