Investigating the Quantum Mechanical Implications of Graphene-Based Materials on Electronic Device Performance

1. Introduction 1.1 Background and Motivation 1.2 Objectives of the Study 1.3 Structure of the Thesis 2. Quantum Mechanics in Graphene 2.1 Basic Principles of Quantum Mechanics 2.2 Graphene's Quantum Properties 2.3 Comparison with Other Materials 3. Graphene-Based Materials 3.1 Types of Graphene Derivatives 3.2 Synthesis Methods 3.3 Characterization Techniques 4. Electronic Devices Utilizing Graphene 4.1 Current State of Graphene-Based Devices 4.2 Advantages Over Traditional Materials 4.3 Limitations and Challenges 5. Performance Analysis of Graphene Devices 5.1 Electrical Conductivity and Mobility 5.2 Thermal Properties and Stability 5.3 Scalability and Manufacturability 6. Quantum Mechanical Implications 6.1 Impact on Electron Transport 6.2 Quantum Tunneling Effects 6.3 Band Structure Modifications 7. Case Studies and Applications 7.1 Graphene in Transistors 7.2 Graphene in Sensors 7.3 Graphene in Energy Storage 8. Conclusions and Future Work 8.1 Summary of Key Findings 8.2 Implications for Future Research 8.3 Potential Industrial Applications