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Topological Phase Fields, Baecklund Transformations, and Fine Structure

Binder, Bernd (2002) Topological Phase Fields, Baecklund Transformations, and Fine Structure. [Preprint]

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    Abstract

    Quantum coupling is defined by comparing the evolution of an input to an output phase, where the phase is evolving on a curved pseudospherical surface. The difference given by interference obeys a single-valuedness condition since the output phase is coupling back to the input phase. We arrive at B\"acklund transforms and corresponding sine-Gordon soliton equation. The idealized resonance or feedback condition corresponds to an oscillator potential that can be mapped by projective geometry to Coulomb coupling, where the effective coupling strength can be iteratively determined.


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    Item Type: Preprint
    Keywords: pseudosphere, phase, berry, Gordon, sine-Gordon, Baecklund, Aharonov, Bohm, Thirring, Lobachevski, Chebyshev, Kaehler, stereographic, projection, fine structure, iteration, iterative
    Subjects: Specific Sciences > Physics > Fields and Particles
    Specific Sciences > Mathematics
    Specific Sciences > Physics
    Specific Sciences > Physics > Quantum Field Theory
    Depositing User: Bernd Binder
    Date Deposited: 17 Oct 2002
    Last Modified: 07 Oct 2010 11:11
    Item ID: 841
    URI: http://philsci-archive.pitt.edu/id/eprint/841

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