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elements of quantum mechanics
elements of quantum mechanics

I (x) - Boston University Physics Department.
I (x) - Boston University Physics Department.

... predominantly in the transverse directions. This renders bad signal to noise. In the interference method this is advantage: ...
Hidden symmetries in the energy levels of excitonic `artificial atoms`
Hidden symmetries in the energy levels of excitonic `artificial atoms`

... dominant at the low-energy side of X while the exciton line fades away. Then the biexciton emission decreases, while a new s-shell emission line emerges at slightly lower energies. Simultaneously, intense emission from the p shell appears at an energy 50 meV higher. In the further evolution of the s ...
Elements of Optimal Control Theory Pontryagin’s Maximum Principle
Elements of Optimal Control Theory Pontryagin’s Maximum Principle

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Principles of Statistical Mechanics and the

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... those machines can be explained by classical logic and information theory. However, quantum computers exploit the phenomena of superposition and entanglement which are fundamental issues in quantum mechanics [Nielsen00]. Thus quantum computers have additional features than their counterpart classic ...
1203.3054v2
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... Special relativity forbids superluminal influences. No-signalling (NS) principle is necessary for consistency of the theory of relativity and quantum mechanics. Any generalization of quantum theory, e.g., introducing nonlinear time evolution, must take the NS principle into account. It has been clai ...
Interlayer coupling in Co/Si sandwich structures
Interlayer coupling in Co/Si sandwich structures

... quantum-well states in the low-energy region and the movement of the peaks in the middle-energy region suggest that the behavior of the states near the Fermi level could be described qualitatively with a simple quantum-well model. The states at the bottom of the well are similar for both spins and f ...
Multi-component fractional quantum Hall states in graphene: S U(4
Multi-component fractional quantum Hall states in graphene: S U(4

... because the Zeeman energy is very small compared to the cyclotron energy, thus producing the state with the smallest spin polarization. However, for FQHE, the Zeeman energy can be of the order of the effective cyclotron energy of composite fermions, and therefore many different spin polarizations oc ...
Newton`s cradle analogue with Bose
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... Classical machines represent a smart way to transmit insight of physical mechanisms concealed into nature. Quantum Mechanics has been one of the most prolific sources of unexpected phenomena, but is often hard to understand. Thus, finding a classical machine which is a paradigm for the quantum natur ...
ppt - University of New Mexico
ppt - University of New Mexico

Calculation of state selective field ionization of hydrogen atoms in a
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... about the z-axis are conserved; if the electric field is changing then only the canonical angular momentum about the z-axis is conserved. During every run, we monitored the accuracy with which the conserved variables remain unchanged. Any run that gave too large a change in a conserved quantity was ...
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... It is easy to verify that the von Neumann entropy satisfies the above axioms. Furthermore, it can be shown that (up to a constant factor, which may be fixed by an additional normalization axiom) the von Neumann entropy is essentially the only function satisfying the above postulates [12]. This resul ...
Microscopic theory for quantum mirages in quantum corrals D. Porras, J. Ferna´ndez-Rossier,
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... the presence of the corral is accounted for by replacing the plane waves, which diagonalize the free-surface electron Hamiltonian, by the corral states. Throughout the paper, we neglect the magnetic moment of the corral atoms. This is justified because the mirage appears also when the corral atoms a ...
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How to test the “quantumness” of a quantum computer? Miroslav Grajcar
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... enough quantum processor (adiabatic, gate-based, etc) and even to test it for “quantumness” using classical tools, is the elephant in the room, and it may effectively restrict any further progress. Even taking the optimistic view, that quantum computing is not fundamentally restricted (by, e.g., lim ...
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... In a remarkable paper, Levin and Wen defined a family of rigorously solvable lattice spin Hamiltonians for a large class of 2D topological phases of matter based on stringnet, called the Levin–Wen model [1]. The Levin–Wen model takes a unitary fusion category C as input, and as output, realizes the t ...
Revised B. Sc. Honours in Physics (under CBCS) w.e.f. 2015-2018
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Semiclassical theory of helium atom
Semiclassical theory of helium atom

... (iii) unbound continuum states at energies above the two particle fragmentation threshold that are not considered here. States of category (i) are composed of one electron in a hydrogen-type ground state with quantum number N = 1 and the second electron being excited with energy levels (labeled by n ...
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Moments of Satisfaction: Statistical Properties of a Large Random K-CNF formula
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... M. When the rst moment is smaller than 1, the vast majority of formulae are un-satis able. In the language of statistical physics the logarithm of the rst moment is referred as the annealed approximation to the zerotemperature entropy of the satisfying assignments. This approximation ignores the ...
pptx - Harvard Condensed Matter Theory group
pptx - Harvard Condensed Matter Theory group

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Renormalization group



In theoretical physics, the renormalization group (RG) refers to a mathematical apparatus that allows systematic investigation of the changes of a physical system as viewed at different distance scales. In particle physics, it reflects the changes in the underlying force laws (codified in a quantum field theory) as the energy scale at which physical processes occur varies, energy/momentum and resolution distance scales being effectively conjugate under the uncertainty principle (cf. Compton wavelength).A change in scale is called a ""scale transformation"". The renormalization group is intimately related to ""scale invariance"" and ""conformal invariance"", symmetries in which a system appears the same at all scales (so-called self-similarity). (However, note that scale transformations are included in conformal transformations, in general: the latter including additional symmetry generators associated with special conformal transformations.)As the scale varies, it is as if one is changing the magnifying power of a notional microscope viewing the system. In so-called renormalizable theories, the system at one scale will generally be seen to consist of self-similar copies of itself when viewed at a smaller scale, with different parameters describing the components of the system. The components, or fundamental variables, may relate to atoms, elementary particles, atomic spins, etc. The parameters of the theory typically describe the interactions of the components. These may be variable ""couplings"" which measure the strength of various forces, or mass parameters themselves. The components themselves may appear to be composed of more of the self-same components as one goes to shorter distances.For example, in quantum electrodynamics (QED), an electron appears to be composed of electrons, positrons (anti-electrons) and photons, as one views it at higher resolution, at very short distances. The electron at such short distances has a slightly different electric charge than does the ""dressed electron"" seen at large distances, and this change, or ""running,"" in the value of the electric charge is determined by the renormalization group equation.
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