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- Philsci
... laws: the guiding equation fixing the temporal development of the position of the particles, and the Schrödinger equation determining the temporal development of the universal wavefunction, that is, the wave-function of all the particles in the universe. These two laws are linked in this way: the ro ...
... laws: the guiding equation fixing the temporal development of the position of the particles, and the Schrödinger equation determining the temporal development of the universal wavefunction, that is, the wave-function of all the particles in the universe. These two laws are linked in this way: the ro ...
Integral and differential structures for quantum field theory
... Observe that by construction, we will have that θs (T (x)) = T (x) for any x ∈ M+ – a fact which ensures that (as claimed) we do then indeed have that T (x) ∈ M̂+ . Starting with the faithful normal semifinite weight ω, the prescription ω̂ = ω ◦ T yields a corresponding faithful normal semifinite we ...
... Observe that by construction, we will have that θs (T (x)) = T (x) for any x ∈ M+ – a fact which ensures that (as claimed) we do then indeed have that T (x) ∈ M̂+ . Starting with the faithful normal semifinite weight ω, the prescription ω̂ = ω ◦ T yields a corresponding faithful normal semifinite we ...
arXiv:1605.02181v1 [quant
... Teleportation [1] is arguably the most important discovery in quantum information. Teleportation enables the transfer of a quantum state of a system in one site to a system in a remote site. Teleportation requires a connection between the sites: an entanglement channel and a classical channel in whi ...
... Teleportation [1] is arguably the most important discovery in quantum information. Teleportation enables the transfer of a quantum state of a system in one site to a system in a remote site. Teleportation requires a connection between the sites: an entanglement channel and a classical channel in whi ...
Assessing the Nonequilibrium Thermodynamics in a
... implications for the statistics of work coming from considering processes described by operators that either commute or do not commute with the unperturbed Hamiltonian of a given system. We consider a quantum many-body system and derive an expression that allows us to give a physical interpretation, ...
... implications for the statistics of work coming from considering processes described by operators that either commute or do not commute with the unperturbed Hamiltonian of a given system. We consider a quantum many-body system and derive an expression that allows us to give a physical interpretation, ...
Coherent control of macroscopic quantum states in a single
... and to manipulate the quantum state as shown in Fig. 2a and b. If we select an initial condition Qt Q0 far to the left from the resonance point (where Q0 is the d.c.-gate induced charge), the initial state would, with a large probability (,1), be the ground state which is almost the pure |0i state ...
... and to manipulate the quantum state as shown in Fig. 2a and b. If we select an initial condition Qt Q0 far to the left from the resonance point (where Q0 is the d.c.-gate induced charge), the initial state would, with a large probability (,1), be the ground state which is almost the pure |0i state ...
A generalized entropy measuring quantum localization
... underlying Hilbert space the same probability, e.g., to be an eigenstate of a certain operator. Formally this means to define a probability density on Hilbert space which is invariant under the group of unitary transformation of the system. Assuming the Hilbert space to be N-dimensional and [| j), j ...
... underlying Hilbert space the same probability, e.g., to be an eigenstate of a certain operator. Formally this means to define a probability density on Hilbert space which is invariant under the group of unitary transformation of the system. Assuming the Hilbert space to be N-dimensional and [| j), j ...
On Participatory Realism
... on “law without law” filling my every sleepless night. A typical something Wheeler would write on the subject would sound like this, ...
... on “law without law” filling my every sleepless night. A typical something Wheeler would write on the subject would sound like this, ...
The Majorana bases structure and an electrically neutral spin 1/2
... being specified in any Majorana basis, turn to be real-valued, therefore equations for ϕ+ and iϕ− are not mixed by local Lorentz transformations associated with tetrad changes in curved space. The set of all Majorana bases is looked through in detail, and 17-parametric transformation ΨM (x) = A(mi , ...
... being specified in any Majorana basis, turn to be real-valued, therefore equations for ϕ+ and iϕ− are not mixed by local Lorentz transformations associated with tetrad changes in curved space. The set of all Majorana bases is looked through in detail, and 17-parametric transformation ΨM (x) = A(mi , ...
Quantum Interaction Approach in Cognition, Artificial Intelligence
... Cognitive models of knowledge representation are relevant also from a technological point of view, for the representation of objects, categories, relations between objects, etc., play a central role in the development of artificial intelligence. In the last years techniques coming from quantum infor ...
... Cognitive models of knowledge representation are relevant also from a technological point of view, for the representation of objects, categories, relations between objects, etc., play a central role in the development of artificial intelligence. In the last years techniques coming from quantum infor ...
local pdf - Quantum Optics and Spectroscopy
... sensitivity. Our approach is to use an entangled state to amplify the tiny momentum kick an ion receives upon scattering a photon. The method should find applications in spectroscopy of atomic and molecular ions6–9 and quantum information processing. An ion in an electric trap provides an excellent s ...
... sensitivity. Our approach is to use an entangled state to amplify the tiny momentum kick an ion receives upon scattering a photon. The method should find applications in spectroscopy of atomic and molecular ions6–9 and quantum information processing. An ion in an electric trap provides an excellent s ...
Document
... Many physicists (including me) will support Physical Realism, understood as : The purpose of physics is to study entities of the natural world, existing independently from any particular observer's perception, and obeying universal and intelligible rules. Many physicists (inc. me) look at certain an ...
... Many physicists (including me) will support Physical Realism, understood as : The purpose of physics is to study entities of the natural world, existing independently from any particular observer's perception, and obeying universal and intelligible rules. Many physicists (inc. me) look at certain an ...
Probability amplitude
![](https://commons.wikimedia.org/wiki/Special:FilePath/Hydrogen_eigenstate_n5_l2_m1.png?width=300)
In quantum mechanics, a probability amplitude is a complex number used in describing the behaviour of systems. The modulus squared of this quantity represents a probability or probability density.Probability amplitudes provide a relationship between the wave function (or, more generally, of a quantum state vector) of a system and the results of observations of that system, a link first proposed by Max Born. Interpretation of values of a wave function as the probability amplitude is a pillar of the Copenhagen interpretation of quantum mechanics. In fact, the properties of the space of wave functions were being used to make physical predictions (such as emissions from atoms being at certain discrete energies) before any physical interpretation of a particular function was offered. Born was awarded half of the 1954 Nobel Prize in Physics for this understanding (see #References), and the probability thus calculated is sometimes called the ""Born probability"". These probabilistic concepts, namely the probability density and quantum measurements, were vigorously contested at the time by the original physicists working on the theory, such as Schrödinger and Einstein. It is the source of the mysterious consequences and philosophical difficulties in the interpretations of quantum mechanics—topics that continue to be debated even today.