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On averaging a physical quantity that depends on several vectors over one of its independent vectors, the resulting average physical quantity can no longer depend on that vector, but rather depends only on the remaining independent vectors. In my research, my first real need to deal with vector quantities was essentially a requirement to classify the nature of averages of certain speific functions in terms of their dependence on the directions of the remaining independent vectors. With a desire to retain as much of the directional character of these dependences as possible, it was recognizedthat only certain combinations could arise and this simplified the calculations. Several years later,my research involved describing gas transport properties as functions of an external magnetic field but with a need to also keep track of the directions of both the driving force and the flux as well as of the magnetic field. All these directions are naturally expressed in terms of Cartesian vectors. But at the same time, collision processes in the gas are
essentially rotational invariants. To obtain a description that retains the best of both these worlds, I enlisted the aid of Professor J. A. R. Coope, and together we formulated the theory in terms of Irreducible Cartesian Tensors. Clearly some of the properties of these quantities were known
previously, but we consider that we developed a more general understanding of Irreducible Cartesian Tensors. Professor Coope went on by himself to develop the 3-j tensors and their properties. The papers by Professor Coope and myself form the basis of what is presented in this book. In writing the book, some obvious generalizations arose and some developments that we had thought of doing have been accomplished and presented here for the first time. I had hoped that Professor Coope would have joined me in this endeavour, but unfortunately I could not perrsuade him to do so. |
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| Details |
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| SKU |
SKU3691 |
| File Size |
1.2 MB |
| Format |
PDF |
| OS |
Windows/Mac |
| Price: |
$ 44.99
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