Approximating eigenvalues of Schrodinger operator by Ritz method – Complete Phd and Masters Thesis

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Table of Contents

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

Chapter 2: Literature Review
2.1 Introduction to Schrodinger Operator
2.2 Eigenvalues and Eigenvectors
2.3 Ritz Method for Eigenvalue Approximation
2.4 Previous Studies on Eigenvalue Approximation
2.5 Gaps in the Literature

Chapter 3: Research Methodology
3.1 Research Design
3.2 Data Collection Methods
3.3 Data Analysis Techniques
3.4 Sampling and Participants
3.5 Research Instrumentation

Chapter 4: Discussion of Findings
4.1 Analysis of Eigenvalue Approximation Results
4.2 Comparison with Theoretical Values
4.3 Interpretation of Findings
4.4 Implications for Future Research

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

Brief Overview of Thesis

The thesis on “Approximating Eigenvalues of Schrodinger Operator by Ritz Method” aims to explore the use of the Ritz method for approximating eigenvalues of the Schrodinger operator. The study will investigate the effectiveness and accuracy of the Ritz method in determining eigenvalues and compare the results with theoretical values. The research methodology will involve data collection from simulations and numerical computations, as well as analysis of the findings. The conclusion will summarize the findings, discuss their implications, and provide recommendations for future research in the field of eigenvalue approximation.

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