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Orthogonal polynomials, special functions and mathematical physics
Orthogonal polynomials, special functions and mathematical physics

Self-consistent mean field forces in turbulent plasmas
Self-consistent mean field forces in turbulent plasmas

... • The properties of turbulent plasmas are described using the two-fluid equations. • Global constraints are derived for the fluctuation induced mean field forces that act on the ion and electron fluids. • Relationship between relaxation of parallel momentum flows and parallel currents C. C. Hegna, “ ...
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... TTN: What kind of dynamical system is this? Answer: a simple one degree of freedom (=>integrable) dynamical like a pendulum but with length dependent on its ...
LECTURE 22 THE STRONG COUPLING CONSTANT, QUARK-GLUON PLASMA (QGP)
LECTURE 22 THE STRONG COUPLING CONSTANT, QUARK-GLUON PLASMA (QGP)

... Questions from Last Lecture What are 8 color states for gluons ?   ...
The Scattering Green`s Function: Getting the Signs Straight
The Scattering Green`s Function: Getting the Signs Straight

... Now return to Equation (1) above. We have poles when k 2 − k 0 2 + iε = 0, that is k = +k + iε and k 0 = −k − iε, once again, redefining ε but keeping it small and positive. These two poles represented by the black dots in Figure 6.1 from the text, 6.2are The Scattering Amplitude 393reprinted here: ...
Landau Levels and Quantum Group
Landau Levels and Quantum Group

... theories and integrable lattice models [4]. Although the abelian ChernSimons theory does not possess a quantum group structure in the literature [3], it might be possible to exhibit one in some other senses. There have been also interesting investigations of condensed matter problems such as the fra ...
PHYSICAL REVIEW B VOLUME 50, NUMBER20 15
PHYSICAL REVIEW B VOLUME 50, NUMBER20 15

On model theory, non-commutative geometry and physics
On model theory, non-commutative geometry and physics

... Although [4] developes a systematic procedure only for A at root of unity, the same or very similar construction produces Zariski geometries (as one can see in [2] and [3]) from more general quantum algebras. We do not have precise conditions of when this scheme works but it does in most important c ...
SpontaneouS Symmetry Breaking in particle phySicS
SpontaneouS Symmetry Breaking in particle phySicS

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... We note that the mere existence of the quantum mechanical additional term in the probability results from the assumption of coherent motion of the particle. In other words, quantum interference is relevant as long as the wave function of the particle maintains its phase. However, the quantum-mechani ...
I  Multiferroic Vortices and Graph Theory
I Multiferroic Vortices and Graph Theory

... understanding of the early-stage universe, hurricanes, quantum matters such as superfluids and superconductors, and also technological materials such as liquid crystals and magnets. Large-scale spatial configurations of these topological defects have been investigated only in a limited degree. Excep ...
Chapter 4 (Lecture 6-7) Schrodinger equation for some simple
Chapter 4 (Lecture 6-7) Schrodinger equation for some simple

... The model is mainly used as a hypothetical example to illustrate the differences between classical and quantum systems. In classical systems, for example a ball trapped inside a heavy box, the particle can move at any speed within the box and it is no more likely to be found at one position than ano ...
Extension of Lorentz Group Representations for Chiral Fermions
Extension of Lorentz Group Representations for Chiral Fermions

... and position q operators are extended to commuting operators, θ1 = p + P θ2 = q − Q , where P and Q are the momentum and position operators of an entirely independent ‘meter’ harmonic oscillator. The meter harmonic oscillator is in the vacuum state |0i with vanishing expectation values, h0|P |0i and ...
Witten
Witten

... In short, the bi have the transformation properties and the anticommutation relations appropriate for the gamma matrices of O(N). The kink states, on which the b i act, therefore transform in the spinor representation of O(N). The kinks are isospinors. Before proceeding, a few mathematical remarks a ...
PPT
PPT

... The proper way to interpret KG equation is it is not a Wavefunction Equation but actually a Field equation just like Maxwell’s Equations. Plane wave solutions just corresponds to Plane Waves. It’s natural for plane waves to contain negative frequency components. ...
Space-time description of squeezing
Space-time description of squeezing

... Our description of squeezed states may certainly be criticized as an exercise in elementary quantum field theory that does not lead to any progress in our understanding of the physics of these phenomena. To defend ourselves against such criticism, we would like to point out that the description of s ...
Title and Abstract Shijin Deng Shanghai Jiao Tong University Title
Title and Abstract Shijin Deng Shanghai Jiao Tong University Title

... Boltzmann equation, the unified Boltzmann model equation for describing the complex multi-scale flows covering various flow regimes can be deduced, in which the unified expressions on the molecular collision relaxing parameter and the local equilibrium distribution function are presented by computab ...
On the Motion of Solids in Modified Quantum Mechanics.
On the Motion of Solids in Modified Quantum Mechanics.

... presence of the 3 independent spatial directions. The numeric values correspond to N m = 1g. The expectation values ( 0 )and ( P ) move along classical trajectories apart from a certain stochastic spread around them. This anomalous Brownian motion of the centre-ofmass is, however, completely unobser ...
UNIVERSAL QUANTUM COMPUTING: ANTICIPATORY …
UNIVERSAL QUANTUM COMPUTING: ANTICIPATORY …

... least unit reveal a new action principle driving the evolution of the HAM, cosmology itself a form of selforganized complex system. Since the HAM is scale invariant these energetics also apply to self-organized Autopoietic living systems. This new teleological or noetic action principle is shown to ...
A GENERALLY COVARIANT FIELD EQUATION FOR GRAVITATION
A GENERALLY COVARIANT FIELD EQUATION FOR GRAVITATION

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motivation-to-quantum

... the previous slide and also help to predict new ...
CONCORDIA DISCORS: Wave-Particle Duality in the 3rd Century BC?
CONCORDIA DISCORS: Wave-Particle Duality in the 3rd Century BC?

... We all might know about the principles behind the whole symbol as it “represents the ancient Chinese understanding of how things work. The outer circle represents "everything", while the black and white shapes within the circle represent the interaction of two energies called "yin" (black) and "yang ...
Lecture 13: The classical limit
Lecture 13: The classical limit

Quantum Field Theory on Curved Backgrounds. I
Quantum Field Theory on Curved Backgrounds. I

Monday, Apr. 14, 2014
Monday, Apr. 14, 2014

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Instanton

An instanton (or pseudoparticle) is a notion appearing in theoretical and mathematical physics. An instanton is a classical solution to equations of motion with a finite, non-zero action, either in quantum mechanics or in quantum field theory. More precisely, it is a solution to the equations of motion of the classical field theory on a Euclidean spacetime.
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