Quantum kicked top: Lie algebraic approach (Q1809424)
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scientific article; zbMATH DE number 1370268
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quantum kicked top: Lie algebraic approach |
scientific article; zbMATH DE number 1370268 |
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Quantum kicked top: Lie algebraic approach (English)
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9 May 2000
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Dynamics of the nonlinear three-component angular momentum vector is analyzed within the Heisenberg picture. It is proved that one can obtain a linear system by proper embedding in a larger linear space \(U(2j+1)\) Lie algebra. The linearization of the problem enables to define linear dynamics of parameters, isomorphic to the linear operator dynamics of Lie group parameters.
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groups in quantum mechanics
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\(U(n)\) representations
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Heisenberg picture
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Lie algebra
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0.8600029
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0.8574852
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0.8560701
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0.8533074
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0.84988004
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