Výsledky vyhledávání - "Makrakis, G. N."

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Asymptotics for the Phase Space Schr\'{o}dinger Equation

Autor: Karageorge, P. D., Makrakis, G. N.

We consider semi-classical time evolution for the phase space Schr\"{o}dinger equation. We construct a semi-classical phase space propagator in terms of semi-classical wave packets by the Anisotropic Gaussian Approximation, related to the Nearby Orbi

Externí odkaz: http://arxiv.org/abs/2005.08558

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Asymptotic Solutions of the Phase Space Schrodinger Equation: Anisotropic Gaussian Approximation

Autor: Karageorge, P. D., Makrakis, G. N.

We consider the singular semiclassical initial value problem for the phase space Schrodinger equation. We approximate semiclassical quantum evolution in phase space by analyzing initial states as superpositions of Gaussian wave packets and applying

Externí odkaz: http://arxiv.org/abs/1402.6854

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Perturbation solutions of the semiclassical Wigner equation

Autor: Kalligiannaki, E. K., Makrakis, G. N.

We present a perturbation analysis of the semiclassical Wigner equation which is based on the interplay between configuration and phase spaces via Wigner transform. We employ the so-called harmonic approximation of the Schrodinger eigenfunctions for

Externí odkaz: http://arxiv.org/abs/1402.6194

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Formal asymptotic expansion of the Faddeev-Green function in unbounded domains

Autor: Makrakis, G. N.

We consider the Faddeev-Green function in the three-dimensional space and in a slab, and we construct formal asymptotic expansions for the large complex parameter appearing in this function. The basic idea of the construction is to express the Faddee

Externí odkaz: http://arxiv.org/abs/1402.4641

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