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A brief history of the mathematical equivalence between the two
A brief history of the mathematical equivalence between the two

... In order to show the importance of this handicap, it suffices to note, according to Beller [13], that whereas WM was able of conceptualising a single stationary state by means of a standing wave, whose frequency was identified with a spectral term, MM lacked of this capability, as von Neumann [12] n ...
Feynman Diagrams for Beginners
Feynman Diagrams for Beginners

The role of the electromagnetic field in the formation of domains in
The role of the electromagnetic field in the formation of domains in

... ω0 the atomic resonant frequency). The essential point is that the (mean value of the) ”order parameter” u minimizing the potential V (u, u∗) is zero (disordered or symmetric state) for α α < 0 and non-zero for α > 0, with |u|2 = 2β 6= 0 (ordered or asymmetric state). In this latter case the system ...
Erwin Schrödinger (1887 – 1961)
Erwin Schrödinger (1887 – 1961)

3.14. The model of Haldane on a honeycomb lattice
3.14. The model of Haldane on a honeycomb lattice

... The model of Haldane is the first example of a topological insulator beyond quantum Hall effect. It demonstrates that topological insulator is a generic concept, which may appear in any insulating systems (NOT just quantum Hall). It also demonstrates that as long as the topological index is nonzero, ...
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ESF 12p MISGAM_ok3.qxd - European Science Foundation

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... A weaker vision than (i) and (ii) involving unifications of [II] and/or [IV]. A pure form of this ideal can be found in Planck's work for a theory of 'General Dynamics' (see, Planck 1908a,b; Goldberg 1976; Liu 1994a), in which he explicitly challenged the electromagnetic program by proposing a unifi ...
My Favorite Numbers: 24
My Favorite Numbers: 24

Unsolved Questions in String Theory
Unsolved Questions in String Theory

... In view of the present status of superstring field theory, this idea was a bit too naive. But in any case, String fields, or (if any) other possible degrees of freedom for describing background independence, themselves should be regarded as a fundamental geometric entity of “string geometry”. Classi ...
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THE DETERMINATION OF PHOTON MASS

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Quantum Metrology Kills Rayleigh`s Criterion ∗

... Zmuidzinas (https://pma.caltech.edu/content/jonas-zmuidzinas), JOSA A 20, 218 (2003): “It is well established that the photon counts registered by the detectors in an optical instrument follow statistically independent Poisson distributions, so that the fluctuations of the counts in different detect ...
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4. Linear Response

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Slide 1

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November 3

... The hardest part of these six theorems was proving the characterizations of connected and compactness for R. Even if the details of the proof are a bit fuzzy in your head, you should understand that we used in a crucial way that R is complete. Everyone should at least understand the proof of the ge ...
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Renormalization

... difficulties remained. It was widely believed that only a limited class of ‘renormalizable’ theories made physical sense. (The fact that general relativity is not renormalizable in this sense was therefore considered a deep problem.) Also, the renormalization program was viewed by many physicists as ...
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Presentazione di PowerPoint - INAF - OA

... The standard cosmology is a successful framework for interpreting observations. In spite of this fact there were certain questions which remained unsolved until 1980s. For many years it was assumed that any solution of these problems would have to await a theory of quantum gravity. The great success ...
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talk_pacific - University of Kentucky

Quantum mechanics and reality
Quantum mechanics and reality

Topological Chern Indices in Molecular Spectra
Topological Chern Indices in Molecular Spectra

... is not too strong, further splitting of the rovibrational structure into subbands can be clearly seen. The well-known example is the splitting of the triply degenerate vibrational structure for a spherically symmetrical molecule into three subbands due to the first-order Coriolis interaction [2,3]. ...
PHY 3110 (Advanced) Classical Mechanics Dr. Aaron Titus
PHY 3110 (Advanced) Classical Mechanics Dr. Aaron Titus

... Table 2 lists the standards for skills that will be assessed in the course. Each of these standards is tied directly to the learning outcomes. Every quiz will provide an opportunity to demonstrate understanding of certain standards. These may or may not be explicitly stated beforehand. Not all stand ...
A Sonoran Afternoon - Quantum Consciousness
A Sonoran Afternoon - Quantum Consciousness

... OR microtubule states are qualitatively different. These are globally coherent in the sense of "being one entity." Al:There's lots more to classical nonlinear dynamics than neurons firing synchronously. A generic feature of classical nonlinear dynamics is the emergence of stable dynamic entities at ...
Theoretische und Mathematische Grundlagen der Physik
Theoretische und Mathematische Grundlagen der Physik

... and R-matrices — •Atle Hahn — Mathematisches Institut, Universität Bonn Topological quantum field theories provide some of the most interesting examples for the usefulness of path integrals. One of the best known of these examples was discovered in E. Witten’s paper “Quantum field theory and the Jo ...
Experimental Observation of Impossible-to
Experimental Observation of Impossible-to

... DOI: 10.1103/PhysRevLett.108.090501 ...
The utterly prosaic connection between physics
The utterly prosaic connection between physics

... individual Feynman diagram finite), is probably just an annoyance... • As of December 2014 Haag’s theorem was still an obstruction to constructing a fully relativistic interaction picture, rather completely undermining standard textbook presentations of how to derive the Feynman diagram expansion. T ...
preskill_grad_students13
preskill_grad_students13

... To execute the gate, we (1) close the switch, (2) keep it closed for awhile, (3) open the switch. This procedure alters the relative phase of the two basis states of the  i qubit: ...
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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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