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In the mathematical physics of quantum mec … In the mathematical physics of quantum mechanics, Liouville space, also known as line space, is the space of operators on Hilbert space. Liouville space is itself a Hilbert space under the Hilbert-Schmidt inner product. Abstractly, Liouville space is equivalent (isometrically isomorphic) to the tensor product of a Hilbert space with its dual. A common computational technique to organize computations in Liouville space is vectorization. Liouville space underlies the density operator formalism and is a common computation technique in the study of open quantum systems.ique in the study of open quantum systems.
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| rdfs:comment |
In the mathematical physics of quantum mec … In the mathematical physics of quantum mechanics, Liouville space, also known as line space, is the space of operators on Hilbert space. Liouville space is itself a Hilbert space under the Hilbert-Schmidt inner product. Abstractly, Liouville space is equivalent (isometrically isomorphic) to the tensor product of a Hilbert space with its dual. A common computational technique to organize computations in Liouville space is vectorization. Liouville space underlies the density operator formalism and is a common computation technique in the study of open quantum systems.ique in the study of open quantum systems.
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| rdfs:label |
Liouville space
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