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pro vyhledávání: '"Karageorge, P. D."'
We present a construction of the Anisotropic Gaussian Semi-Classical Schr\"{o}dinger Propagator, emblematic of a class of Fourier Integral Operators of quadratic phase kernels related to the Schr\"{o}dinger equation. We deduce a set of algebraic rela
Externí odkaz:
http://arxiv.org/abs/2108.11077
We consider semi-classical time evolution for the phase space Schr\"{o}dinger equation and present two methods of constructing short time asymptotic solutions. The first method consists of constructing a semi-classical phase space propagator in terms
Externí odkaz:
http://arxiv.org/abs/2108.11075
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:
Karageorge, Panos D., Smilansky, Uzy
We consider eigenfunctions of the Laplace-Beltrami operator on special surfaces of revolution. For this separable system, the nodal domains of the (real) eigenfunctions form a checker-board pattern, and their number $\nu_n$ is proportional to the pro
Externí odkaz:
http://arxiv.org/abs/0801.4873
Sequences of nodal counts store information on the geometry (metric) of the domain where the wave equation is considered. To demonstrate this statement, we consider the eigenfunctions of the Laplace-Beltrami operator on surfaces of revolution. Arrang
Externí odkaz:
http://arxiv.org/abs/nlin/0606050
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