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The Symplectization of Science - Pacific Institute for the
The Symplectization of Science - Pacific Institute for the

Pascual Jordan`s resolution of the conundrum of the wave
Pascual Jordan`s resolution of the conundrum of the wave

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... interact gravitationally. There are no such objects in the four dimensional world, since, if we try to “squeeze” matter in a too small region, it becomes a black hole. A black hole, however, is an extended object with a horizon separating its “inside” from the rest of the world. In other words, blac ...
Bell-like inequalities from symmetrized products of noncommuting
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... their noncommutativity, and cannot be measured simultaneously, despite theoretical attempts at such a definition27,28 . Thus the question of a joint probability function does not arise operationally in quantum theory. However, if we attempt to describe the correlations in terms of hidden variables, ...
Quantum computing and mathematical research
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Quantum Computer Compilers - Computer Science, Columbia
Quantum Computer Compilers - Computer Science, Columbia

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1905, ANNUS MIRABILIS: THE ROOTS OF THE

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The Cosmological Constant Problem, Dark Energy, and the

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Holographic Quantum Error Correcting Codes - Adrian Franco

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Landau`s Fermi Liquid Theory

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Quantum Computing - Computer Science and Engineering

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Introduction to Quantum Computing (2010) (e-book)

... existence and the number of local degrees of freedom. (It seems that the local degrees of freedom are a sign that anyons arise from a system with no symmetry in the Hamiltonian). 3) Finally, general understanding of dynamically created, or materialized symmetry is lacking. There one may find some in ...
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Introduction: 100 years of Brownian motion - Physik Uni

... fundamental work, they established a generally valid connection between the response function and the associated equilibrium quantum fluctuations, i.e., the quantum fluctuationdissipation theorem. Another key development must be credited to Lars Onsager: via his regression hypothesis, he linked the ...
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Contextualizing Concepts using a Mathematical Generalization of

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Quantum analogue computing

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Contextualizing Concepts using a Mathematical

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Three problems from quantum optics
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7 Scattering theory and the S matrix

... It is important to realize that these assumptions are neither a priori obvious, nor are they always fulfilled. It could happen that H = H0 + Vint does not possess particle-like eigenstates at all (or not all of its eigenstates are particle-like). This is indeed so in conformal field theory models or ...
No. 18 - Department of Mathematics
No. 18 - Department of Mathematics

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... is very simple and the chemical potential, given by A(x) = − log n(x) + 32 log(2π), depends on n(x) in a local way. Here, due to the operator formalism of quantum mechanics, which is not commutative, the density and the associated chemical potential are linked together by a non-explicit formula, and ...
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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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