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Fundamentals of quantum mechanics;: Particles, waves, and wave mechanics, by Sidney Borowitz
Ebook Fundamentals of quantum mechanics;: Particles, waves, and wave mechanics, by Sidney Borowitz
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- Sales Rank: #3973676 in Books
- Published on: 1967
- Number of items: 1
- Binding: Hardcover
- 401 pages
Most helpful customer reviews
3 of 3 people found the following review helpful.
Fascinating Pedagogic Approach
By G. A. Schoenagel
This book is very well written. It is distinctive in its approach and deserves careful consideration. Study this one after,
or in parallel with, the traditional undergraduate course to appreciate its charms. Emphasis is historical throughout,
but not detrimental to the physics content. Derivations leave few intermediate steps, allowing for painless access to
mathematical methods which might be new to the prospective reader: Dirac Delta Functions, Separation of Variables,
Series Solutions and Calculus of Variations ,just a few of the examples which spring to mind.
Chapters include, sequentially: Wave Propagation (includes a short section on higher dimensional waves), Fourier Series,
Geometrical Optics (ending with Euler-Lagrange), Dynamics review in preparation to the next on Hamilton-Jacobi Theory,
Schrodinger Equation, Foundations, Hydrogen Atom (following Pauli) Perturbation Theory, and much more besides.
The Twenty pages of Chapter (Ten) of Harmonic Oscillators (" the queen of Quantum Mechanical problems" , the author writes)
is as thorough and innovative as one is likely to come across at such a middling level.
Ninth Chapter, WKB Approximation, is as thorough, as painless, as one is likely to peruse at this elementary a level !
Problems at Chapter endings are straightforward, some provided with hints to aid in their solution.
A wonderfully informative textbook; pitched at the same mathematical maturity as the usual undergraduate offerings.
However, this one differs from those offerings in following an historical path chartered by Schrodinger's original papers.
Schrodinger's "Collected Papers On Wave Mechanics" inspired the present volume, as noted by the author.
( However, Heisenberg's matrix methods--the Author "..of great theoretical significance"-- are given nice exposition.)
Thus, embodied within these pages, an interesting, thought-provoking, yet introductory, approach.
The author is painstaking in revealing intermediate mathematical steps and does not allow linguistic ambiguity to mar the discussion.
(As examples: One will not find Correspondence Principle listed in the index. Pages 240-245, Uncertainty Principle, are as
accurate a representation, physically and mathematically, as one is likely to read at this level, nothing to 'unlearn' later !).
Finally,quoting from the review in (Vol.36,P.769,1968) American Journal of Physics: "...it appears that this volume will be a
useful addition to the long list of books with similar titles, both as a basis for advanced undergraduate courses and for individual study."
Highly recommended !
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