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Quotient–Comprehension Chains
Quotient–Comprehension Chains

... categorical logic as adjoints (see below for details). Does that lead to instruments as a property? This question remains unsolved, but now takes another form: diagram (2) involves an equality, marked with (∗), that seems highly un-categorical: adjoints are determined up-to-isomorphism, so having an ...
Semiclassical Correlation in Density
Semiclassical Correlation in Density

... • Semiclassical methods capture zero-point energy, interference, tunneling (to some extent), all just from running classical trajectories. • Rigorous semiclassical methods are exact to O(h) • Phase-space integral done by Monte-Carlo, but oscillatory nature can be horrible to converge without filter ...
The BEH Mechanism and its Scalar Boson by François Englert
The BEH Mechanism and its Scalar Boson by François Englert

Random Reality - Forgotten Planet
Random Reality - Forgotten Planet

Powerpoint 6/22
Powerpoint 6/22

Long-Range Correlations in the Nonequilibrium Quantum Relaxation of a Spin... V 85, N 15
Long-Range Correlations in the Nonequilibrium Quantum Relaxation of a Spin... V 85, N 15

... fixed, whereas for h , 1 the value of th depends on h and has to be determined numerically, which renders the precise determination of the decay exponents difficult. We define the ratio a 苷 t兾L and amax 苷 th 共L兲兾L and consider equal time correlations for fixed values of a. In the picture of a propag ...
The Quantum Hall Effect
The Quantum Hall Effect

Easy introduction to quantum informatics
Easy introduction to quantum informatics

... IBM (in 1998): Probably in the next millenium R.F.Werner: “Even if the Quantum Computer proper were never to be built, the effort of building one, or at least deciding the feasibility of this project, will turn up many new results, likely to have applications of their own.” ...
On the Derivation of the Time-Dependent Equation of Schrodinger
On the Derivation of the Time-Dependent Equation of Schrodinger

... wavefunction oscillating in time. For example, to quote Feynman and Hibbs (1) ``for this special solution the wavefunction oscillates with a definite frequency . .. which corresponds, in classical physics, to the energy.'' That is, the student of quantum mechanics is asked to accept that all matter, ...
3.1 Properties of vector fields
3.1 Properties of vector fields

... such that R × {x} ∩ U is connected, ϕ0 (x) = x for all x and if (t, x), (t + t0 , x), (t0 , ϕt (x)) are all in U then ϕt0 (ϕt (x)) = ϕt+t0 (x). Then the local existence and uniqueness of solutions to systems of ODE implies that every smooth vector field X ∈ Γ∞ (M, T M ) gives rise to a local 1-param ...
Deconfined Quantum Critical Points
Deconfined Quantum Critical Points

... The theory of continuous phase transitions is one of the foundations of statistical mechanics and condensed matter theory. A central concept in this theory is that of the ”order parameter”; its nonzero expectation value characterizes a broken symmetry of the Hamiltonian in an ordered phase and it go ...
Parton model from bi-local solitonic picture of the baryon in two-dimensions
Parton model from bi-local solitonic picture of the baryon in two-dimensions

Observation Selection Effects, Measures, and Infinite Spacetimes
Observation Selection Effects, Measures, and Infinite Spacetimes

... amounts to something interesting and legitimate. Since Carter’s pioneering explorations, considerable effort has been devoted to working out of the applications of anthropic principles, especially as they pertain to cosmological fine-tuning. There have also been many philosophical investigations int ...
A short review on Noether`s theorems, gauge
A short review on Noether`s theorems, gauge

An Exploration of Powerful Power of Thought Experiences
An Exploration of Powerful Power of Thought Experiences

... macro level of reality to achieve a desired result. While these could be defined as more classical forms, the type of power of thought I address in this paper is very different conceptually. By power of thought I refer to the purported ability to directly transform thought into an effect on temporal ...
ON THE QUANTUM-CLASSICAL ANALOGIES 1. INTRODUCTION It
ON THE QUANTUM-CLASSICAL ANALOGIES 1. INTRODUCTION It

... quantum algorithms by classical optical systems [17-18]. However, nonlocal correlations/multiparticle entanglement between spatially separated states cannot be mimicked in classical optics. This is the reason why the scaling behavior of qubits (the exponential decrease of computation time with a lin ...
An Extreme form of Superactivation for Quantum Zero-Error
An Extreme form of Superactivation for Quantum Zero-Error

... that of a Zariski-closed set, and the resulting Zariski topology. We will only ever work over base fields C or R, so for our purposes Zariski-closed sets are sets defined by a collection of polynomials, i.e. they are the solution sets of simultaneous polynomial equations. We will use the terms Zaris ...
Gauge Symmetry and the Theta$Vacuum - Philsci
Gauge Symmetry and the Theta$Vacuum - Philsci

... Consider …rst a purely classical non-Abelian Yang-Mills gauge theory. If it has models that represent distinct degenerate classical vacua, what is the physical di¤erence between these vacua? Models related by a "large" gauge transformation are characterized by di¤erent Chern-Simons numbers, and one ...
PowerPoint - Isaac Newton Institute for Mathematical Sciences
PowerPoint - Isaac Newton Institute for Mathematical Sciences

... Heisenberg, thought of quantum mechanics in terms of the uncertainty principle and unavoidable limitations on measurement. Schroedinger and Einstein understood early on the importance of entanglement, but most other people failed to notice, thinking of the EPR paradox as a question for philosophers. ...
From  Quantum  theory to Quantum  theology: Abstract J
From Quantum theory to Quantum theology: Abstract J

M. Sc. Courses in Physics (Session 2016
M. Sc. Courses in Physics (Session 2016

15 The Quantum Atom
15 The Quantum Atom

... in physics and chemistry. If you understand these areas, you’ve got a good handle on a lot of science. They also happen to be some of the most interesting, in my humble opinion. These four key topics are broad, and so I further divide them into chapters and sections to make the material very approac ...
Exotic Goldstone Particles: Pseudo-Goldstone Boson and Goldstone
Exotic Goldstone Particles: Pseudo-Goldstone Boson and Goldstone

... concepts are so universal that they have become the framework for constructing new theoretical models in nearly all branches of physics. For example, in particle physics there exist a number of new physics models based on supersymmetry. In order to explain the absence of superparticle in current hig ...
Topology of Bands in Solids: From Insulators to Dirac Matter
Topology of Bands in Solids: From Insulators to Dirac Matter

... of crystals was found to be inadequate and restrictive (in particular translations on the crystal do not commute due to the magnetic field and require the definition of a magnetic unit cell) and soon the initial topological characterization evolved to a more general form [4, 5]. In this context it l ...
QUANTUM COMPUTING
QUANTUM COMPUTING

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Topological quantum field theory

A topological quantum field theory (or topological field theory or TQFT) is a quantum field theory which computes topological invariants.Although TQFTs were invented by physicists, they are also of mathematical interest, being related to, among other things, knot theory and the theory of four-manifolds in algebraic topology, and to the theory of moduli spaces in algebraic geometry. Donaldson, Jones, Witten, and Kontsevich have all won Fields Medals for work related to topological field theory.In condensed matter physics, topological quantum field theories are the low energy effective theories of topologically ordered states, such as fractional quantum Hall states, string-net condensed states, and other strongly correlated quantum liquid states.
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