Fundamentals of Modern Physics and Quantum Mechanics

Modern physics reveals the fundamental, often counter-intuitive, laws governing reality at the atomic and subatomic levels. This course provides the essential theoretical framework needed to understand these revolutionary concepts. By completing this course, you will gain a solid theoretical foundation in the principles of special relativity, early quantum theory, and core non-relativistic quantum mechanics, preparing you for advanced studies in science, chemistry, or engineering. What you'll learn: * Understand the limitations of classical physics and the foundational experiments (Blackbody, Photoelectric, Compton effects) that led to quantum theory. * Apply the principles of wave-particle duality and the de Broglie hypothesis to analyze matter waves and probability. * Master the time-independent Schrödinger equation and solve it for fundamental systems like the particle in a box and the harmonic oscillator. * Calculate expectation values and interpret the physical meaning of wave functions and probability densities. * Learn the role of quantum operators and basic Dirac notation for describing observable quantities. * Explore the concept of quantum spin and the Pauli exclusion principle, essential for understanding atomic structure. The material begins with the historical context of special relativity and early quantum theory, progressing systematically into the mathematical formalism of wave mechanics and key quantum applications. You will practice applying these concepts through written examples and conceptual problems. This course is designed for absolute beginners in quantum mechanics, including students of science, engineering, and anyone curious about the laws governing the subatomic world. No prior advanced physics knowledge is required. Begin your journey into the fascinating world of quantum reality today.