2.1. Show that every symmetry operator for every group can be represented by the (1 × 1) unit matrix. Is it also true that every symmetry operator for every group can be represented by the (2 × 2) unit matrix? If so, does such a representation satisfy the Wonderful Orthogonality Theorem? Why?

2.1. Show that every symmetry operator for every group can be represented by the (1 × 1) unit matrix. Is it also true that every symmetry operator for every group can be represented by the (2 × 2) unit matrix? If so, does such a representation satisfy the Wonderful Orthogonality Theorem? Why?

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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Question

2.1. Show that every symmetry operator for every group can be represented
by the (1 × 1) unit matrix. Is it also true that every symmetry operator for
every group can be represented by the (2 × 2) unit matrix? If so, does such
a representation satisfy the Wonderful Orthogonality Theorem? Why?

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