The problems in this book are intended to cover the topics in an average second- and third-year undergraduate course in Quantum Mechanics. After a preliminary chapter on orders of magnitude, there are eight chapters on topics arranged in a fairly conventional order. The tenth and final chapter contains a selection of miscellaneous problems on the topics of the previous chapters. I have separated them from the others on the grounds of their being somewhat longer and perhaps more difficult. But you should not be deterred from trying them on that account.

The important thing for all the problems is that you do attempt them. If you attempt a problem, and think about it, but cannot solve it, and then look up the solution, you will get much more benefit than if you jump to the solution as soon as you have read the problem. If you can solve a problem, you are still advised to look at the solution, which might contain a quicker or neater method than the one you have used. (If yours is quicker or neater I shall be pleased to hear from you.) I have also included some comments at the ends of some of the solutions, which you may find useful. They relate, either to the algebraic technique, or, more commonly, to a physical interpretation or application of the result.

At the beginnings of Chapters 2 to 9, I have included sections entitled Summary of theory, and you should read the summary before trying the problems in the chapter.