Geodesic
Green's function of a multidimensional isotropic harmonic oscillator
Teoretičeskaâ i matematičeskaâ fizika, Tome 12 (1972) no. 2, pp. 223-226

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A closed representation is obtained for the Green's function of the Schrödinger equation for an $N$-dimensional isotropic harmonic oscillator. 
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     author = {V. L. Bakhrakh and S. I. Vetchinkin and S. V. Khristenko},
     title = {Green's function of a multidimensional isotropic harmonic oscillator},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     publisher = {mathdoc},
     volume = {12},
     number = {2},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1972_12_2_a7/}
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V. L. Bakhrakh; S. I. Vetchinkin; S. V. Khristenko. Green's function of a multidimensional isotropic harmonic oscillator. Teoretičeskaâ i matematičeskaâ fizika, Tome 12 (1972) no. 2, pp. 223-226. http://geodesic.mathdoc.fr/item/TMF_1972_12_2_a7/