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Isomorphism between oscillator and Coulomb-like theories in one and two dimensions

✍ Scribed by Grigorian, G. B.; Grigorian, R. P.; Tyutin, I. V.

Book ID
121616037
Publisher
SP MAIK Nauka/Interperiodica
Year
2013
Tongue
English
Weight
828 KB
Volume
176
Category
Article
ISSN
0040-5779

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We exhibit that the radial eigenfunctions of a 2D-harmonic oscillator 2DHO may be Ε½ . 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 relatio