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Select ONE statement which is NOT CORRECT: In an irreducible representation, a Casimir operator is proportional to a unit matrix. O A Casimir operator is always proportional to a unit matrix. Differennt irreducible renresentations correspond

Select ONE statement which is NOT CORRECT: In an irreducible representation, a Casimir operator is proportional to a unit matrix. O A Casimir operator is always proportional to a unit matrix. Differennt irreducible renresentations correspond

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Select ONE statement which is NOT CORRECT: O In an irreducible representation, a Casimir operator is proportional to a unit matrix. A Casimir operator is always proportional to a unit matrix. Different irreducible representations correspond to different eigenvalues of a Casimir operator. States described by an irreducible representation are eigenstates of the Casimir operator.
Transcribed Image Text:Select ONE statement which is NOT CORRECT: O In an irreducible representation, a Casimir operator is proportional to a unit matrix. A Casimir operator is always proportional to a unit matrix. Different irreducible representations correspond to different eigenvalues of a Casimir operator. States described by an irreducible representation are eigenstates of the Casimir operator.
Select ONE statement which is NOT CORRECT: O Even-dimensional irreducible representations of groups SO(3) and SU(2) describe fermionic states (those with half-integer spins). O The difference between groups SO(3) and SU(2) is crucial for physical applications. Groups SO(3) and SU(2) can be made isomorphic to each other for rotation angles smaller than 2n. Odd-dimensional irreducible representations of groups SO(3) and SU(2) describe bosonic states (those with integer spins).
Transcribed Image Text:Select ONE statement which is NOT CORRECT: O Even-dimensional irreducible representations of groups SO(3) and SU(2) describe fermionic states (those with half-integer spins). O The difference between groups SO(3) and SU(2) is crucial for physical applications. Groups SO(3) and SU(2) can be made isomorphic to each other for rotation angles smaller than 2n. Odd-dimensional irreducible representations of groups SO(3) and SU(2) describe bosonic states (those with integer spins).
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