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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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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
Binder, Bernd
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 15:11
Item ID: 841

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