V H Satheeshkumar Department of Physics and Center for Advanced Research and Development Sri Bhagawan Mahaveer Jain College of Engineering Jain Global Campus, Kanakapura Road Bangalore 562 112, India. vhsatheeshkumar@gmail.com October 12, 2008

Who can use this?

The lecture notes are tailor-made for my students at SBMJCE, Bangalore. It is the second of eight chapters in Engineering Physics [06PHY12] course prescribed by VTU for the ﬁrst-semester (September 2008 - January 2009) BE students of all branches. Any student interested in exploring more about the course may visit the course homepage at www.satheesh.bigbig.com/EnggPhy. For those who are looking for the economy of studying this: this chapter is worth 20 marks in the ﬁnal exam! Cheers ;-)

Syllabus as prescribed by VTU

Heisenberg’s uncertainty principle and its physical significance, Application of uncertainty principle; Wave function, Properties and Physical significance of a wave function, Probability density and Normalisation of wave function; Setting up of a one dimensional time independent, Schr¨dinger wave equation, Eigen values and eigen function, o Application of Schr¨dinger wave equation : Energy eigen values for a o free particle, Energy eigen values of a particle in a potential well of infinite depth.

Reference

• Arthur Beiser, Concepts of Modern Physics, 6th Edition, Tata McGraw-Hill Publishing Company Limited, ISBN- 0-07-049553-X. ———————————— A This document is typeset in Free Software L TEX2e distributed under the terms of the GNU General Public License.

1

www.satheesh.bigbig.com/EnggPhy

2

1

Introduction

Quantum mechanics is a fundamental branch of physics which generalizes classical mechanics to provide accurate descriptions for many previously unexplained phenomena such as black body radiation, photoelectric eﬀect and Compton eﬀect. The term quantum mechanics was ﬁrst coined by Max Born in 1924. Within the ﬁeld of engineering, quantum...

(1)