The correspondence between the states of the two-dimensional isotropic harmonic oscillator and the Morse potential

V. D. Granados; N. Aquino

doi:10.1016/S0166-1280(99)00223-7

The correspondence between the states of the two-dimensional isotropic harmonic oscillator and the Morse potential

V. D. Granados, N. Aquino

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

Considering the correspondence that exists between the states of the Morse oscillator (MO) and the radial states of the hydrogen, it is possible to evaluate matrix elements. In this work, we show the correspondence between the states of a two-dimensional isotropic harmonic oscillator and the states of a MO. We prove that the states of a well of the Me are mapped in a degenerated multiplet of the harmonic oscillator.

Original language	English
Pages (from-to)	37-41
Number of pages	5
Journal	Journal of Molecular Structure: THEOCHEM
Volume	493
Issue number	1-3
DOIs	https://doi.org/10.1016/S0166-1280(99)00223-7
State	Published - 15 Dec 1999
Externally published	Yes

Keywords

Degenerate states
Harmonic and Morse oscillators
Infeld and Hull factorization
SU(2) and SO(1,2) algebrae

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10.1016/S0166-1280(99)00223-7

Cite this

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abstract = "Considering the correspondence that exists between the states of the Morse oscillator (MO) and the radial states of the hydrogen, it is possible to evaluate matrix elements. In this work, we show the correspondence between the states of a two-dimensional isotropic harmonic oscillator and the states of a MO. We prove that the states of a well of the Me are mapped in a degenerated multiplet of the harmonic oscillator.",

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AU - Aquino, N.

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N2 - Considering the correspondence that exists between the states of the Morse oscillator (MO) and the radial states of the hydrogen, it is possible to evaluate matrix elements. In this work, we show the correspondence between the states of a two-dimensional isotropic harmonic oscillator and the states of a MO. We prove that the states of a well of the Me are mapped in a degenerated multiplet of the harmonic oscillator.

AB - Considering the correspondence that exists between the states of the Morse oscillator (MO) and the radial states of the hydrogen, it is possible to evaluate matrix elements. In this work, we show the correspondence between the states of a two-dimensional isotropic harmonic oscillator and the states of a MO. We prove that the states of a well of the Me are mapped in a degenerated multiplet of the harmonic oscillator.

KW - Degenerate states

KW - Harmonic and Morse oscillators

KW - Infeld and Hull factorization

KW - SU(2) and SO(1,2) algebrae

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ER -

The correspondence between the states of the two-dimensional isotropic harmonic oscillator and the Morse potential

Abstract

Keywords

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