The Emperor`s New Mind by Roger Penrose
... including the 1988 Wolf Prize for physics which he shared with Stephen Hawking for their joint contribution to our understanding of the universe. "Many mathematicians working in computer science propose that it will soon be possible to build computers capable of artificial intelligence, machines tha ...
... including the 1988 Wolf Prize for physics which he shared with Stephen Hawking for their joint contribution to our understanding of the universe. "Many mathematicians working in computer science propose that it will soon be possible to build computers capable of artificial intelligence, machines tha ...
Wigner function formalism in Quantum mechanics
... in classical physics under the influence of the potential U(x). Every point of the Wigner function follows a trajectory given by the Liouville equation, so the Wigner function manintains it’s shape as it evolves in phase space. Thus if the motion of the phase space distrubition is known for the clas ...
... in classical physics under the influence of the potential U(x). Every point of the Wigner function follows a trajectory given by the Liouville equation, so the Wigner function manintains it’s shape as it evolves in phase space. Thus if the motion of the phase space distrubition is known for the clas ...
Quantum fluctuations in modulated nonlinear oscillators Vittorio Peano and M I Dykman
... Here, Wmn are the rates of interstate transitions; anm ≡ hn|a|mi. We disregard tunneling when defining functions |ni ≡ ψn (Q), i.e. we use the wave functions localized about the extrema of g(Q, P); the effect of tunneling is exponentially small for λ 1 and |n − m| λ−1 . We count the localized st ...
... Here, Wmn are the rates of interstate transitions; anm ≡ hn|a|mi. We disregard tunneling when defining functions |ni ≡ ψn (Q), i.e. we use the wave functions localized about the extrema of g(Q, P); the effect of tunneling is exponentially small for λ 1 and |n − m| λ−1 . We count the localized st ...
Intersubjective Agreement in a Quantum-like
... 2006, the team of investigators reported that some effects supporting “digital biology” had been observed when Benveniste’s team was ...
... 2006, the team of investigators reported that some effects supporting “digital biology” had been observed when Benveniste’s team was ...
Observable and hidden singular features of large fluctuations
... the cusp point. The two other sheets of the surface Sa and of the LM are formed by the paths which have not touched a caustic. Only the solution with the smallest Sa (q) should be kept in (2) in the range of q where the distance between the sheets of Sa (q) greatly exceeds D. Therefore the top sheet ...
... the cusp point. The two other sheets of the surface Sa and of the LM are formed by the paths which have not touched a caustic. Only the solution with the smallest Sa (q) should be kept in (2) in the range of q where the distance between the sheets of Sa (q) greatly exceeds D. Therefore the top sheet ...
2.3 Lecture 7: Binary collisions
... By expanding the left hand site in powers of ”t and keeping only linear terms we get the transport equation ˆ p ˆ ˆ f (q, p, t) + ...
... By expanding the left hand site in powers of ”t and keeping only linear terms we get the transport equation ˆ p ˆ ˆ f (q, p, t) + ...
Quantum-gravitational effects for inflationary perturbations and the
... quantum-gravitational effects influence these perturbations by canonically quantizing inflationary models, in which a scalar inflaton field drives the exponential expansion of the universe. At first, we analyze a simplified model, where we only add perturbations to the scalar field. Secondly, we con ...
... quantum-gravitational effects influence these perturbations by canonically quantizing inflationary models, in which a scalar inflaton field drives the exponential expansion of the universe. At first, we analyze a simplified model, where we only add perturbations to the scalar field. Secondly, we con ...
The book of abstracts - MECO 42
... A jamming scenario of frictional particles is discussed and interpreted in terms of a nonequilibrium first order phase transition [1]. Results of numerical simulations will be presented and analyzed in the framework of a simple model which can account for both, the continuous frictionless case and t ...
... A jamming scenario of frictional particles is discussed and interpreted in terms of a nonequilibrium first order phase transition [1]. Results of numerical simulations will be presented and analyzed in the framework of a simple model which can account for both, the continuous frictionless case and t ...
Interconnection Networks for Scalable Quantum Computers
... lack of systematic techniques for moving such information within the fabric of a quantum computer. This paper seeks to address the latter problem. It would appear that quantum computers must reach a capacity to process and store a few thousand quantum bits (or “qubits”) before becoming competitive w ...
... lack of systematic techniques for moving such information within the fabric of a quantum computer. This paper seeks to address the latter problem. It would appear that quantum computers must reach a capacity to process and store a few thousand quantum bits (or “qubits”) before becoming competitive w ...
A relevant two qubit Bell inequality inequivalent to the CHSH
... the past-generated set, but such inequalities are less useful for detecting non-local correlations. An inequality will describe a (d2 − 1)-dimensional hyperplane, and so has d2 components. Some of these faces are equivalent. For example, when defining the experiment, ‘we have to decide which particl ...
... the past-generated set, but such inequalities are less useful for detecting non-local correlations. An inequality will describe a (d2 − 1)-dimensional hyperplane, and so has d2 components. Some of these faces are equivalent. For example, when defining the experiment, ‘we have to decide which particl ...
pdf
... a numerical integrator that preserve the geometric structure. It is worth noting that Heller [20] decouples the classical and quantum parts of the dynamics and only recognizes the classical part as a Hamiltonian system, whereas Faou and Lubich [10] show that the whole system is Hamiltonian. 1.2. Mai ...
... a numerical integrator that preserve the geometric structure. It is worth noting that Heller [20] decouples the classical and quantum parts of the dynamics and only recognizes the classical part as a Hamiltonian system, whereas Faou and Lubich [10] show that the whole system is Hamiltonian. 1.2. Mai ...