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Oscillators in one and two dimensions and ladder operators for the Morse and Coulomb problems

✍ Scribed by H. N. Núñez-Yépez; J. L. López-Bonilla; D. Navarrete; A. L. Salas-Brito

Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
147 KB
Volume
62
Category
Article
ISSN
0020-7608

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✦ Synopsis

We exhibit that the radial eigenfunctions of a 2D-harmonic oscillator 2DHO may be Ž . regarded as 1D-harmonic oscillator 1DHO matrix elements. From this simple fact and using as a starting point the ladder operators a " for 1DHO, we obtain ladder operators for 2DHO. Furthermore, by using the relationship between the Coulomb and Morse problems with a 2DHO, we are able to obtain the ladder operators for the former problems without explicitly recurring to the factorization method. Some uses of the technique presented are suggested.

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