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Transformation matrix for the isotropic harmonic oscillator eigenvectors in {n 1 n 2 n 3} and {nlm} representations

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Cechoslovackij fiziceskij zurnal B Aims and scope

Abstract

In this paper the properties of the elements (n 1 n 2 n 3¦nlm〉 of the transformation matrix connecting the eigenvectors ¦n 1 n 2 n 3) and ¦nlm) of the isotropic harmonic oscillator are investigated. An explicit expression and recursion relations for these elements are derived.

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References

  1. Heisenberg W.: Theorie des Atomkernes, Göttingen 1951, § 11.

  2. Yamazaki K.: Progr. Theor. Phys.7 (1952), 449.

    Google Scholar 

  3. Gradštejn I. S., Ryžik I. M.: Tablicy integralov, sum, rjadov i proizvedenij, 4th edition, Fizmatgiz, Moscow 1962.

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  4. Edmonds A. R.: Angular Momentum in Quantum Mechanics, Princeton University Press, Princeton 1957.

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Authors and Affiliations

  1. Faculty of Technical and Nuclear Physics, Czech Technical University, Prague, Břehová 7, Praha 1

    Z. Pluhař & J. Tolar

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  1. Z. Pluhař
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  2. J. Tolar
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Pluhař, Z., Tolar, J. Transformation matrix for the isotropic harmonic oscillator eigenvectors in {n 1 n 2 n 3} and {nlm} representations. Czech J Phys 14, 287–293 (1964). https://doi.org/10.1007/BF01689136

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  • DOI: https://doi.org/10.1007/BF01689136

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