Perspectives of Modern Physics (Part-A) (Bilingual Format) आधुनिक भौतिकी के परिप्रेच्छ

Units

Topics

No. of Lectures

Part-A

Perspectives of Modern Physics

I

Relativity-Experimental Background

Structure of space & time in Newtonian mechanics and inertial & non-inertial frames. Galilean transformations. Newtonian relativity. Galilean transformation and Electromagnetism. Attempts to locate the Absolute Frame: Michelson-Morley experiment and significance of the null result. Einstein’s postulates of special theory of relativity.

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II

Relativity-Relativistic Kinematics

Structure of space & time in Relativistic mechanics and derivation of Lorentz transformation equations (4-vector formulation included). Consequences of Lorentz Transformation Equations (derivations & examples included): Transformation of Simultaneity (Relativity of simultaneity); Transformation of Length (Length contraction); Transformation of Time (Time dilation); Transformation of Velocity (Relativistic velocity addition); Transformation of Acceleration; Transformation of Mass (Variation of mass with velocity). Relation between Energy & Mass (Einstein’s mass & energy relation) and Energy & Momentum.

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III

Inadequacies of Classical Mechanics

Particle Properties of Waves: Spectrum of Black Body radiation, Photoelectric effect, Compton effect and their explanations based on Max Planck’s Quantum hypothesis. Wave Properties of Particles: Louis de Broglie’s hypothesis of matter waves and their experimental verification by Davisson-Germer’s experiment and Thomson’s experiment.

8

IV

Introduction to Quantum Mechanics

Matter Waves: Mathematical representation, Wavelength, Concept of Wave group, Group (particle) velocity, Phase (wave) velocity and relation between Group & Phase velocities. Wave Function: Functional form, Normalisation of wave function, Orthogonal & Orthonormal wave functions and Probabilistic interpretation of wave function based on Born Rule.

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Part-A

1

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2

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3

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4

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