Syllabus :
Experimental Basis of Quantum Mechanics: Double slit experiment and Stern-Gerlach experiment (basic ideas); De Broglie's hypothesis (matter wave dual nature); Wave-particle duality. Postulates of Quantum Mechanics: Wave function and wave packets; Position and momentum operators, Uncertainty principle, Commutators; Schrödinger equation, Probabilities, probability current densities, wave function normalization; Expectation values, eigenvalues and eigenfunctions. Applications of Schrödinger Equation: Infinite potential well, energy quantization; Finite square well, potential step and potential barrier, quantum tunnelling; Harmonic Oscillator, energy eigenvalues and eigenfunctions.
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Reference Books :