On a problem of geometric quantization (Q2891011)
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scientific article; zbMATH DE number 6045605
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a problem of geometric quantization |
scientific article; zbMATH DE number 6045605 |
Statements
12 June 2012
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quantizable manifolds
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geometric quantizable
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geometric prequantization
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\(\frac{1}{2}\) -correction forms
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On a problem of geometric quantization (English)
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In the first part of the paper, problems of Dirac's theory of quantization are presented. In the second part, a detailed presentation of the geometrical one-dimensional harmonic oscillator of the geometric Kostant quantization is provided. A new correction is arrived in order to retrieve the result given in the classical Schrödinger quantization for one-dimensional harmonic oscillator example, more exactly the \(\frac12\)-correction forms.
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