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Multiplicity of the spectrum of representations connected with integrable G-invariant Hamiltonian systems - MaRDI portal

Multiplicity of the spectrum of representations connected with integrable G-invariant Hamiltonian systems (Q1262591)

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scientific article; zbMATH DE number 4124650
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Multiplicity of the spectrum of representations connected with integrable G-invariant Hamiltonian systems
scientific article; zbMATH DE number 4124650

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    Multiplicity of the spectrum of representations connected with integrable G-invariant Hamiltonian systems (English)
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    1989
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    We establish the relation between integrability in a class of Noether integrals of Hamiltonian systems with symmetries and properties of the spectrum of a unitary representation of the symmetry group obtained by quantization of its action on the phase space of the system.
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    integrability
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    Noether integrals
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    symmetries
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    spectrum
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    quantization
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    phase space
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