Theses and Dissertations

A Novel Boundary Integral Formulation for Quantum Energy Eigenvalue Analysis and Its Application in a Model-Based Systems Engineering Framework for Quantum Systems Development

Date of Award


Document Type


Degree Name



Systems Engineering

Committee Chair

Anh-Vu Phan, Ph.D.


In recent decades, the development and utilization of high-end technologies have increased noticeably. This progress has become possible by finding a complete understanding of physical rules in microscopic scales, such as quantum mechanics. Quantum technologies can be applied to various fields, including optics, superconduction, computing and simulation, precision measurement, and biomedical imaging to enhance the performance of relevant devices and systems. However, the complexity which emerges in the procedure of developing such devices can prevent one from taking advantage of potential quantum technologies to effectively develop these devices. In the current research, an attempt has been made to find a solution for this problem. Based on the various benefits of using systems engineering techniques in managing the complexities of developing such systems, a model-based systems engineering methodology has been employed towards the development of quantum systems. In this research, quantum dot solar cells are chosen as a typical quantum system, and four main stages of system analysis, design, manufacturing, and verification, validation, and testing are considered and studied during the product lifecycle. By integrating systems engineering tools with domain engineering tools, it is verified that the use of appropriate models can facilitate the overall procedure of system development. Moreover, by focusing on the system design and analysis phases, a novel boundary integral formulation was developed in this research to accelerate the procedure of system development. This approach decreases the computation burden required to solve the governing equation of quantum devices and accomplishes the design procedure more effectively and accurately. Various case studies have demonstrated that the proposed technique can enhance both the accuracy and computational-efficiency in the design of new quantum devices.

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