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Variational Methods Applied to the Particle in a Box ©
Variational Methods Applied to the Particle in a Box ©

GAP Optique Geneva University
GAP Optique Geneva University

... 1. All measurement outcomes are determined by the state of the physical system. In other words, at any time all physical quantities have their value somehow written in the physical system (these may change as time passes). 2. All measurement outcome probabilities are determined by the state of the p ...
On Primitive Notions as Foundation of Physics
On Primitive Notions as Foundation of Physics

Chapter 6 | Thermochemistry
Chapter 6 | Thermochemistry

... We are given the work functions for each of the elements (Ti = 6.94  10–19 J, Si = 7.24  10–19 J). Knowing the wavelength of the incident radiation (2.50  10–7 m), we can calculate the frequency of the incident radiation using  = c/. Knowing , we can then calculate the kinetic energy of the ...
`constituent quarks`.
`constituent quarks`.

... The Puzzle Continues 1) If pK+ peak at 1530 MeV/c2 is a real pentaquark, then I = 1 likely, there must be a q+. But the recent JLab null result on q+ casts serious doubt on the observation of q+. 2) The STAR observed yield is so small such that many experiments would not have the sensitivity to see ...
the quantized hall effect
the quantized hall effect

The Berry-Tabor conjecture
The Berry-Tabor conjecture

... Eskin, Margulis and Mozes [10] recently strengthened Sarnak’s result by giving explicit diophantine conditions on (α, β, γ) under which the Berry-Tabor conjecture holds. Admissible forms are for example m2 + γn2 ...
271, 31 (2000) .
271, 31 (2000) .

... states  c i :,i s 1,2, . . . ,n4 . When c i : are non-orthogonal, they cannot be cloned perfectly. What we require is that the final states should be most similar as the target states, that is, the fidelity between the final and target states should be optimal. We derive a lower bound for the optim ...
Big Idea 5:changes that occur as a result of interactions are
Big Idea 5:changes that occur as a result of interactions are

Real-time evolution for weak interaction quenches in quantum systems
Real-time evolution for weak interaction quenches in quantum systems

... conventional Gibbs ensemble should not be expected. In analogy to equilibrium approaches [39], it was suggested that the long-time behavior can be reproduced by a statistical description based on a generalized Gibbs ensemble [26]. Many of the mentioned results [27,26,30] explicitly agree with this a ...
Staging quantum cryptography with chocolate balls
Staging quantum cryptography with chocolate balls

... In the performance, chocolates marked with the symbols 0 and 1 in red correspond to horizontally 共↔兲 and vertically 共兲 polarized photons in quantum optics, respectively. Chocolates marked with the symbols 0 and 1 in green correspond to left and right circularly polarized photons, or alternatively t ...
in PPT
in PPT

... fundamental issues, these are the correlations achievable by classical resources. Bell inequalities define the limits on these correlations. For a finite number of measurements and results, these correlations define a polytope, a convex set with a finite number of extreme points. ...
The Universal Uncertainty Principle v1
The Universal Uncertainty Principle v1

the einstein-podolsky-rosen paradox and the nature of reality
the einstein-podolsky-rosen paradox and the nature of reality

... positions and momenta. If the momentum of one of the particles is p then the momentum of the other is –p. Similarly, if the position of one of the particles is x, then the position of the other is x-x0. Such quantum correlations are called entanglement [8]. As we will see in the following discussion ...
Experiment and the foundations of quantum physics
Experiment and the foundations of quantum physics

... experimental progress in recent years. For reasons of space, the author discusses mainly experiments related to the Einstein-Podolsky-Rosen paradox and Bell’s theorem, that is, to quantum entanglement. Not only have such fundamental experiments realized many historic proposals, they also helped to s ...
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Topological Order and the Kitaev Model
Topological Order and the Kitaev Model

Techniques and Applications - Angelo Raymond Rossi
Techniques and Applications - Angelo Raymond Rossi

Gravity originates from variable energy density of
Gravity originates from variable energy density of

... doesn’t violate the causal principle as it occurs when using the Inertial Transformation of space and time [4,5]. This means it is possible to adopt a field based theoretical approach like that of GR, able to reproduce its experimental evidences, without incurring causal paradox and supported by a c ...
The Fermi-Hubbard model 11 The Hubbard model
The Fermi-Hubbard model 11 The Hubbard model

1AMQ, Part II Quantum Mechanics
1AMQ, Part II Quantum Mechanics

Inner and outer edge states in graphene rings: A numerical
Inner and outer edge states in graphene rings: A numerical

Proposal for Implementing Device
Proposal for Implementing Device

arXiv:1504.04012v1 [cond-mat.quant
arXiv:1504.04012v1 [cond-mat.quant

... containing a BEC in the middle of a bosonic FQH system, as shown in Fig. 1. Such a trench of BEC can be created by introducing a potential well that would trap a high density of bosons as compared to the FQH region outside. We will show that the introduction of such a BEC trench induces a novel stat ...
Classical and Quantum Error Correction
Classical and Quantum Error Correction

... improved procedure using 9 qubits to encode a single qubit of information • His algorithm was a majority vote type of system that allowed all single qubit errors to be detected and corrected This was a starting point to great research area, although his paper had many bugs ...
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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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