Fundamentals of Quantum Mechanics

Authors: Arpitha Vasudev, Anusha G S, Jayalakshmi B, Laxmi S Sunagar, Kanishka T

Abstract: Quantum Mechanics is one of the most important scientific developments of the twentieth century. It serves as the basis for understanding how matter and energy behave on very small scales. Unlike classical mechanics, quantum mechanics explains physical phenomena through probabilistic models, wave functions, operators, and discrete quantized states. This paper offers a thorough study of the fundamentals of quantum mechanics, covering its historical background, postulates, mathematical framework, wave-particle duality, Schrödinger equation, uncertainty principle, and operator theory. The paper also looks at how quantum mechanics is used in modern technologies such as quantum computing, lasers, semiconductors, and medical imaging. The goal of this paper is to provide a clear and detailed foundation for students and researchers who want to grasp the main principles of quantum theory. General Terms Quantum Mechanics, Physics, Wave Function, Uncertainty, Quantum Theory, Measurement, Operators.