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Path integral treatment of a noncentral potential

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Czechoslovak Journal of Physics Aims and scope

Abstract

In the path integral approach, the Green's function relative to a three-dimensional potential is obtained, in the parabolic rotational system. The energy spectrum and the wave functions of the bound and scattering states are deduced. Particular cases of this potential are also considered.

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References

  1. H. Hartmann: Theor. Chim. Acta. 24 (1972) 201.

    Google Scholar 

  2. Y. Aharonov and D. Bohm: Phys. Rev. 115 (1959) 485.

    Google Scholar 

  3. L. Chetouani and T.F. Hammann: Nuovo Cimento B 98 (1987) 1. C. Grosche: J. Phys. A: Math. Gen. 24 (1991) 1771; Fortschr. Phys. 40 (1992) 695.

    Google Scholar 

  4. L. Chetouani and T.F. Hammann: Phys. Rev. A 34 (1986) 4737.

    Google Scholar 

  5. H. Boschi-Fillo and A.N. Vaidya: Phys. Lett. A 145 (1990) 69; 149 (1990) 336.

    Google Scholar 

  6. C. Grosche: Phys. Lett. A 165 (1992) 185.

    Google Scholar 

  7. H. Kleinert: Path Integrals in Quantum Mechanics, Statistics and Polymer Physics, World Scientific, Singapore, 1990.

    Google Scholar 

  8. R.P. Feynman and H.R. Hibbs: Quantum Mechanics and Path Integrals, McGraw-Hill, New York (N.Y.), 1965.

    Google Scholar 

  9. D. McLaughlin and L.S. Schulman: J. Math. Phys. (N.Y.) 12 (1971) 2520.

    Google Scholar 

  10. I.S. Gradshteyn and I.M. Ryzhik: Table of integrals, summs, series, and products, Academic Press, New York, 1980, p. 1038, eq. (8. 976. 1).

    Google Scholar 

  11. Ref. 10, p. 884, eq. (7. 694).

    Google Scholar 

  12. Ref. 10, p. 952, eq. (8. 406. 1).

    Google Scholar 

  13. Ref. 10, p. 1059, eq. (9. 220. 2).

    Google Scholar 

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Bentag, B., Chetouani, L. Path integral treatment of a noncentral potential. Czechoslovak Journal of Physics 50, 593–606 (2000). https://doi.org/10.1023/A:1022802200527

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