Modern Physics and Quantum Mechanics Black body radiation spectrum, Assumptions of quantum theory of radiation, Planks law, Weins law and Rayleigh Jeans law, For shorter and longer wavelength limits, Wave particle dualism, DeBroglie hypothesis. Compton effect. Matter waves and their characteristic properties, Definition of phase velocity and group velocity, Relation between phase velocity and group velocity, Relation between group velocity and particle velocity. Heisenbergs uncertainty principle and its application, (Nonexistence of electron in nucleus). Wave function, Properties and physical significance of wave function, Probability density and normalization of wave function. Setting up of one dimensional time independent Schrodinger wave equation. Eigen values and eigen functions. Application of Schrodinger wave equation for a particle in a potential well of infinite depth and for free particle. Electrical Properties of Materials Freeelectron concept (Drift velocity, Thermal velocity, Mean collision time, Mean free path, Relaxation time). Failure of classical free electron theory. Quantum free electron theory, Assumptions, Fermi factor, Density of states (Qualitative only), FermiDirac statistics. Expression for electrical conductivity based on quantum free electron theory, Merits of quantum free electron theory. Conductivity of semi conducting materials, Concentration of electrons and holes in intrinsic semiconductors, Law of mass action. Temperature dependence of resistivity in metals and superconducting materials. Effect of magnetic field (Meissner effect). TypeI and TypeII superconductors Temperature dependence of critical field. BCS theory (qualitative). High temperature superconductors. Applications of superconductors Maglev vehicles. Lasers and Optical Fibers Einsteins coefficients (Expression
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Modern Physics and Quantum Mechanics Black body radiation spectrum, Assumptions of quantum theory of radiation, Planks law, Weins law and Rayleigh Jeans law, For shorter and longer wavelength limits, Wave particle dualism, DeBroglie hypothesis. Compton effect. Matter waves and their characteristic properties, Definition of phase velocity and group velocity, Relation between phase velocity and group velocity, Relation between group velocity and particle velocity. Heisenbergs uncertainty principle and its application, (Nonexistence of electron in nucleus). Wave function, Properties and physical significance of wave function, Probability density and normalization of wave function. Setting up of one dimensional time independent Schrodinger wave equation. Eigen values and eigen functions. Application of Schrodinger wave equation for a particle in a potential well of infinite depth and for free particle. Electrical Properties of Materials Freeelectron concept (Drift velocity, Thermal velocity, Mean collision time, Mean free path, Relaxation time). Failure of classical free electron theory. Quantum free electron theory, Assumptions, Fermi factor, Density of states (Qualitative only), FermiDirac statistics. Expression for electrical conductivity based on quantum free electron theory, Merits of quantum free electron theory. Conductivity of semi conducting materials, Concentration of electrons and holes in intrinsic semiconductors, Law of mass action. Temperature dependence of resistivity in metals and superconducting materials. Effect of magnetic field (Meissner effect). TypeI and TypeII superconductors Temperature dependence of critical field. BCS theory (qualitative). High temperature superconductors. Applications of superconductors Maglev vehicles. Lasers and Optical Fibers Einsteins coefficients (Expression
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