Approximating eigenvalues of honeycomb lattices using Wannier functions – Complete Phd and Masters Thesis

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Table of Contents:

Chapter 1: Introduction
1.1 Background of the Study
1.2 Research Problem
1.3 Research Questions
1.4 Objectives of the Study
1.5 Significance of the Study
1.6 Limitations of the Study
1.7 Scope of the Study

Chapter 2: Literature Review
2.1 Overview of Honeycomb Lattices
2.2 Previous Studies on Eigenvalues of Honeycomb Lattices
2.3 Wannier Functions and their Application in Eigenvalue Approximation
2.4 Gaps in Existing Literature

Chapter 3: Research Methodology
3.1 Research Design
3.2 Data Collection Methods
3.3 Data Analysis Techniques
3.4 Sampling Procedure
3.5 Research Validity and Reliability

Chapter 4: Discussion of Findings
4.1 Overview of Findings
4.2 Analysis of Eigenvalue Approximation Results
4.3 Comparison with Existing Studies
4.4 Implications of Findings

Chapter 5: Conclusion and Summary
5.1 Summary of Findings
5.2 Contributions to Knowledge
5.3 Recommendations for Future Research
5.4 Conclusion

Brief Overview of Thesis:
The thesis on “Approximating Eigenvalues of Honeycomb Lattices using Wannier Functions” aims to explore the application of Wannier functions in approximating the eigenvalues of honeycomb lattices. The study will investigate the effectiveness of this method in accurately predicting the eigenvalues of honeycomb lattices compared to existing approaches.

The literature review will provide an overview of honeycomb lattices, previous studies on their eigenvalues, and the use of Wannier functions in eigenvalue approximation. The research methodology will outline the design, data collection methods, and analysis techniques used in the study.

The discussion of findings will present the results of the eigenvalue approximation using Wannier functions and compare them with existing studies. The conclusion will summarize the findings, discuss their implications, and provide recommendations for future research in this area.

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