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Current State of Quantum Computing
Current State of Quantum Computing

... from Bouriannoff he adds: “The exact nature of those technologies is not clear. However, we believe that we must look to alternative technologies which are out of equilibrium with the room temperature thermal environment. In the case of the binary switch, maintaining state against room temperature f ...
particle physics - Columbia University
particle physics - Columbia University

... Observation tells us that physical quantities are not continuous down to the smallest scales, but tend to be discrete. O.K., we can live with that. But QM has another surprise: if you look small enough, matter – that is, “particles” –start to exhibit wavelike behavior. We have already seen hints of ...
The Hierarchy of Hamiltonians for a Restricted Class of Natanzon
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... There are six leptons pairs (particle / antiparticle), three pairs of which have an electrical charge and three pairs of which do not. They appear to be point-like particles without internal structure. The best known lepton is the electron e. The other two charged leptons are the muon  and the tau ...
shp_05 - Columbia University
shp_05 - Columbia University

... Observation tells us that physical quantities are not continuous down to the smallest scales, but tend to be discrete. O.K., we can live with that. But QM has another surprise: if you look small enough, matter – that is, “particles” –start to exhibit wavelike behavior. We have already seen hints of ...
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... in three dimensions, and therefore to take into account the ‘atomistic’ distribution of impurities, and to include quantum confinement by solving the Schrödinger equation in the vertical direction. Three-dimensional semiclassical simulations of the effect of random dopants have appeared in the lite ...
Direct and Indirect Couplings in Coherent
Direct and Indirect Couplings in Coherent

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Canonical quantization

In physics, canonical quantization is a procedure for quantizing a classical theory, while attempting to preserve the formal structure, such as symmetries, of the classical theory, to the greatest extent possible.Historically, this was not quite Werner Heisenberg's route to obtaining quantum mechanics, but Paul Dirac introduced it in his 1926 doctoral thesis, the ""method of classical analogy"" for quantization, and detailed it in his classic text. The word canonical arises from the Hamiltonian approach to classical mechanics, in which a system's dynamics is generated via canonical Poisson brackets, a structure which is only partially preserved in canonical quantization.This method was further used in the context of quantum field theory by Paul Dirac, in his construction of quantum electrodynamics. In the field theory context, it is also called second quantization, in contrast to the semi-classical first quantization for single particles.
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