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A Matrix Element for Chaotic Tunnelling Rates and Scarring Intensities

Stephen C. Creagh 1, 2, Niall D. Whelan 2, 3 Annals of Physics 272 (1999) 196-242 It is shown that tunnelling splittings in ergodic double wells and resonant widths in ergodic metastable wells can be approximated as easily-calculated matrix elements involving the wavefunction in the neighbourhood of a certain real orbit. This orbit is a continuation of the complex orbit which

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Many body heat radiation and heat transfer in the presence of a non-absorbing background medium – Archive ouverte HAL

Muller Boris 1 Incardone Roberta 1 Mauro Antezza 2, 3 Emig Thorsten 4, 5 Kruger Matthias 1 Muller Boris, Incardone Roberta, Mauro Antezza, Emig Thorsten, Kruger Matthias. Many body heat radiation and heat transfer in the presence of a non-absorbing background medium. Physical Review B: Condensed Matter and Materials Physics (1998-2015), American Physical Society, 2017,

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Statistics of reduced words in locally free and braid groups: Abstract studies and application to ballistic growth model

Jean Desbois 1, Sergei K. Nechaev 1, 2 Journal of Physics A 31 (1998) 2767-2784 We study numerically and analytically the average length of reduced (primitive) words in so-called locally free and braid groups. We consider the situations when the letters in the initial words are drawn either without or with correlations. In the latter case we show that the average

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Scaling universalities of kth-nearest neighbor distances on closed manifolds

A. G. Percus 1, O. C. Martin 2 Advances in Applied Mathematics 21 (1998) 424-436 Take N sites distributed randomly and uniformly on a smooth closed surface. We express the expected distance from an arbitrary point on the surface to its kth-nearest neighboring site, in terms of the function A(l) giving the area of a disc of radius l

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Rough droplet model for spherical metal clusters

N. Pavloff 1, C. Schmit 1 Physical Review B 58 (1998) 4942-4951 We study the thermally activated oscillations, or capillary waves, of a neutral metal cluster within the liquid drop model. These deformations correspond to a surface roughness which we characterize by a single parameter $\\Delta$. We derive a simple analytic approximate expression determining $\\Delta$ as a function of

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