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Campoamor-Stursberg, Rutwig
(2020)
*Trace formulas for the Casimir operators of the unextended Schrödinger algebra S(N).*
Journal of Mathematical Physics, 61
.
ISSN 0022-2488

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Official URL: https://doi.org/10.1063/1.5141091

## Abstract

Using the contraction of the centrally extended Schrödinger algebrâS(N) onto the Lie algebra S(N) ⊕ R in combination with the Newton identities associated with the characteristic polynomial of a matrix, we derive explicit expressions for the Casimir operators of the unextended Schrödinger algebra S(N) in terms of trace operators. It is shown that these operators can be defined independently of the contraction from which a direct method for the computation of the S(N)-invariants is deduced.

Item Type: | Article |
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Uncontrolled Keywords: | Special relativity; Schrödinger equations; Matrix calculus; Operator theory; Representation theory; Lie algebras; Group theory |

Subjects: | Sciences > Physics > Mathematical physics |

ID Code: | 74950 |

Deposited On: | 05 Oct 2022 10:22 |

Last Modified: | 02 Mar 2023 09:02 |

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