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Is Quantum Space a Random Cantor Set with a Golden
Is Quantum Space a Random Cantor Set with a Golden

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... • Any basis formed from eigenstates of an exactly solvable system plus a weak symmetry breaking perturbation – We can watch the levels evolve as we increase the perturbation strength, and therefore keep track of the quantum numbers ...
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... Poisson brackets are a powerful and sophisticated tool in the Hamiltonian formalism of Classical Mechanics. They also happen to provide a direct link between classical and quantum mechanics. A classical system with N degrees of freedom, say a set of N/3 particles in three dimensions, is described by ...
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... According to the usual understanding e f the first and second laws of thermodynamics, a system left to itself will eventually evolve, or "relax," without change in its internal energy, to a unique state of stable thermal equilibrium characterized as having the maximum entropy compatible with the con ...
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Non-interacting fermions, strings, and the 1/N expansion

... are solvable models of string theory with many applications. They engineer N=2 supersymmetric gauge theories. They have a rich enumerative content in terms of holomorphic maps from Riemann surfaces to the CY target. Their genus g free energies Fg ( ) can be computed recursively, as a function of the ...
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... The finite tube diameter can have no effect on the long time properties of a random walk so we replace the tube structures by pure trees with a branching law for the vertices inherited from the original structures. The ensemble of trees obtained in this way is called the generic tree ensemble. It i ...
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Path integral formulation

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