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# Study BSc - Quantum Mechanics and Relativity

UNIT 1- Wave Properties of Matter Introduction – Phase velocity and Group velocity – Analytical expression for a group of waves – Nature of De’Broglie relation – Derivation of the De’Broglie relation – Phase velocity of De’Broglie waves – Relation between the Phase velocity and the wavelength of De’Broglie wave – De’Broglie wavelength associated with a particle of mass M and kinetic energy – Verification of De’Broglie relation – Davission and Germer’s experiments – G P Thomson’s experiments. UNIT 2 - Uncertainty Principle Introduction – Uncertainty Principle – Elementary proof between – Displacement and Momentum – Energy and Time – Physical Significance of Heisenberg’s Uncertainty Anx.22 D - B.Sc. Physics (SDE) 2007-08 Page 10 of 21 Principle – Illustration – Diffraction of electrons through a slit – Gamma ray microscope thought experiment – Application – Non-existence of free electrons in the nucleus – Size and Energy in the ground state of Hydrogen atom UNIT 3 - Schrödinger’s Wave Equation Introduction – Wave function for a free particle – Schrödinger’s One dimensional wave equation – Time-dependent and Time independent – Physical interpretation - Limitation – Normalization of wave function – Operators – Eigen function – Eigen Value – Eigen equation – Operator for Momentum, Kinetic Energy and Total Energy – Postulates of Quantum Mechanics – Orthogonality of Energy Eigen function – Proof – Probability current density – Ehruenfest’s theorem – Statement and proof. UNIT 4 - Spherical Symmetrical systems Three dimensional schrödinger’s wave equation –Hydrogen atom – Wave equation for the Motion of a electron – Separation of variables – Azimuthal wave equation and its solution – Radial wave equation and it’s solutions – Polar wave equation and its solution – Ground size of the Hydrogen atom. UNIT 5 – Relativity Galilean Transformation equation – Ether Hypothesis – Michelson-Morley experiment – Explanation of the Negative results – special theory of Relativity – Lorentz transformation equation – Length contraction – Time dilation – Addition of Velocities – Variation of Mass with velocity – Mass energy equivalence.

## BSc Subjects

 Applied Electronics Atomic Physics and Nuclear Physics Classical Algebra and Calculus CLIENT SERVER COMPUTING Climatology and Oceanography Complex Analysis DATA COMMUNICATION AND NETWORKS DATA STRUCTURES AND C PROGRAMMING Differential Equation Lap lace Transforms DIGITAL FUNDAMENTALS AND ARCHITECTURE Economic geography Geography of India Geomorphology Heat Thermodynamics Mechanics Properties of Matter and Sound Human geography INTERNET and JAVA PROGRAMMING MATHEMATICAL FOUNDATION FOR COMPUTER Mathematical Physics Mechanics Modern Algebra OBJECT ORIENTED PROGRAMMING WITH C++ Optics Electricity and Magnetism Principles of cartography Quantum Mechanics and Relativity Real Analysis SOFTWARE ENGINEERING Solid State Physics Statistics for geographers Statistics for Mathematics SYSTEM SOFTWARE AND OPERATING SYSTEM Trigonometry Vector Calculus and Analytical Geometry VISUAL PROGRAMMING WEB TECHNOLOGY Business Economics Business Management Business Organisation and Office Management Business Statistics Commercial Law and Company Law Company law and secretarial practice I Company law and Secretarial practice II Corporate Accounting Cost and Management Accounting Executive Communication Financial Accounting Industrial law Life Office Management Managerial Economics Mathematics for Business Principles of Accountancy Principles of Life Insurance Principles of Management Principles of Marketing Priniciples of Reinsurance Statistics

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