By William J. Thompson

ISBN-10: 047155264X

ISBN-13: 9780471552642

ISBN-10: 3527617833

ISBN-13: 9783527617838

Develops angular momentum conception in a pedagogically constant method, ranging from the geometrical suggestion of rotational invariance. makes use of glossy notation and terminology in an algebraic method of derivations. every one bankruptcy comprises examples of purposes of angular momentum thought to topics of present curiosity and to illustrate the connections among numerous clinical fields that are supplied via rotations. comprises Mathematica and c programming language courses.

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Additional resources for Angular Momentum: An Illustrated Guide to Rotational Symmetries for Physical Systems

Example text

14 and rotate it about the z axis as the world turns, then rotate about the new y axis, you will not end up with the lower-right view. The noncommuting of rotations about different axes is the quintessential property underlying the complexity and richness of angular momentum. In classical mechanics this complexity is mostly a nuisance, whereas in quantum mechanics the essential connection between noncommuting operators and the interpretation of quantum measurements (for example, the Heisenberg uncertainty relations) makes angular momentum conceptually and technically very important.

In the next subsection we sketch an answer to this question. 4 PCT and the Pauli Principle: Liider’s Theorem The example of Maxwell’s equations and its invariance under each of P , C, and T separately might suggest to us that this is a property of any field that describes nature. However, this cannot be true, since experiment shows that the weak interaction giving rise to /3 decay violates parity symmetry. Is there any constraint on the symmetries of field equations under the joint action of PCT?

Where does charge conjugation (sign change of all electric charges), denoted C, fit into discrete symmetries? 4, any field theory (such as Maxwell’s equations) is expected to have invariance under the combination PCT (applied in any order). We therefore discuss C along with P and T. A popular exposition of symmetry aspects-from everyday life, through the sciences, to cosmology-is provided in the collection of essays by Martin Gardner [Ga190]. Another introductory-level presentation of symmetries, primarily of the geometric variety, is provided in the book by Bunch [Bun89].

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Angular Momentum: An Illustrated Guide to Rotational Symmetries for Physical Systems by William J. Thompson


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