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Chapter 5
Chapter 5

... additional   class   time   to   a   presentation   of   the   single-­‐photon   experiments   discussed   in   the   first   chapter,   which   are   essentially   isomorphic   to   the   double-­‐slit   arrangement   (the   double-­‐slit   and   ...
RSC_QTECR_ch005 105..131
RSC_QTECR_ch005 105..131

Complete Lecture Notes
Complete Lecture Notes

... nature and motion of particles and matter was properly accounted for. Newtonian mechanics was put in a solid mathematical framework (Lagrange, Hamilton) and the properties of radiation was covered by Maxwell’s equations. Classical mechanics, however, failed to describe the inherent properties of mat ...
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Spin-based quantum computing using electrons on liquid helium
Spin-based quantum computing using electrons on liquid helium

... Here we will show that all of the operations required for a quantum computer are possible with electrons on the surface of LHe, using reasonable estimates for decoherence rates and other parameters (an applied field, B0, of 0.35 T in the plane of the surface will be assumed, as used in conventional ...
journey in being: new world-cosmology - Home page-
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... Mechanism. Necessity of indeterminism. Probability of incremental change from ‘06 The ‘original’ mechanism of generation is variations (required by indeterminism) from an initial state and selection i.e. relative duration of Existence i.e. relative stability of those variations that are self-adapte ...
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the quantized hall effect
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Quantum Gravity : Has Spacetime Quantum - Philsci
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... So, fluctuations of the spacetime metric, to be expected within the naive approach to a description of quantum spacetime, are completely sufficient to make clear that one can not get over the mutual incompatibility of General Relativity and Quantum Mechanics by simply applying the usual quantization ...
Dynamics of Entanglement for Two-Electron Atoms
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... The study of quantum entanglement for systems with continuous degrees of freedom possess a number of extra problems when they are compared with systems with discrete degrees of freedom. One particularly acute is the lack of exact solutions. The existence of exact solutions has contributed enormously ...
A Chapter in Physical Mathematics: Theory of Knots in the Sciences
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Quantum collision theory with phase-space distributions
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... Over the years, several authors noted the possibility of expressing potential scattering cross sections in tenns of Wigner functions (Irving and Zwanzig, 1951; Ross and Kirkwood, 1954; Mori, Oppenheim, and Ross, 1962; Huguenin, 1973; Prugoveeki, 1978a). However, the principal interest in these years ...
On the Identity of Three Generalized Master Equations
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... of the diagonal elements of Q, which does not contain the nondiagonal elements of 8. We solve von Neumann’s equation by means of Liouville operators. These operators are defined as follows. Given an arbitrary operator A, another operator e can be constructed by the rule C = @a ...
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Oxford Master Course in Mathematical and Theoretical Physics
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Bohmian Trajectories of the Two-Electron Helium Atom
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... probability equal to unity of finding the system at some point in configuration space. Although this interpretation is consistent with logic and experiment, it makes quantum mechanics a statistical theory and does not provide a way to predict the outcomes of individual experiments. This inability to ...
Two-magnon instabilities and other surprises in magnetized quantum antiferromagnets Oleg Starykh
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... hcl < h < hc2the equivalence of two of the sublattices is retained, but the symsummation is performed over pairs of nearest neighbours. In the case of a flat triangular in the direction perpendicular to the field becomes broken (figure 3(c)). That lattice (and this is the case we are interested in) ...
An introduction to topological phases of electrons
An introduction to topological phases of electrons

... Our first goal is to show that the following three statements are equivalent: (a) W depends only on the endpoints (u(0), v(0)) and (u(1), v(1)); (b) W = 0 for any closed path; (c) f is the gradient of a function g: (p, q) = (∂x g, ∂y g); The formal language used for (c) is that f is an exact form: f ...
Exact quantum query complexity
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... Query complexity separations Many separations are known between quantum and classical query complexity. The Deutsch-Jozsa algorithm shows the existence of a partial function f (i.e. with a promise on the input) such that QE (f ) = O(1), but D(f ) = Ω(n). In fact, it is known that if f is a partial ...
Inertia First
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Link to PDF - D

... satisfiability; SAT for short. The input to a satisfiability problem is a Boolean formula involving logical variables {y1 , . . . , yn } each taking the value true or false, and connected by the propositional operators ¬ (negation), ∧ (and), and ∨ (or). A formula is satisfiable if the variables can ...
Chin. Phys. B
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Helium atom in metallic electron gases: A comparative study
Helium atom in metallic electron gases: A comparative study

... So, how to change Eq.(5) and thus the associated Eq.(6) with Q = Z = 2 consistently? We follow here an earlier idea applied [26] to He+ in an electron gas. Thus, we take the charge density of a sub-system composed of the nucleus and a bound electron as external generator of the induced charge polar ...
Lattice QCD in Mainland China: Status and Perspectives
Lattice QCD in Mainland China: Status and Perspectives

... two-mass-term fitting where the contamination of higher states to the first excited states cannot be neglected. Our result for 2P(1++) is consistent with X(3872) in mass. ...
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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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