Zobrazeno 1 - 10
of 52
pro vyhledávání: '"Makrakis, G."'
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
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
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
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
We suggest a new representation of Maslov's canonical operator in a neighborhood of the caustics using a special class of coordinate systems ("eikonal coordinates") on Lagrangian manifolds. The specific features of the two-dimensional case are consid
Externí odkaz:
http://arxiv.org/abs/1308.0182
We suggest a new representation of Maslov's canonical operator in a neighborhood of the caustics using a special class of coordinate systems ("eikonal coordinates") on Lagrangian manifolds.
Comment: 19 pages. Submitted to the Proceedings of the
Comment: 19 pages. Submitted to the Proceedings of the
Externí odkaz:
http://arxiv.org/abs/1307.2292
Publikováno v:
Quarterly of Applied Mathematics, 2003 Mar 01. 61(1), 111-129.
Externí odkaz:
https://www.jstor.org/stable/43638521
Publikováno v:
Quarterly of Applied Mathematics, 2001 Jun 01. 59(2), 365-390.
Externí odkaz:
https://www.jstor.org/stable/43638403
Autor:
Dobrokhotov, S. dobr@ipmnet.ru, Makrakis, G. makrakg@iacm.forth.gr, Nazaikinskii, V. nazaikinskii@yandex.ru
Publikováno v:
Theoretical & Mathematical Physics. Aug2014, Vol. 180 Issue 2, p894-916. 23p.
Publikováno v:
Hokkaido University Preprint Series in Mathematics. 466:1-24
In the present paper we study the geometric properties of the multivalued solutions to the eikonal equation and we give the appropriate classification theorems. Our motivation stems from geometrical optics for approximating high frequency waves in st
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=jairo_______::515515a8da40430449156b4437aadeb9
http://hdl.handle.net/2115/69216
http://hdl.handle.net/2115/69216