Global ETD Search
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Showing 1 to 5 of 5 for “"time-dependent potentials"”.
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Interacting atoms in time-dependent potentials and artificial gauge fields
… in the simulation of artificial gauge fields via time-modulated tuning of system parameters and via the coupling of internal atomic states by Raman lasers. A second aspect will be the study of systems with synthetic dimensions and the effects of the unconventional infinite range interactions that …
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Global SL(2,R) representations of the Schrödinger equation with time-dependent potentials.
… of the one-dimensional Schrödinger equation with time-dependent potentials that possess sl₂-symmetry. We give explicit local intertwining maps to multiplier representations and show that the study of the solution space for potentials of the form V (t, x) = g₂(t)x²+g₁(t)x+g₀ (t) reduces to the …
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The Kinetics and Thermodynamics of Oxygen in Nickel, Palladium, and Niobium-Vanadium Solid Solutions (Diffusion, Solubility, Electrochemistry)
… electrodes and was monitored by measuring time-dependent potentials and/or currents. The following results were obtained for the diffusivities and terminal solubilities of oxygen in nickel and palladium: D (Ni) = 4.9 x 10('-2) exp(-((164 kJ/mole)/RT)) cm('2)/sec (850-1400(DEGREES)C); …
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Enhanced transport through confined channels by stationary and fluctuating potentials
… of particles through the channel is a hundred times higher with respect to free diffusion across the channel. Our findings reveal the effect of time dependent potentials on particle transport across a channel. This work adds a new tool for the investigation of highly controlled membrane …
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High accuracy computational methods for the semiclassical Schrödinger equation
… quadratically with higher orders of accuracy. Time-dependent potentials are tackled by developing commutator-free Magnus expansions in our Lie algebra, which are subsequently split using the Zassenhaus algorithm. We present two approaches for developing arbitrarily high-order Magnus--Zassenhaus …