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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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An exponentially-fitted Runge-Kutta method for the numerical integration of initial-value problems with periodic or oscillating solutions
TL;DR: An exponentially-fitted Runge-Kutta method for the numerical integration of initial-vakue problems with periodic or oscillating solutions with efficiency results obtained show the efficiency of the new method.
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A novel algorithm for non-adiabatic direct dynamics using variational Gaussian wavepackets
TL;DR: This work presents the first direct dynamics calculations using a novel algorithm, based on the powerful multi-configuration time-dependent Hartree (MCTDH) wavepacket propagation method, that provides a feasible direct dynamics algorithm for the description of this non-adiabatic process.
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Three-Body Recombination of Ultracold Atoms to a Weakly Bound s Level.
TL;DR: In the zero temperature limit, a universal relation is obtained for the (event) rate constant of three-body recombination: 3.9 {h_bar}{ital a}{sup 4}/{ital m}, where {ital m} is the atom mass.
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Deformed shape invariance and exactly solvable Hamiltonians with position-dependent effective mass
TL;DR: In this article, the shape-invariant superpotential of the Schrodinger equation is taken as effective potentials in a position-dependent effective mass (PDEM) one.
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Classical theory of tachyons (Special relativity extended to superluminal frames and objects)
TL;DR: In this article, a logical introduction to superluminal reference frames is given, along with a group of generalized relativistic Lorentz transformations (GLT) elements.