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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.read more
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Optimizing a Hybrid Two-Step Method for the Numerical Solution of the Schrödinger Equation and Related Problems with Respect to Phase-Lag
TL;DR: This work studies how the vanishing of the phase-lag and its derivatives optimizes the efficiency of the hybrid two-step method for the numerical solution of the radial Schrodinger equation and related problems with periodic or oscillating solutions.
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The modification of electron energy levels by impurity atoms
TL;DR: In this article, the influence of localized impurities in solids may be represented either by (i) the effect of randomly distributed classical scattering centers for which only averaged quantities are meaningful or, as proved in this paper, by an equivalent quantum description which incorporates both the random character and the process of averaging.
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Stochastic Dynamical Structure (SDS) of Nonequilibrium Processes in the Absence of Detailed Balance. IV: Emerging of Stochastic Dynamical Equalities and Steady State Thermodynamics from Darwinian Dynamics
TL;DR: In this paper, the authors show that the stochasticity in Darwinian dynamics implies the existence temperature, hence the canonical distribution of Boltzmann-Gibbs type, and the Second Law of thermodynamics is dynamically demonstrated without detailed balance condition, and is valid regardless of size of the system.
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Nuclear spin conversion in polyatomic molecules
TL;DR: In this article, it was shown that the gas-phase ortho-para conversion is governed by intramolecular mixing of the nuclear spin states, and the role of direct orthopara transitions is small.
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Geometry and non-adiabatic response in quantum and classical systems
Michael Kolodrubetz,Michael Kolodrubetz,Michael Kolodrubetz,Dries Sels,Dries Sels,Pankaj Mehta,Anatoli Polkovnikov +6 more
TL;DR: In this paper, the authors explore the connections between non-adiabatic response of a system with respect to macroscopic parameters and the geometry of quantum and classical states, and highlight applications of this formalism to deriving counter-diabatic (dissipationless) driving protocols in various systems, as well as to finding equations of motion for slow macroscopy parameters coupled to fast microscopic degrees of freedom.