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Dissertation
Development of Selectively Actuatable Micromirror Arrays and Scalable Lithography Processes for Large-Area Applications as Smart Window
(2023)
This thesis provides an extensive overview on the state-of-the-art daylighting systems for applications in buildings and subsequently addresses the implementation of subfield addressing in micromirror arrays and investigation of a potential scalable lithography process for the large-area fabrication, both have been identified as the research gap in achieving the envisioned application as smart window. The work is conducted in continuation of the optimized fabrication process and the successful fabrication of a lab ...
Habilitation
Computing Ground States for Fermi-Bose Mixtures through Efficient Numerical Methods
(2023-05)
In this work, we will first review the Quantum Mechanics theory to derive the main equations. Next, we will analyze these equations by Functional Analysis methods to find conditions for existence, uniqueness, multiplicity, and other properties as positivity. Next, we will review and develop some numerical methods for solving the nonlinear Schrödinger equation, its time version, generalizations with rotational terms, and systems of NLSE (NLSS). We notice that the main problem to run numerical methods is the memory ...