Course

Unit I

Basic concept of Classical Mechanics: Mechanics of particle, Mechanics of System of Particles, constraints, Holonomic and Non holonomic constraints, Virtual work, Alembert’s Principle, Lagrange’s equations, Simple Application of Lagrange’s formulation- Linear Harmonic Oscillator, simple Pendulum.

Unit II

Quantum Theory: Origin of Quantum theory, Black body Radiations, Distribution of energy in the Spectrum of black body Radiation, Photoelectric effect, Laws of photoelectric emission, Ritz combination principle, Planck’s radiation.

Unit III

De Broglie’s Wave and Uncertainty Principle: Inadequacy of classical mechanics, two slit experiment, superposition Principle, Wave particle dualism for light and matter, De Broglie’s Wave, De Broglie’s model of the atom, wave Velocity and group velocity, Heisenberg uncertainty Principle. Application of uncertainty Principle – (1) Energy and radius of Bohr First Orbit (2) Why electron cannot present in the nucleus.

Unit IV

Schrodinger Equation and its Application: Concept of Wave function “Ψ”, Schrodinger Equations- Time dependent form, Expectation Value, Operators, Time Independent Schrodinger equation (Steady State form), Particle in one dimensional box, energy Quantization, Wave function.

Course objective: Understanding of the scientific method of work and the evolution of physics from the classical to its modern era.

Course Outcomes:

• To apply the basic ideas of Lagrangian mechanics to solve classical problems.
• To explain the failures of Classical mechanics and the origin of Quantum mechanics.
• To explain the dual nature of light and uncertainty principle and apply it in answering curious question.
• To apply the advancement in Quantum mechanics in problem solving.

CO – PO mapping

Reference Books:-

• Classical Mechanics – Herbert Goldstein, Charles P. Poole, John L. Safko – 2001 3^rd edition
• Classical Mechanics – J.C. Upadhayaya – 1^st edition 1999
• Perspective of Modern Physics – Bezier 6^th edition 2003
• Quantum Mechanics – Robert Eisberg – 1985 2^nd edition
• Modern Physics – J. B. Rajam – 2004
• Quantum Mechanics – B. S. Rajput – 2016 13^th edition
• Elements of Quantum Mechanics – Kamal Singh-S.P. Singh – 2005 1^st
• Introduction to Quantum Mechanics – David J. Griffiths – 1994