## Abstract

We construct a differential calculus on the N-dimensional non-commutative Euclidean space, i.e., the space on which the quantum group SO_{q}(N) is acting. The differential calculus is required to be manifestly covariant under SO_{q}(N) transformations. Using this calculus, we consider the Schrödinger equation corresponding to the harmonic oscillator in the limit of q→1. The solution of it is given by q-deformed functions.

Original language | English |
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Pages (from-to) | 439-446 |

Number of pages | 8 |

Journal | Zeitschrift für Physik C Particles and Fields |

Volume | 49 |

Issue number | 3 |

DOIs | |

Publication status | Published - 1991 Sep 1 |

Externally published | Yes |

## ASJC Scopus subject areas

- Physics and Astronomy (miscellaneous)

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