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

A symmetry operator is nothing but a symmetry element of a molecule, according to which we can…

Answered: 2.1. Show that every symmetry operator…

Physical Chemistry

2nd Edition

ISBN:9781133958437

Author:Ball, David W. (david Warren), BAER, Tomas

Publisher:Ball, David W. (david Warren), BAER, Tomas

Chapter13: Introduction To Symmetry In Quantum Mechanics

Section: Chapter Questions

Problem 13.21E

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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?