### Abstract

Using dimensional scaling, we were able to obtain a systematic expansion for Regge trajectories in 1/κ, where κ = (D-1)/2 and D is the number of spatial dimensions. Bound states for the power-law potential were obtained from Regge trajectories by requiring the angular momentum quantum number to take on positive integer values. For scattering states, we calculated the positions of Regge poles for the Lennard-Jones (6,4) and (12,6) potentials. The results to first order in 1/κ were in good agreement with both semiclassical and quantum calculations. The same expansion was used to obtain the positions of Regge poles for complex optical potentials. The results for the Lennard-Jones (12,6) potential perturbed by an imaginary term were in excellent agreement with the semiclassical calculations.

Original language | English |
---|---|

Pages (from-to) | 2453-2456 |

Number of pages | 4 |

Journal | Journal of Physical Chemistry |

Volume | 97 |

Issue number | 10 |

Publication status | Published - 1 Dec 1993 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Physical and Theoretical Chemistry

### Cite this

*Journal of Physical Chemistry*,

*97*(10), 2453-2456.

**Dimensional scaling for Regge trajectories.** / Kais, S.; Beltrame, G.

Research output: Contribution to journal › Article

*Journal of Physical Chemistry*, vol. 97, no. 10, pp. 2453-2456.

}

TY - JOUR

T1 - Dimensional scaling for Regge trajectories

AU - Kais, S.

AU - Beltrame, G.

PY - 1993/12/1

Y1 - 1993/12/1

N2 - Using dimensional scaling, we were able to obtain a systematic expansion for Regge trajectories in 1/κ, where κ = (D-1)/2 and D is the number of spatial dimensions. Bound states for the power-law potential were obtained from Regge trajectories by requiring the angular momentum quantum number to take on positive integer values. For scattering states, we calculated the positions of Regge poles for the Lennard-Jones (6,4) and (12,6) potentials. The results to first order in 1/κ were in good agreement with both semiclassical and quantum calculations. The same expansion was used to obtain the positions of Regge poles for complex optical potentials. The results for the Lennard-Jones (12,6) potential perturbed by an imaginary term were in excellent agreement with the semiclassical calculations.

AB - Using dimensional scaling, we were able to obtain a systematic expansion for Regge trajectories in 1/κ, where κ = (D-1)/2 and D is the number of spatial dimensions. Bound states for the power-law potential were obtained from Regge trajectories by requiring the angular momentum quantum number to take on positive integer values. For scattering states, we calculated the positions of Regge poles for the Lennard-Jones (6,4) and (12,6) potentials. The results to first order in 1/κ were in good agreement with both semiclassical and quantum calculations. The same expansion was used to obtain the positions of Regge poles for complex optical potentials. The results for the Lennard-Jones (12,6) potential perturbed by an imaginary term were in excellent agreement with the semiclassical calculations.

UR - http://www.scopus.com/inward/record.url?scp=0011405367&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0011405367&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0011405367

VL - 97

SP - 2453

EP - 2456

JO - Journal of Physical Chemistry

JF - Journal of Physical Chemistry

SN - 0022-3654

IS - 10

ER -