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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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Calculation of transmission tunneling current across arbitrary potential barriers

Yuji Ando, +1 more
TL;DR: In this paper, a multistep potential approximation method was proposed to calculate quantum mechanical transmission probability and current across arbitrary potential barriers by using the multi-stage potential approximation, which is applicable to various potential barriers and wells, including continuous variations of potential energy and electron effective mass.
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Mean-field description of ground-state properties of drip-line nuclei: Pairing and continuum effects

TL;DR: Ground-state properties of exotic even-even nuclei with extreme neutron-to-proton ratios are described in the framework of self-consistent mean-field theory with pairing formulated in coordinate space, which properly accounts for the influence of the particle continuum.
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Semiclassical Theory of Electronic Transitions in Low Energy Atomic and Molecular Collisions Involving Several Nuclear Degrees of Freedom

TL;DR: In this article, a semiclassical theory for describing electronic transitions in low energy atomic and molecular collisions, such as A+BC, that involve quantized nuclear degrees of freedom (i.e., rotation and vibration) as well as translation is developed.
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Resolution of complex tissue microarchitecture using the diffusion orientation transform (DOT).

TL;DR: An accurate and fast method for fiber orientation mapping using multidirectional diffusion-weighted magnetic resonance (MR) data using the Fourier transform relationship between the water displacement probabilities and diffusion-attenuated MR signal expressed in spherical coordinates is described.
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Self-focusing and guiding of short laser pulses in ionizing gases and plasmas

TL;DR: In this article, the wave equations for laser pulse propagation in a gas undergoing ionization and in a plasma are derived, and the source-dependent expansion method is discussed, which is a general method for solving the paraxial wave equation with nonlinear source terms.