Conformal quantum mechanics and Fick-Jacobs equation
arXiv:1211.7108
Abstract
It is found a relation between conformal quantum mechanics and Fick-Jacobs equation, which describes diffusion in channels. This relation is given between a family of channels and a family of conformal Hamiltonians. In addition, it is shown that a conformal Hamiltonian is associated with two channels with different geometry. Furthermore exact solutions for Fick-Jacobs equation are given for this family of channels.
arXiv comment8 pages, no figures, improved introduction and references added
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