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- Istanbul Technical UniversityTR35 papers
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7 papers · 1 filter
Hamiltonian formalism for nonlinear Schrödinger equations
Ali Pazarci, Umut Can Turhan, Nader Ghazanfari +1
We study the Hamiltonian formalism for second order and fourth order nonlinear Schrödinger equations. In the case of second order equation, we consider cubic and logarithmic nonlin…
New Pentagon Identities Revisited
Shahriyar Jafarzade
We present a new solution to the pentagon identity in terms of gamma function. We obtain this solution by taking the gamma function limit from the pentagon identity related to the…
Pentagon identities arising in supersymmetric gauge theory computations
Deniz N. Bozkurt, Ilmar Gahramanov
The partition functions of three-dimensional N=2 supersymmetric gauge theories on different manifolds can be expressed as q-hypergeometric integrals. By comparing the partition fun…
Integrable lattice spin models from supersymmetric dualities
Ilmar Gahramanov, Shahriyar Jafarzade
Recently, there has been observed an interesting correspondence between supersymmetric quiver gauge theories with four supercharges and integrable lattice models of statistical mec…
Heun-type solutions for Schwarzschild metric with electromagnetic fields
T. Birkandan, M. Hortaçsu
We find confluent Heun solutions to the radial equations of two Halilsoy-Badawi metrics. For the first metric, we studied the radial part of the massless Dirac equation and for the…
Heun Functions and Some of Their Applications in Physics
M. Hortacsu
Most of the theoretical physics known today is described by using a small number of differential equations. For linear systems, different forms of the hypergeometric or the conflue…