Gravitational Holographic Teleportation
... wavelength λi . Therefore, we can say that during a time interval Δt = λi c , a quantum of energy ΔE = Mgc2 varies. According to the uncertainty principle, the particle will be detected if Δt ≥ h ΔE , i.e., if λi c ≥ h M g c 2 or λi ≥ λ g 2π . This condition is usually ...
... wavelength λi . Therefore, we can say that during a time interval Δt = λi c , a quantum of energy ΔE = Mgc2 varies. According to the uncertainty principle, the particle will be detected if Δt ≥ h ΔE , i.e., if λi c ≥ h M g c 2 or λi ≥ λ g 2π . This condition is usually ...
Bending Dynamics of Acetylene: New Modes Born in Bifurcations of
... In this section we discuss important general features of the method of the critical points bifurcation analysis, in particular its analytic and scalable character; in the next section, we present details of implementation. The Hamiltonian in (18) is a nonintegrable system. In general, the dynamics o ...
... In this section we discuss important general features of the method of the critical points bifurcation analysis, in particular its analytic and scalable character; in the next section, we present details of implementation. The Hamiltonian in (18) is a nonintegrable system. In general, the dynamics o ...
Introduction to representation theory
... Very roughly speaking, representation theory studies symmetry in linear spaces. It is a beautiful mathematical subject which has many applications, ranging from number theory and combinatorics to geometry, probability theory, quantum mechanics and quantum field theory. Representation theory was born ...
... Very roughly speaking, representation theory studies symmetry in linear spaces. It is a beautiful mathematical subject which has many applications, ranging from number theory and combinatorics to geometry, probability theory, quantum mechanics and quantum field theory. Representation theory was born ...
Introduction to representation theory
... Very roughly speaking, representation theory studies symmetry in linear spaces. It is a beautiful mathematical subject which has many applications, ranging from number theory and combinatorics to geometry, probability theory, quantum mechanics and quantum field theory. Representation theory was born ...
... Very roughly speaking, representation theory studies symmetry in linear spaces. It is a beautiful mathematical subject which has many applications, ranging from number theory and combinatorics to geometry, probability theory, quantum mechanics and quantum field theory. Representation theory was born ...
Impossibility of the Counterfactual Computation for All Possible
... of the photon in the three arms of the nested MZI experiment (Fig. 3). Taking into account the evolution laws (5) and (6), we see that, indeed, the quantum state of the photon in these boxes is described by j i, and, given that the computer is transparent, detection by D1 corresponds to postselectio ...
... of the photon in the three arms of the nested MZI experiment (Fig. 3). Taking into account the evolution laws (5) and (6), we see that, indeed, the quantum state of the photon in these boxes is described by j i, and, given that the computer is transparent, detection by D1 corresponds to postselectio ...
Marblestone, Devoret..
... In this expression, brackets are placed around the linear part of the general function, while the nonlinear parts are put in parenthesis. Note that some of the coefficients Ai jk... may be zero. This way of writing an arbitrary Boolean function as a polynomial is known as the algebraic normal form, ...
... In this expression, brackets are placed around the linear part of the general function, while the nonlinear parts are put in parenthesis. Note that some of the coefficients Ai jk... may be zero. This way of writing an arbitrary Boolean function as a polynomial is known as the algebraic normal form, ...
Time-dependent density equation and perturbation th
... C n is normalized to unity. However, for consistence with the previous paper [2], we use the normalization given by Eq. (8). The density equation was left unsolved, despite its potential utility, for two decades. Davidson and Harriman [5] pointed out that the number of unknowns included in the dens ...
... C n is normalized to unity. However, for consistence with the previous paper [2], we use the normalization given by Eq. (8). The density equation was left unsolved, despite its potential utility, for two decades. Davidson and Harriman [5] pointed out that the number of unknowns included in the dens ...
Strong luminescence quantum-efficiency enhancement near prolate
... spectral shifts of plasmon resonances are properly described if this correction factor is included.15 A key advantage of the GN model is that it can be generalized to spheroidally shaped particles, using expansions in terms of an orthogonal set of eigenfunctions. Such an expansion is not known for e ...
... spectral shifts of plasmon resonances are properly described if this correction factor is included.15 A key advantage of the GN model is that it can be generalized to spheroidally shaped particles, using expansions in terms of an orthogonal set of eigenfunctions. Such an expansion is not known for e ...
Vector bundles and torsion free sheaves on degenerations of elliptic
... In this section we review some classical results about vector bundles on smooth curves. However, we provide non-classical proofs which, as we think, are simpler and fit well in our approach to coherent sheaves over singular curves. The behavior of the category of vector bundles on a smooth projectiv ...
... In this section we review some classical results about vector bundles on smooth curves. However, we provide non-classical proofs which, as we think, are simpler and fit well in our approach to coherent sheaves over singular curves. The behavior of the category of vector bundles on a smooth projectiv ...
Completeness and the zx-calculus
... Graphical languages offer intuitive and rigorous formalisms for quantum physics. They can be used to simplify expressions, derive equalities, and do computations. Yet in order to replace conventional formalisms, rigour alone is not sufficient: the new formalisms also need to have equivalent deductiv ...
... Graphical languages offer intuitive and rigorous formalisms for quantum physics. They can be used to simplify expressions, derive equalities, and do computations. Yet in order to replace conventional formalisms, rigour alone is not sufficient: the new formalisms also need to have equivalent deductiv ...
A Bird`s-Eye View of Density-Functional Theory
... A simple estimate of the computational complexity of this task is to imagine a real-space representation of Ψ on a mesh, in which each coordinate is discretized by using 20 mesh points (which is not very much). For N electrons, Ψ becomes a function of 3N coordinates (ignoring spin, and taking Ψ to b ...
... A simple estimate of the computational complexity of this task is to imagine a real-space representation of Ψ on a mesh, in which each coordinate is discretized by using 20 mesh points (which is not very much). For N electrons, Ψ becomes a function of 3N coordinates (ignoring spin, and taking Ψ to b ...
Quantum fluctuations in modulated nonlinear oscillators Vittorio Peano and M I Dykman
... the localized states off from the corresponding extremum, i.e. for a given extremum the state with n = 0 has gn closest to g(Q, P) at the extremum. An important feature of the rates Wmn is that, even for T = 0 (and thus n̄ = 0), there are transitions both toward and away from the extrema of g(Q, P). ...
... the localized states off from the corresponding extremum, i.e. for a given extremum the state with n = 0 has gn closest to g(Q, P) at the extremum. An important feature of the rates Wmn is that, even for T = 0 (and thus n̄ = 0), there are transitions both toward and away from the extrema of g(Q, P). ...