Infinite-dimensional Schrödinger equations and the representation of a group of symplectomorphisms of a Hilbert phase space (Q1200393)
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scientific article; zbMATH DE number 95239
| Language | Label | Description | Also known as |
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| English | Infinite-dimensional Schrödinger equations and the representation of a group of symplectomorphisms of a Hilbert phase space |
scientific article; zbMATH DE number 95239 |
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Infinite-dimensional Schrödinger equations and the representation of a group of symplectomorphisms of a Hilbert phase space (English)
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16 January 1993
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The asymptotic quantization scheme is proposed for the infinite- dimensional case. It is a generalization of the \textit{M. V. Karasev} and \textit{V. P. Maslov} method [Russ. Math. Surv. 39, No. 6, 133-205 (1984; Zbl 0588.58031)]. The quasi-classical solutions of the Schrödinger equations (with Hamiltonians on the Hilbert symplectic space) are constructed.
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asymptotic quantization scheme
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infinite-dimensional case
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quasi- classical solutions of the Schrödinger equations
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Hilbert symplectic space
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