| Correspondingly, one has to employ inequivalent representations. |
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| Given an automorphism group, each KMS state corresponds to a representation of the algebra of observables that defines the system, and each of these representations is unitarily inequivalent to any other. |
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| In this sense geometric product is analogous to bindings employed in HRR or BSC, but we can still proceed in several inequivalent ways. |
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| Although armenite contains 10 inequivalent Si-positions, only the topochemically distinct Si sites are resolved in the NMR spectrum. |
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| There are undoubtably many inequivalent such theories with the same low energy limit so we have presented only one of probably many such solutions. |
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