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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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Theory of charge transfer kinetics at solid-polar liquid interfaces

TL;DR: In this paper, a semi-phenomenological theory of charge transfer at solid-electrolyte solution interface was proposed, and the transition probability of transition between potential energy surfaces was investigated.
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Gauge transformations and quantum mechanics I. Gauge invariant interpretation of quantum mechanics

TL;DR: In this article, it was shown that probability amplitudes and transition matrix elements are gauge-invariant for a nonrelativistic spinless, spinless charged particle.
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High order closed Newton–Cotes trigonometrically-fitted formulae for the numerical solution of the Schrödinger equation

TL;DR: The closed Newton–Cotes formulae are studied and written as symplectic multilayer structures and trigonometrically-fitted symplectic methods are developed and applied to the well-known radial Schrodinger equation to investigate the efficiency of the proposed method.
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Exponential decay of energy of evolution equations with locally distributed damping

TL;DR: In this article, the authors consider an evolution equation with energy dissipation, where the dissipative perturbation may be due to medium impurities, viscous effects, or artificially imposed dampers and stabilizers.