The Hamilton-Jacobi treatment of supersymmetric quantum mechanics (Q2747044)
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scientific article; zbMATH DE number 1657073
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Hamilton-Jacobi treatment of supersymmetric quantum mechanics |
scientific article; zbMATH DE number 1657073 |
Statements
14 October 2001
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quantization
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supersymmetric mechanics
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Lagrangian
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integrability conditions
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The Hamilton-Jacobi treatment of supersymmetric quantum mechanics (English)
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The quantization of supersymmetric quantum mechanics in Witten's version is investigated using the Hamilton-Jacobi formalism. The equations of motion of the Grassmann variables are obtained from the integrability conditions. Some of these conditions may be satisfied identically and the rest ones may cause new constraints. It is proved that both Hamilton-Jacobi formalism amd Dirac's formalism are equivalent at classical and quantum level.
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