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of 133
pro vyhledávání: '"Hannay, A. H."'
Autor:
Hannay, J. H.
A prime example of quantum tunnelling is the semiclassical 'energy splitting' of the levels of a symmetrical double well potential, or equivalently the flipping rate of an instanton. Curiously the accepted expression for the ground state energy split
Externí odkaz:
http://arxiv.org/abs/2403.18050
Shaking a container full of perfect liquid; a tractable case, a torus shell, exhibits a virtual wall
Autor:
Hannay, J. H.
Manipulation ('shaking') of a rigid container filled with incompressible liquid starting from stationary generally results in some displacement, or mixing, of the liquid within it. If the liquid also has zero viscosity, a 'perfect', or Euler liquid,
Externí odkaz:
http://arxiv.org/abs/2311.00576
Autor:
Hannay, J. H., Wilkinson, Michael
An exact formula is derived, as an integral, for the mean square winding angle of Brownian motion (that is, diffusion) after time t, around an infinitely long impenetrable cylinder of radius a, having started at radius R(>a) from the axis. Strikingly
Externí odkaz:
http://arxiv.org/abs/2201.04567
Autor:
Hannay, J. H.
The standard kinetic path integral for all spatially closed Brownian paths (loops) of duration t weighted by the product mn is evaluated, where m and n are the linking numbers of the Brownian loop with two arbitrary curves in 3D space. The path integ
Externí odkaz:
http://arxiv.org/abs/1905.03858
Autor:
Hannay, J. H.
A Brownian loop is a random walk circuit of infinitely many, suitably infinitesimal, steps. In a plane such a loop may or may not enclose a marked point, the origin, say. If it does so it may wind arbitrarily many times, positive or negative, around
Externí odkaz:
http://arxiv.org/abs/1809.08122
Autor:
Hannay, J. H.
A time dependent, complex scalar wavefield in three dimensions contains curved zero lines, wave 'vortices', that move around. From time to time pairs of these lines contact each other and 'reconnect' in a well studied manner, and at other times tiny
Externí odkaz:
http://arxiv.org/abs/1702.04260
Akademický článek
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An experiment is described that tests theoretical predictions on how C-lines incident obliquely on a surface behave on reflection. C-lines in a polarised wave are the analogues of the optical vortices carried by a complex scalar wave, which is the us
Externí odkaz:
http://arxiv.org/abs/1402.2917
Autor:
Dennis, M. R., Hannay, J. H.
Publikováno v:
Proc R Soc Lond A 461 (2005) 3245-54
A central result in the space geometry of closed twisted ribbons is Calugareanu's theorem (also known as White's formula, or the Calugareanu-White-Fuller theorem). This enables the integer linking number of the two edges of the ribbon to be written a
Externí odkaz:
http://arxiv.org/abs/math-ph/0503012
The shrunk loop theorem presented here is an integral identity which facilitates the calculation of the relative probability (or probability amplitude) of any given topology that a free, closed Brownian or Feynman path of a given 'duration' might hav
Externí odkaz:
http://arxiv.org/abs/nlin/0312047