Course

Unit I

Origin of quantum theory of radiation: Black body radiation, photo-electric effect, Compton Effect – pair production and annihilation, De-Broglie hypothesis, description of waves and wave packets, group velocities. Evidence for wave nature of particles: Davisson-Germer experiment, Heisenberg uncertainty principle.

Unit II

Atomic structure: Historical Development of atomic structures: Thomson’s Model, Rutherford’s Model: Scattering formula and its predictions, Atomic spectra – Bohr’s Model, Sommerfield’s Model, The correspondence principle, nuclear motion, and atomic excitation, Application: Lasers.

Unit III

Quantum mechanics: Wave function, Probability density, expectation values – Schrodinger equation – time dependent and independent, Linearity and superposition, expectation values, operators, Eigen functions and Eigen values

Unit IV

Application of 1D Schrodinger Wave equation: Free particle, Particle in a box, Finite potential well, Tunnel effect, Harmonic oscillator.

Unit V

Intro to Quantum computing- Q bits- II Quantum correlations: Bell inequalities and entanglement, Schmidt decomposition, super dense coding, teleportation. Module

Course Objectives

The main objective of the course is to expose to the development of Physics with special emphasis on Quantum mechanics-which enable a computer science engineer to apply this in the field of emerging areas like quantum computing.

Course Outcomes

CO1: To be exposed to the fundamental concepts of Wave nature of Particles and Particle nature of Waves.

CO2: To understand various atomic models and their application to phenomena like spectrum formation including LASERS.

CO3: To be introduced to the basics of Quantum mechanics like Wave function, Operators, States of wave function etc.

CO4: To be able to apply quantum mechanics to simple applications like particle in a box, tunnelling of particle across a barrier etc. Equipment use in water treatment.

CO5: Apply Quantum mechanics in the emerging field of Quantum computing.

CO-PO Mapping

Evaluation Pattern: 50:50

Textbook(s)

Arthur Beiser, Shobhit Mahajan, S Rai Choudhury, “Concepts of Modern Physics” – McGraw Hill Education (Ondia) Private Ltd, Sixth edition, 2009.

Eleanor G. Rieffel and Wolfgang H. Polak, “Quantum Computing, A Gentle Introduction”, MIT press.

Reference(s)

R Shankar, “Principles of Quantum Mechanics”, Pearson India (LPE), 2E, 2006.

L I Schiff, “Quantum Mechanics”, TMH, 2E,2010.