Theory of Atomic Collisions by N. F. Mott | (PDF) Free Download

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The Theory of Atomic Collisions Third Edition by N.F. Mott and H.S. W. Massey in the International Series of Monographs on Physics, published 1965 by Oxford University Press.

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⭐I bought this book because it contains original material relating the Mott and Massey’s theoretical development of quantum scattering. Mott and Massey have other publications and books describing their theoretical work. I thought there might be more regarding the subject in the book than there is. My rating reflects the quality of Mott and Massey’s presentation.

⭐Everything OK !

⭐Let us first go back in time to read an excerpt from the review of the First (1933) Edition,from May 1934, Bulletin of the American Mathematical Society, by Gregory Breit :”The authors content themselves with brief statements about very good agreement with experiment.Although it is certain that for distant nuclear collisions Wave Mechanics works, too much optimismabout its universal applicability can be scarcely justified at present….”Happily, turning to the 1983 Princeton University Press Publication, Quantum Theory and Measurement(edited by Wheeler and Zurek), the book of Mott and Massey gets a reprieve of sorts !There you will find a reprinting of their Section Two, of Chapter Nine: Magnetic Moment of the Electron.That is merely one reason to secure and study the book of Mott and Massey. There are other reasons.Even if the topic of Atomic Collisions is peripheral to your most pressing of needs, after all, this isa single-themed exposition: “particles moving only with small velocity and no discussion of nuclear structure,”there is still much of interest and enduring value herein:(1) First Chapter a synopsis of elementary Wave Mechanics: “…we shall state the laws of quantum mechanicswith a view to their application to problems involving the motion of a free electron…” (Page 1).”The study of Wave Packets is of little use in enabling one to predict the results of real experiments.” (Page 14).(2) Scattering by Coulomb Field, we read: “the scattered intensity is the same as that given by the classical theory;this is not true of any other field that has been investigated.” (Page 24).Whittaker and Watson’s Modern Analysis is referenced, thus have it at hand (e.g.: Hypergeometric Series).(3) The Optical Theorem, here justified early on: “…may be generalized to any type of scattering.” (Page 52).(4) Green’s Functions introduced in Chapter Four, primarily a formal, if moderately introductory, treatment.Contour Integration is necessary mathematical prerequisite to derive maximum benefit of Chapter Four.(5) Chapter Five presents exposition of Wheeler and Ford’s work (1959 Annals of Physics); Scattering when…” …angle of scattering is not uniquely related to the angular momentum.” A highly useful synopsis !(6) Schwinger: his work touched upon in a number of places, especially Pages 118-138, referencing Integral Equations.(7) Approximation methods, primarily due to Max Born, are highlighted: e.g., Name Index, his work referenced almost 150 times.In particular, Chapter Five: Born’s Approximation and Semi-Classical Approximations; a nice discussion of convergence issues.(8) There is an insightful discussion of “the collision of two particles without spin” (Pages 294-299).Finally, if for no other reason than to read Chapter Nine’s thorough discussion of:The Spin of The Electron (Pages 210-258), it is recommended by all to secure a copy of this publication by Mott and Massey.I note that (as late as 1998) a supersymmetry theorist whom I consulted regarding a calculation in this book, had not heard of the book !At the time, I was shocked that one could never have heard of this publication ! Now, of course–and, sadly enough–it is all too common.Thus, let us not forget: Physics, with a capital P, not only straddles the fence of theory, but, too, the fence of experiment.It is in the comparison between the two (experiment and theory) where Mott and Massey is at its best !Have fun with this book !

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