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This work was first published in 1947 in German under the title "Re chenmethoden der Quantentheorie". It was meant to serve a double purpose: to help both, the student when first confronted with quantum mechanics and the experimental scientist, who has never before used it as a tool, to learn how to apply the general theory to practical problems of atomic physics. Since that early date, many excellent books have been written introducing into the general framework of the theory and thus indispensable to a deeper understanding. It seems, however, that the more practical side has been somewhat neglected, except, of course, for the flood of special monographs going into broad detail on rather restricted topics. In other words, an all-round introduction to the practical use of quantum mechanics seems, so far, not to exist and may still be helpful. It was in the hope of filling this gap that the author has fallen in with the publishers' wish to bring the earlier German editions up to date and to make the work more useful to the worldwide community of science students and scientists by writing the new edition in English. From the beginning there could be no doubt that the work had to be much enlarged. New approximation methods and other developments, especially in the field of scattering, had to be added. It seemed necessary to include relativistic quantum mechanics and to offer, at least, a glimpse of radiation theory as an example of wave field quantization.
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Physics in Canada, Sept. 1973: "...the range of examples is extraordinarily wide: in the sections on potential scattering and bound states over 20 different potentials are solved. There are a number of moderately unusual problems, such as a 'bouncing' electron, and the equation of state for a white dwarf. The writing is clear, (...) the work is a useful reference work for researchers and an excellent practice ground for graduate students. Perhaps, above all, it can be recommended as an almost inexhaustible source of problems for a lazy lecturer hunting for solved problems for classwork!" The Australian Physicist, Mai 1972: "The student who can master these problemes will have a good grasp of the practical applications of quantum theory and, therefore, of the basic concepts as well. I recommend the book unreservedly."