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Oscillators in one and two dimensions and ladder operators for the Morse and Coulomb problems (1997)

Núñez-Yépez, H. N. ; López-Bonilla, J. L. ; Navarrete, D. ; [et al.]

New York, NY : Wiley-Blackwell

International Journal of Quantum Chemistry 62 (1997), S. 177-183

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ISSN: 0020-7608

Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Chemistry and Pharmacology

Notes: We exhibit that the radial eigenfunctions of a 2D-harmonic oscillator (2DHO) may be regarded as 1D-harmonic oscillator (1DHO) matrix elements. From this simple fact and using as a starting point the ladder operators â± 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. © 1997 John Wiley & Sons, Inc.

Type of Medium: Electronic Resource

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