Il Nuovo Cimento A (1965-1970)

, Volume 107, Issue 8, pp 1411–1417 | Cite as

Comment on «the Klein-Gordon oscillator» by S. Bruce and P. Minning

Note Brevi


Different descriptions of theS=0 particle with oscillatorlike interaction are considered. The results are in conformity with the paper of S. Bruce and P. Minning (Nuovo Cimento A,106, 711 (1993)).

PACS 12.90

Miscellaneous theoretical ideas and models 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]a)
    M. Moshinsky andA. Szczepaniak:J. Phys. A,22, L817 (1989);b)M. Moshinsky, G. Loyola andC. Villegas: inProceedings of the XIII Oaxtepec Symposium on Nuclear Physic, Notas de Física,13, 187 (1990);c)M. Moshinsky et al.: inProceedings of the Rio de Janeiro International Workshop on Relativistic Aspects of Nuclear Physics, edited byT. Kodama et al. (World Scientific, Singapore, 1990), p. 271;d)M. Moshinsky, G. Loyola andA. Szczepaniak: inAnniversary Volume in Honour of J. J. Giambiagi, edited byH. Falomir et al. (World Scientific, Singapore, 1990), p. 324;e)C. Quesine andM. Moshinsky:J. Phys. A,23, 2263 (1990);f)M. Moshinsky, G. Loyola andC. Villegas:J. Math. Phys.,32, 373 (1991);g)V. I. Kukulin, G. Loyola andM. Moshinsky:Phys. Lett. A,158, 19 (1991);h)M. Moshinsky andG. Loyola:Found. Phys.,23, 197 (1993);i)A. Gonzáles, G. Loyola andM. Moshinsky:Rev. Mex. Fis.,40, 12 (1994).MathSciNetCrossRefADSGoogle Scholar
  2. [2]a)
    D. Itô, K. Mori andE. Carrieri:Nuovo Cimento A,51, 1119 (1967);b)N. V. V. J. Swamy:Phys. Rev.,180, 1225 (1969);c)P. A. Cook:Lett. Nuovo Cimento,1, 419 (1971);d)Y. M. Cho:Nuovo Cimento A,23, 550 (1974).CrossRefADSGoogle Scholar
  3. [3]a)
    M. Moreno andA. Zentella:J. Phys. A,22, L821 (1989);b)M. Moreno, R. Martínez andA. Zentella:Mod. Phys. Lett. A,5, 949 (1990);c)J. Benítez, R. P. Martínez y Romero, H. N. Núñez-Yepez andA. L. Salas-Brito:Phys. Rev. Lett.,64, 1643 (1990);65, 2085(E) (1990);d)J. Beckers andN. Debergh:Phys. Rev. D,42, 1255 (1990);e)O. Castaños, A. Frank, R. López andL. F. Urrutia:Phys. Rev. D,43, 544 (1991);f)R. Martínez y Romero, M. Moreno andA. Zentella:Phys. Rev. D,43, 2036 (1991);g)C. Quesne:Int. J. Mod. Phys. A,6, 1567 (1991);h)L. M. Jones: preprint Ill-(TH)-91-24, University of Illinois at Urbana-Champaign, 1991;i)V. V. Dixit, T. S. Santhanam andW. D. Thacker:J. Math. Phys.,33, 1114 (1992);j)A. Szczepaniak andA. G. Williams:Phys. Rev. D,47, 1175 (1993);k)J. P. Crawford:J. Math. Phys.,34, 4428 (1993);l)V. M. Villalba:Phys. Rev. A,49, 586 (1994).MathSciNetCrossRefADSGoogle Scholar
  4. [4]a)
    J. Beckers, N. Debergh andA. G. Nikitin:J. Math. Phys.,33, 3387 (1992);b)N. Debergh, J. Ndimubandi andD. Strivay:Z. Phys. C,56, 421 (1992);c)Y. Nedjadi andR. C. Barrett: preprint CNP-93-21, Surrey University, 1993.MathSciNetCrossRefADSGoogle Scholar
  5. [5]
    S. Bruce andP. Minning:Nuovo Cimento A,106, 711 (1993);107, 169(E) (1994).MathSciNetCrossRefADSGoogle Scholar
  6. [6]a)
    N. Kemmer:Proc. R. Soc. London, Ser. A,166, 127 (1938);b)E. C. G. Stueckelberg:Helv. Phys. Acta,11, 225 (1938).CrossRefADSMATHGoogle Scholar
  7. [7]a)
    A. March:Quantum Mechanics of Particles and Wave Fields (John Wiley, New York, N.Y., 1951), p. 176;b)A. Visconti:Quantum Field Theory, Vol. I (Pergamon Press, 1969), p. 183.MATHGoogle Scholar
  8. [8]
    E. M. Corsons:Introduction to Tensors, Spinors and Relativistic Wave-Equations (Hafner Pub. Co., New York, N.Y., 1953).Google Scholar
  9. [9]
    S. Sakata andM. Taketani:Proc. Phys. Math. Soc. (Japan),22, 757 (1940).Google Scholar
  10. [10]a)
    H. Feshbach andF. Villars:Rev. Mod. Phys.,30, 24 (1958);b)A. S. Davydov:Quantum Mechanics (Addison-Wesley Pub. Co., 1968), § 56, 59.MathSciNetCrossRefADSMATHGoogle Scholar
  11. [11]
    M. D. Kostin:Phys. Lett. A,125, 87 (1987).MathSciNetCrossRefADSGoogle Scholar
  12. [12]a)
    R. J. Duffin:Phys. Rev.,54, 1114 (1938);b)N. Kemmer:Proc. R. Soc. London, Ser. A,173, 91 (1939).CrossRefADSGoogle Scholar
  13. [13]
    F. Dominguez-Adame:Europhys. Lett.,13, 193 (1990);Phys. Lett. A,162, 18 (1992).CrossRefADSGoogle Scholar
  14. [14]
    F. Cooper et al.:Ann. Phys. (N.Y.),187, 1 (1988).CrossRefADSMATHGoogle Scholar

Copyright information

© Società Italiana di Fisica 1994

Authors and Affiliations

  1. 1.Escuela de FísicaUniversidad Autónoma de Zacatecas, Ciudad UniversitariaMéxico

Personalised recommendations