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The course introduces the principles of quantum mechanics at intermediate level of the BSc degree program. It covers the time dependent Schr?dinger equation, Conservation of Probability and Hermitian Operators and Orthogonality, Commutation of Operators, The Minimum Uncertainty Product, Eigenfunctions and Eigenvalues, The time independent Schr?dinger equation, General Solution of the Time-independent Schr?dinger equation, Energy Quantization in the Schr?dinger equation, Schr?dinger's equation in One Dimension and its applications.