No matter which specialization the student chooses in his later career, it is necessary for him to develop not merely an understanding of the basic principles of quantum mechanics but an ability to apply these principles in his field. Textbooks on quantum mechanics addressed to students at under-graduate and post-graduate levels generally have few solved problems; moreover, the problems suggested are largely of an academic nature with a greater emphasis on theory than on applications. This book makes an attempt to present the basic concepts in quantum mechanics with emphasis on applications in other areas like nuclear physics, astrophysics, solid state physics, quantum optics, etc. Each chapter is followed by a number of problems. The solutions to most of these problems have been given at the end of the chapter.

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No matter which specialization the student chooses in his later career, it is necessary for him to develop not merely an understanding of the basic principles of quantum mechanics but an ability to apply these principles in his field. Textbooks on quantum mechanics addressed to students at under-graduate and post-graduate levels generally have few solved problems; moreover, the problems suggested are largely of an academic nature with a greater emphasis on theory than on applications.

This book makes an attempt to present the basic concepts in quantum mechanics with emphasis on applications in other areas like nuclear physics, astrophysics, solid state physics, quantum optics, etc.

Each chapter is followed by a number of problems. The solutions to most of these problems have been given at the end of the chapter. This will enable the student to refer to the solutions when necessary and at the same time provide him an opportunity, if he so wishes, to solve some or all of these problems by himself before consulting the solutions.

The emphasis has not been on rigour but on making results plausible and helping the students to become familiar with methods for solving problems. The book has evolved from lectures given by the authors to students of physics and engineering at IIT Delhi and at University of Rajasthan, Jaipur. Some of the analysis given here have emerged from these lectures.

Table of Content: 1. The Direct delta function 2. Fourier transforms 3. Particles and waves and the uncertainty principle 4.

Time dependent Schrodinger equation 5. Propagation of wave packets and concept group velocity 6. Bound state solutions of the Schrodinger equation 7. Linear harmonic oscillator: I 8. One-dimensional barrier transmission problems 9. Angular Momentum I - the spherical harmonics Spherically symmetric potentials Linear harmonic oscillator II Angular momentum II Experiments with spin half particles Angular momentum III The double-well potential and the Kronig-Penney model The JWKB approximation Addition of angular momenta: The Clebsch-Gordan coefficients Time independent perturbation theory Effective of magnetic field The variational method The helium atom and the exclusion principle Some select topics Elementary theory of scattering Time dependent perturbation theory The semi-classical theory of radiation and the Einstein coefficients The quantum theory of radiation and its interaction with matter Relativistic theory.

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## Quantum Mechanics: Theory and Applications

About this book Introduction An understanding of quantum mechanics is vital to all students of physics, chemistry and electrical engineering, but requires a lot of mathematical concepts, the details of which are given with great clarity in this book. Various concepts have been derived from first principles, so it can also be used for self-study. The chapters on the JWKB approximation, time-independent perturbation theory and effects of magnetic field stand out for their clarity and easy-to-understand mathematics. Two complete chapters on the linear harmonic oscillator provide a very detailed discussion of one of the most fundamental problems in quantum mechanics. Operator algebra is used to show the ease with which one can calculate the harmonic oscillator wave functions and study the evolution of the coherent state. Similarly, three chapters on angular momentum give a detailed account of this important problem. Perhaps the most attractive feature of the book is the excellent balance between theory and applications and the large number of applications in such diverse areas as astrophysics, nuclear physics, atomic and molecular spectroscopy, solid-state physics, and quantum well structures.

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