Semiclassical Wave Packets on Riemannian Manifolds

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Dokumentart: PhDThesis
Date: 2018-08-29
Language: English
Faculty: 7 Mathematisch-Naturwissenschaftliche Fakultät
Department: Mathematik
Advisor: Teufel, Stefan (Prof. Dr.)
Day of Oral Examination: 2016-11-18
DDC Classifikation: 500 - Natural sciences and mathematics
510 - Mathematics
530 - Physics
Keywords: Mathematik , Mathematische Physik , Zeitabhängige Schrödinger-Gleichung , Riemannscher Raum , Approximation , Wellenpaket
Other Keywords:
Time-dependent Schrödinger equation
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In this work semiclassical Gaussian wave packets are introduced and it is shown that they are approximate solutions to the Schrödinger equation in semi-classical scaling on Riemannian manifolds of bounded geometry. Furthermore it is proved that they are an approximation to the full solution and first error bounds are given.

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