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Euclidean supersymmetry and relativistic two-body systems

Эвклидова супресиммтрня и релятивистские двух-частичные системы

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Il Nuovo Cimento A (1965-1970)

Summary

The supersymmetric generalization of the Schrödinger equation proposed recently by Sokatchev and Stoyanov is enlarged to cover minimal electromagnetic interactions. The model is extended to two-particle systems, and bound-state equations for scalar and spinor particles are written down in a unified manner.

Riassunto

Si allarga la generalizzazione supersimmetrica dell’equazione di Schrödinger proposta recentemente da Sokatchev e Stoyanov per coprire le interazioni elettromagnetiche minimali. Il modello si estende a sistemi a due particelle, e si scrivono le equazioni dello stato legato per particelle scalari e spinoriali in maniera unificata.

Реэюме

Суперсимметричное обобшение уравнения Щредингера, предложенное недавно Сокачевым и Стояновым, поэволяет рассмотреть минимальные злектромагнитные вэаимодействия. Предложенная модель распространяется на двухчастичные системы. Уравнения для свяэанных состояний скалярных и спинорных частиц эаписывается единым обраэом.

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References

  1. E. Witten:Nucl. Phys. B,188, 513 (1981).

    Article  ADS  MATH  Google Scholar 

  2. P. Salomonson andJ. W. van Holten:Nucl. Phys. B,196, 509 (1982);F. Cooper andB. Freedman:Ann. Phys. (N.Y.),146, 262 (1983);M. de Crombrugghe andM. Rittenberg:Ann. Phys. (N.Y.),151, 99 (1984).

    Article  ADS  Google Scholar 

  3. V. A. Kostelecky andM. M. Nieto:Phys. Rev. Lett.,53, 2285 (1984);A. Khare andJ. Maharana:Nucl. Phys. B,244, 409 (1984);H. Ui:Prog. Theor. Phys.,72, 813 (1984);E. Gozzi:Phys. Lett. B,129, 432 (1983);M. M. Nieto, A. D. Bandrauk andD. K. Campbell:Phys. Lett. B,145, 208 (1984);J. Gambao andJ. Zanelli:Phys. Lett. B,165, 91 (1985);A. Comtet et al.:Phys. Lett. B,150, 159 (1985);E. D’Hoker andL. Vinet:Phys. Lett. B,137, 72 (1984);A. Khare: CERN preprint GH 4164/85.

    Article  ADS  Google Scholar 

  4. G. Parisi andN. Sourlos:Phys. Rev. Lett.,43, 744 (1975);S. Cecotti andL. Girardello:Ann. Phys.(N.Y.),145, 81 (1983);M. Bernstein andL. S. Brown:Phys. Rev. Lett.,52, 1533 (1984);E. Gozzi:Phys. Rev. D,33, 584 (1986);30, 1218 (1984).

    Article  ADS  Google Scholar 

  5. A. A. Andrianov, N. V. Borisov andM. V. Ioffe:Phys. Lett. A,105, 19 (1984);109, 143 (1985);L. E. Gendenshtein:JETP Lett.,39, 280 (1984);Sov. J. Nucl. Phys.,41, 166 (1985);A. Bohm:Phys. Rev. D,33, 3358 (1986);A. Ravndal:Phys. Rev. D,21, 2823 (1980);C. V. Sukumar:J. Phys. A,18, 2937, L57 (1985).

    Article  MathSciNet  ADS  Google Scholar 

  6. L. F. Urrutia andE. Hernandez:Phys. Rev. Lett.,51, 755 (1983).

    Article  ADS  Google Scholar 

  7. J. C. D’Olivo, L. F. Urrutia andF. Zertuche:Phys. Rev. D,32, 2174 (1985).

    Article  ADS  Google Scholar 

  8. R. Delbourgo andP. Jarvis:J. Phys. G,1, 751 (1975).

    ADS  Google Scholar 

  9. R. P. Zaikov:Teor. Mat. Fiz.,55, 55 (1983).

    Article  Google Scholar 

  10. R. P. Zaikov:Teor. Mat. Fiz.,54, 61 (1985).

    MathSciNet  Google Scholar 

  11. P. Van Alstine andH. W. Crater:J. Math. Phys.,23, 1697 (1982).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  12. H. W. Crater andP. Van Alstine:Ann. Phys. (N.Y.),148, 57 (1983).

    Article  ADS  Google Scholar 

  13. H. W. Crater andP. Van Alstine:Phys. Rev. Lett.,53, 1527 (1984).

    Article  ADS  Google Scholar 

  14. H. W. Crater andP. Van Alstine:Phys. Rev. D,30, 2585 (1984).

    Article  MathSciNet  ADS  Google Scholar 

  15. P. Van Alstine andH. W. Crater:Phys. Rev. D,33, 1037 (1986).

    Article  ADS  Google Scholar 

  16. P. Van Alstine andH. W. Crater:Phys. Rev. D,34, 1932 (1986).

    Article  ADS  Google Scholar 

  17. E. Sokatchev andD. I. Stoyonov:Mod. Phys. Lett. A,1, 577 (1986).

    Article  ADS  Google Scholar 

  18. J. Rembielinski andW. Tybor:Acta Phys. Pol. B,15, 611 (1984).

    MathSciNet  Google Scholar 

  19. H. Bacry andJ. Levy-Leblond:J. Math. Phys. (N.Y.),9, 1605 (1967).

    Article  MathSciNet  ADS  Google Scholar 

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Author information

Author notes

  1. Z. Zekeriya Aydin

    Present address: Department of Engineering Physics, University of Ankara, Ankara, Turkey

Authors and Affiliations

  1. International Centre for Theoretical Physics, Trieste, Italy

    Z. Zekeriya Aydin

  2. Faculty of Sciences and Arts, Physics Department, Inönü University, Malatya, Turkey

    A. Ulvi Yilmazer

Authors
  1. Z. Zekeriya Aydin
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  2. A. Ulvi Yilmazer
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To speed up publication, the authors of this paper have agreed to not receive the proofs for correction.

The work is partially supported by the Scientific and Technical Research Council of Turkey.

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Aydin, Z.Z., Yilmazer, A.U. Euclidean supersymmetry and relativistic two-body systems. Nuov Cim A 99, 85–93 (1988). https://doi.org/10.1007/BF02735214

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