### Abstract

One may obtain, using operator transformations, algebraic relations between the Fourier transforms of the causal propagators of different exactly solvable potentials. These relations are derived for the shape invariant potentials. Also, potentials related by real transformation functions are shown to have the same spectrum generating algebra with Hermitian generators related by this operator transformation.

Original language | English (US) |
---|---|

Pages (from-to) | 3927-3936 |

Number of pages | 10 |

Journal | Journal of Physics A: Mathematical and General |

Volume | 30 |

Issue number | 11 |

DOIs | |

State | Published - Jun 7 1997 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

*Journal of Physics A: Mathematical and General*,

*30*(11), 3927-3936. https://doi.org/10.1088/0305-4470/30/11/020

**Operator transformations between exactly solvable potentials and their Lie group generators.** / Bordner, Andrew J.

Research output: Contribution to journal › Article

*Journal of Physics A: Mathematical and General*, vol. 30, no. 11, pp. 3927-3936. https://doi.org/10.1088/0305-4470/30/11/020

}

TY - JOUR

T1 - Operator transformations between exactly solvable potentials and their Lie group generators

AU - Bordner, Andrew J.

PY - 1997/6/7

Y1 - 1997/6/7

N2 - One may obtain, using operator transformations, algebraic relations between the Fourier transforms of the causal propagators of different exactly solvable potentials. These relations are derived for the shape invariant potentials. Also, potentials related by real transformation functions are shown to have the same spectrum generating algebra with Hermitian generators related by this operator transformation.

AB - One may obtain, using operator transformations, algebraic relations between the Fourier transforms of the causal propagators of different exactly solvable potentials. These relations are derived for the shape invariant potentials. Also, potentials related by real transformation functions are shown to have the same spectrum generating algebra with Hermitian generators related by this operator transformation.

UR - http://www.scopus.com/inward/record.url?scp=0031557974&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031557974&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/30/11/020

DO - 10.1088/0305-4470/30/11/020

M3 - Article

AN - SCOPUS:0031557974

VL - 30

SP - 3927

EP - 3936

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 11

ER -