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Citation - WoS: 5
Citation - Scopus: 6
Quantum Calculus of Classical Vortex Images, Integrable Models and Quantum States
(IOP Publishing Ltd., 2016) Pashaev, Oktay
From two circle theorem described in terms of q-periodic functions, in the limit q→1 we have derived the strip theorem and the stream function for N vortex problem. For regular N-vortex polygon we find compact expression for the velocity of uniform rotation and show that it represents a nonlinear oscillator. We describe q-dispersive extensions of the linear and nonlinear Schrodinger equations, as well as the q-semiclassical expansions in terms of Bernoulli and Euler polynomials. Different kind of q-analytic functions are introduced, including the pq-analytic and the golden analytic functions.
Towards the Solution of Cosmological Constant and Zero Point Energy Problems Through Metric Reversal Symmetry
(IOP Publishing Ltd., 2009) Erdem, Recai
In this talk I review my studies on metric reversal symmetry and their further implications. The talk is mainly concentrated on the relevance of the metric reversal symmetry to the solutions of the cosmological constant and zero point energies. However the use of metric reversal symmetry to hide higher Kaluza-Klein modes at the scales larger than the size of extra dimensions is also discussed, and speculations on its possible relevance to Pauli-Villars and Lee-Wick model are also briefly mentioned.

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