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Abstract book
Abstract book

Lecture 2: Electronics and Mechanics on the Nanometer Scale
Lecture 2: Electronics and Mechanics on the Nanometer Scale

An implementation of atomic form factors - IGFAE
An implementation of atomic form factors - IGFAE

... are three body systems which can be solved perturbatively. The first order solution corresponds to a one photon exchange interaction and is known as the first Born approximation [1–3]. The response of the hydrogen-like atom to a definite momentum of the exchanged photon is given by the Fourier trans ...
On the Faithful Interpretation of Pure Wave Mechanics
On the Faithful Interpretation of Pure Wave Mechanics

... Everett held, in agreement with the standard interpretation of quantummechanical states, that subsystems of entangled composite systems, systems like M and S above, do not possess absolute physical properties or even absolute states to call their own. But he added to the standard interpretation that ...
Elementary gates for quantum computation
Elementary gates for quantum computation

... the building up of unitary transformations from simple gates. We build on other recent results that simplify and extend Deutsch's original discovery [24] of a three-bit universal quantum logic gate. As a consequence of the greater power of quantum computing as a formal system, there are many more ch ...
LETTERS Generation of Fock states in a superconducting quantum circuit
LETTERS Generation of Fock states in a superconducting quantum circuit

... states, which are states with specific numbers of energy quanta, but such states are hard to create3–7. Here we demonstrate the controlled generation of multi-photon Fock states in a solid-state system. We use a superconducting phase qubit8, which is a close approximation to a two-level spin system, ...
Ground state and dynamic structure of quantum fluids
Ground state and dynamic structure of quantum fluids

... bound, while two 3 He atoms are not bound at all. Notice also that the interaction between the atoms is due to the polarization of the electronic cloud, and as consequence the interaction between 4 He-4 He, 3 He-3 He, and 4 He-3 He pairs can be considered to be the same. Keeping this in mind, it is ...
Recent progress in symplectic algorithms for use in quantum systems
Recent progress in symplectic algorithms for use in quantum systems

how quantum logic differs from classical logic: following distribution
how quantum logic differs from classical logic: following distribution

Does Geometric Algebra provide a loophole to Bell`s Theorem?
Does Geometric Algebra provide a loophole to Bell`s Theorem?

... its early promise. The short answer is: because the mapping between 3D geometry and the mathematics of one qubit is already thoroughly understood, while the extension to a system of entangled qubits does not bring in new geometric insights but on the contrary merely reproduces the usual complex Hilb ...
The Causal Set Approach to Quantum Gravity
The Causal Set Approach to Quantum Gravity

Measurement of the transverse electric field profile of light by a self
Measurement of the transverse electric field profile of light by a self

... thickness of the λ/2 plate. This ensured that the necessary interference between the sampled beam and the beam that passed around it would occur. The output was coupled into a polarization preserving single mode fiber (Nufern PM780-HP) to ensure a Gaussian spatial mode after launching the beam into ...
The Integer Quantum Hall Effect
The Integer Quantum Hall Effect

The Polarizable Continuum Model Goes Viral! - Munin
The Polarizable Continuum Model Goes Viral! - Munin

... to the availability of efficient and accurate ab initio quantum chemical models. Limitations to such an approach do, however, still exist. The vast majority of chemical phenomena happens in complex environments, where the molecule of interest can interact with a large number of other moieties, solve ...
Markov property in non-commutative probability
Markov property in non-commutative probability

... which is the exponential of a quadratic form. Its logarithm is therefore a quadratic polynomial, and all correlations beyond the second order vanish. Following this procedure in some non-commuting systems as the CAR algebra or the CCR algebra it is also possible to define the useful concept of the c ...
On the Quantum Theory of Line–spectra
On the Quantum Theory of Line–spectra

... theory may be considered as a very direct support of the latter relation. In the following discussion of the application of the quantum theory to determine the line–spectrum of a given system, it will, just as in the theory of temperature–radiation, not be necessary to introduce detailed assumptions ...
221A Lecture Notes on Spin
221A Lecture Notes on Spin

Cavity dark states for quantum computing M.S. Shahriar , J.A. Bowers
Cavity dark states for quantum computing M.S. Shahriar , J.A. Bowers

... in the intermediate zone can be estimated via interpolation. The resulting total time for adiabatic transfer is given by T  n=9emin , where emin is the minimum separation between the energies of the eigenstates, given by g2 X20 =4d3 , as determined before. For n ˆ 10, we have veri®ed via numerical ...
Scattering theory
Scattering theory

Distances in Probability Space and the Statistical Complexity
Distances in Probability Space and the Statistical Complexity

... as our test ground. The details of the QC-transition have been elucidated in a series of publications in which the pertinent equations of motion are solved [1–4]. Our statistical recapitulation covers references [5–7]. We review here these three works that allow one to ascertain the usefulness of st ...
Nature template - PC Word 97
Nature template - PC Word 97

Complete Analytical Solutions of the Mie
Complete Analytical Solutions of the Mie

... -type potential was obtained in [34]. Moreover, the Schrödinger equation for a system bound by a Mie-type potential was also solved by using the 1/N expansion method [33]. In this paper, we give a complete normalized polynomial solution for the general N -dimensional Schrödinger equation for diatomi ...
Eigenstate Phase Transitions
Eigenstate Phase Transitions

... time t the above thermalization condition is true for the same temperature T , and for all initial states corresponding to that T , we say the system thermalizes for this temperature. [10, 26, 27, 22, 19] ...
Finite machines, mental procedures, and modern
Finite machines, mental procedures, and modern

lecture 4:Sisyphus cooling, evaporative cooling, and magnetic
lecture 4:Sisyphus cooling, evaporative cooling, and magnetic

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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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