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This lecture covers the solutions of the Schrodinger Equation for various systems including the free particle, infinite potential well in 1D, 2D, and 3D, harmonic oscillator, rigid rotor, and hydrogen atom. The lecture explores the wave-particle duality, energy states, and wavefunctions associated with different potentials. It delves into the characteristics of material waves and their dynamics, emphasizing the quantum mechanical effects and energy levels. The presentation also discusses the wave nature of particles, probability density functions, and the principles of quantum mechanics.