Quantum mechanics has long been recognized as an essential ingredient in the training of a student in Physics, Chemistry and Electrical Engineering. 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. During the past 8 years, one of the authors (AG) has been giving (every year) course of lectures on Quantum Mechanics to research scholars at IUAC (Inter University Accelerator Center) in New Delhi. Some of the analysis given here have emerged from these lectures.

This book Useful for Physics Students.

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

10. Spherically symmetric potentials

11. Dirac's bra and ket algebra

12. Linear harmonic oscillator II

13. Angular momentum II

14. Experiments with spin half particles

15. Angular momentum III

16. The double-well potential and the Kronig-Penney model

17. The JWKB approximation

18. Addition of angular momenta: The Clebsch-Gordan coefficients

19. Time independent perturbation theory

20. Effective of magnetic field

21. The variational method

22. The helium atom and the exclusion principle

23. Some select topics

24. Elementary theory of scattering

25. Time dependent perturbation theory

26. The semi-classical theory of radiation and the Einstein coefficients

27. The quantum theory of radiation and its interaction with matter

28. Relativistic theory

29. Many-electron atoms

Appendices

Index