(If you like my guide, please VOTE for it above. Also, if you have any comments or questions, or additions, you can EMAIL ME: GregBravo1@aol.com. Thanks!) For those of you who have struggled through theoretical physics textbooks just to have no clue, after all that effort, how to USE that stuff to solve REAL-WORLD problems... I can sympathize! Physics is often taught in the following terrible fashion: A one-hour lecture wherein you prove a vector identity or derive a relationship, then a homework assigment wherein you need to USE the conclusion of that derivation, but without being given any suggestion as to how that is done. This is like taking a foreign language course on German wherein you learn the historical reason and development of why the verb must always be second in the sentence, after which being asked to write an essay in German without even being given any examples as to how that is done! The only way you can learn a language is to be given many examples of how the rules of the language are USED and APPLIED, then to PRACTICE applying these rules yourself. Likewise, the only way to learn PHYSICS is to see many examples of how physics is USED and APPLIED, and then PRACTICE applying these techniques yourself. In order to help you do that, I have assembled all the PROBLEM BOOKS ON QUANTUM MECHANICS I could find. All these books contain PROBLEMS AND WORKED SOLUTIONS!!! I have used most of these myself, and have found most of them quite useful. (If anyone has any additions or COMMENTS, please email me: GregBravo1@aol.com I will work on other topics, such as mechanics, as time permits.)
By far the most useful book I've found is: 'Problems in Quantum Mechanics : With Solutions' I can't say enough good things about this book! This little book is great in that it contains a few pages of key equations and explanations before each chapter of WORKED PROBLEMS AND SOLUTIONS. It saved me many a time. In addition to that (and unlike many textbooks) the problems that are selected are selected with great care, seemingly to demonstrate the most important concepts in the most clear way. There are only about 10 problems at the end of each ten chapters, for about 100 total in the book, but each problem introduces a new key concept or key technique--- and I do emphasize KEY. The solutions are extensive, clear, and well thought-out, with no steps left out of derivations, and comments made as to the importance of each concept when appropriate. In short, there is no filler in this book, and what is presented is pure gold. If you work slowly through each of these 100 problems, you will be an expert in the basics of QM when you are through.
The second most useful book I have found is the following: 'Problems and Solutions on Quantum Mechanics: Major American Universities Ph. D. Qualifying Questions and Solutions (Major American Universities Ph. D. Qualifying Questions and Solutions)' This book contains 380 problems and WORKED SOLUTIONS on QM taken from seven American university qualifying exams (MIT, Columbia, SUNY Buffalo, Chicago, Berkeley, Princeton and Wisconsin.) VERY VERY HELPFUL. All the Y.K. Lim series are KEY--- there are other volumes on EM, Mechanics and Stat Mech and others. (There are not, however, any review chapters or actual theory. Just Problems and Solutions. And isn't that what you wanted anyway?!?)
How about: 'Problems in Quantum Mechanics' That is just what you will find here. This CHEAP Dover book covers many topics and the solutions are worked well. However, it is rather old in it's presentation: No Dirac Bra-Ket formalism, just integrals. Still very useful.
'Schaum's Outline of Quantum Mechanics (Schaum's)' Schaum's is still quite helpful. The sections on addition of angular momenta I found especially helpful.
'Problems & Solutions in Nonrelativistic Quantum Mechanics' This book is great for advanced topics. Just problems and solutions, but very insightful. (I have not seen the textbook that this solution manual goes to. You dont need it.)
HERE ARE THE REST (IN NO PARTICULAR ORDER):
'The Quantum Mechanics Solver: How to Apply Quantum Theory to Modern Physi(Advanced Texts in Physics)'
'Problems and Solutions in Quantum Mechanics with Mathematics' (ISBN # on this book is: 3540941460. It is hard to find, but you can find it used.)
'Theoretical Physics - Text and Exercise Books: Quantum Mechanics: an Introduction'
'Exercises in Quantum Mechanics: A Self-Contained Book of Questions and Answers'
'University of Chicago Graduate Problems in Physics with Solutions'
'A Guide to Physics Problems : Part 2: Thermodynamics, Statistical Physics, and Quantum Mechanics (The Language of Science)'
'Exercises in Quantum Mechanics : A Collection of Illustrative Problems and Their Solutions (Reidel Texts in the Mathematical Sciences)'
'Practical Quantum Mechanics (Classics in Mathematics)'
'Princeton Problems in Physics with Solutions'
'Physics by Example : 200 Problems and Solutions' (The QM section in this book is small and elementary, but the problems are worked well and the rest of this book is great for other topics!)
Plus: A Bonus! Worked problems in QUANTUM FIELD THEORY!
'Exercises in Quantum Field Theory: A Self-Contained Book of Questions and Answers'