Quantum Mechanics I.

Fülszöveg

FROM REVIEWS
'The author's plan for writing a com-prehcnsive and modern book on quantum mechanics has been partly realized in the appearance of the first of a sériés of two volumes on this subject. As one would expect, the first volume, reviewed here, deals mainly with the elementary parts of the field. However, it is not what one would commonly cali an elementary text, even though it covers most of the top ics which are usually included in elementary courses in quantum mechanics. One of the reasons is the early introduction in the text of modern mathematical methods (linear operators in Hilbert «pace) by which the formalism of quantum mechanics is developed. This, as well as other features which are incorporated, makes it an excellent text for a graduate course in quantum mechanics. The author begins with a criticai and clear exposition of the shortcomings of the classical theories of dynamics and electromagnetic theory, including the old quantum theory, in explaining... Tovább

Fülszöveg

FROM REVIEWS
'The author's plan for writing a com-prehcnsive and modern book on quantum mechanics has been partly realized in the appearance of the first of a sériés of two volumes on this subject. As one would expect, the first volume, reviewed here, deals mainly with the elementary parts of the field. However, it is not what one would commonly cali an elementary text, even though it covers most of the top ics which are usually included in elementary courses in quantum mechanics. One of the reasons is the early introduction in the text of modern mathematical methods (linear operators in Hilbert «pace) by which the formalism of quantum mechanics is developed. This, as well as other features which are incorporated, makes it an excellent text for a graduate course in quantum mechanics. The author begins with a criticai and clear exposition of the shortcomings of the classical theories of dynamics and electromagnetic theory, including the old quantum theory, in explaining microscopie phenomena, and gradually leading his readers to de Broglie's ideas of material waves and to Schrôdinger's time-dépendent équation by means of linear operators. By introducing this powerful mathematical method, the author is able to treat many problems (one-dimen-sional, etc.) in élégant form, the statistical interprétation of the principle of duality and the uncertainty principle of Heisenberg, and the study of discrete and continuons spectra représentation of wave functions. Of particular interest is the chapter devoted to linear operators in Hilbert space and the vectors associated with dynamical observables following Dirac's ideas (bra and ket vectors) and the theory of représentation of such quantities in matrix form, thus building a general mathematical formalism of quantum mechanics, usually left out in a first course, and the unification of Schrôdinger's and Heisenberg's descriptions of quantum phenomena. The last
third of the book deals mainly with the solution of Schrödinger's équation in three variables including such systcms as the hydrogen atom, two-body problems, and scattering problems by various potential fields. The concluding chapter contains a detailed analysis of the harmonie oscillator in terms of matrix représentation theory.
In order to make the book self-contained, several mathematical appendixes are in-cluded with the view of facilitating the mathematical parts of the book. A good feature of this book is the inclusion of carefully selected problems not only illustrating the theory but also com-plementing the material of the text. Finally, the reviewer would like to re-commend the book to students taking a beginner's course in quantum mechanics, to teachers for broadening the scope of such courses, and also to research workers in understanding the principles and meth-ods of quantum mechanics and for acquir-ing the necessary knowledge for an understanding of the advanced parts of the field.'
Physics today
Therc is no doubt that the contents of this great work ought to be mastered by every postgraduate research student in theoretical physics. I hope that it will very soon appear in English translation, for to my knowledge there is no other book like it.
Proc. Phys. Soc.
clarity and coherence of présentation. Chiefly contributing to this impression is the fluid and literate style of the author's writing, plus a meticulous attention to detail, with regard both to consistency of notation and arrangement
of the various topics discussed
The book is a fine example of good textbook writing, and can be strongly recommended.
Am. Journal of Physics Vissza