Results 31 to 40 of about 16,140 (179)
Derivation of an eigenvalue probability density function relating to the Poincaré disk [PDF]
Journal of Physics A: Mathematical and Theoretical, 2009 A result of Zyczkowski and Sommers [J.Phys.A, 33, 2045--2057 (2000)] gives the eigenvalue probability density function for the top N x N sub-block of a Haar distributed matrix from U(N+n). In the case n \ge N, we rederive this result, starting from knowledge of the distribution of the sub-blocks, introducing the Schur decomposition, and integrating ...
Forrester, Peter J. +1 more
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Aharonov-Bohm effect on the Poincaré disk [PDF]
Journal of Mathematical Physics, 2007 We consider formal quantum Hamiltonian of a charged particle on the Poincaré disk in the presence of an Aharonov-Bohm magnetic vortex and a uniform magnetic field. It is shown that this Hamiltonian admits a four-parameter family of self-adjoint extensions.
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Simple sinflaton-less α-attractors
Journal of High Energy Physics, 2019 We construct the simplest inflationary α-attractor models in supergravity: it has only one scalar, the inflaton. There is no sinflaton since the inflaton belongs to an orthogonal nilpotent superfield where the sinflaton depends on fermion bilinears. When
Renata Kallosh, Yusuke Yamada
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FIELD THEORIES ON THE POINCARÉ DISK [PDF]
International Journal of Modern Physics A, 1996 The massive scalar field theory and the chiral Schwinger model are quantized on a Poincaré disk of radius ρ. The amplitudes are derived in terms of Legendre functions. The behavior at long distances and near the boundary of some of the relevant correlation functions is studied. The exact computation of the chiral determinant appearing in the Schwinger
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Phase portraits of Bernoulli quadratic polynomial differential systems
Electronic Journal of Differential Equations, 2020 In this article we study a new class of quadratic polynomial differential systems. We classify all global phase portraits in the Poincare disk of Bernoulli quadratic polynomial differential systems in R^2.
Jaume Llibre +2 more
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Quantum groups, non-commutative AdS 2, and chords in the double-scaled SYK model
Journal of High Energy Physics, 2023 We study the double-scaling limit of SYK (DS-SYK) model and elucidate the underlying quantum group symmetry. The DS-SYK model is characterized by a parameter q, and in the q → 1 and low-energy limit it goes over to the familiar Schwarzian theory.
Micha Berkooz +3 more
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On Painleve VI transcendents related to the Dirac operator on the hyperbolic disk
, 2007 Dirac hamiltonian on the Poincare disk in the presence of an Aharonov-Bohm flux and a uniform magnetic field admits a one-parameter family of self-adjoint extensions.
Abramowitz M. +3 more
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Making Anti-de Sitter Black Holes [PDF]
, 1996 It is known from the work of Banados et al. that a space-time with event horizons (much like the Schwarzschild black hole) can be obtained from 2+1 dimensional anti-de Sitter space through a suitable identification of points.
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The point charge oscillator: qualitative and analytical investigations
Mathematical Modelling and Analysis, 2019 We study the mathematical model of the point charge oscillator which has been derived by A. Beléndez et al. [2]. First we determine the global phase portrait of this model in the Poincaré disk.
Klaus R. Schneider
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Resonance chains in open systems, generalized zeta functions and clustering of the length spectrum [PDF]
, 2014 In many non-integrable open systems in physics and mathematics resonances have been found to be surprisingly ordered along curved lines in the complex plane.
Barkhofen, Sonja +2 more
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