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Canonical theory of relativistic interactions

Каноническая теория релятивистских вэаимодействий

  • Published:
Il Nuovo Cimento A (1965-1970)

Summary

A canonical theory of relativistic interactions is formulated on the basis of Whittaker equations and the physical inconsistency of the no-interaction theorem is shown. Three model Hamiltonians forN + 1 interacting particles are studied. Finally it is briefly considered the case of a charged particle in an external electromagnetic field.

Riassunto

Si formula sulla base delle equazioni di Whittaker una teoria canonica per le interazioni relativistiche e si mostra l’inconsistenza fisica del teorema di non interazione. Si studiano tre modelli di hamiltoniana perN + 1 particelle interagenti. Infine si considera brevemente il caso di una particella carica in un campo elettromagnetico esterno.

Реэюме

На основе уравнений Уиттекера формулируется каноническая теория релятивиствких вэаимодействий. Отмечается фиэическая противоречивость теоремы от отсутствии вэаимодействия. Исследуются три модельных Гамильтониана дляN + 1 вэаимодействуюшей частицы. В эаключение рассматривается случай эаряженной частицы во внещнем злектромагнитном поле.

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References

  1. A. F. Kracklauer:Journ. Math. Phys.,17, 693 (1976), and bibliography therein.

    Article  MathSciNet  ADS  Google Scholar 

  2. P. A. M. Dirac:Lectures on Quantum Mechanics, Belfer Graduate School of Science, Yeshiva University (New York, N. Y., 1964).

    Google Scholar 

  3. A. Hanson, T. Regge andC. Teitelboim:Constrained Hamiltonian System, Contributi del Centro Linceo Interdisciplinare di Scienze Matematiche e loro Applicazioni, No. 22 (Roma, 1976).

  4. M. Kalb andP. Van Alstine:Invariant singular actions for the relativistic two-body problem: a Hamiltonian formulation, Yale report COO-3075-146 (1976).

  5. F. Gantmacher:Lectures in Analytical Mechanics (Moscow, 1970).

  6. E. Cartan:Ann. Ecole Norm.,40, 325 (1923);41, 1 (1924);P. Havas:Rev. Mod. Phys.,36, 938 (1964).

    MathSciNet  Google Scholar 

  7. E. Sorace:Nuovo Cimento,41 B, 205 (1977).

    Article  MathSciNet  ADS  Google Scholar 

  8. E. Noether:Goettinger Nachrichten,H2, 235 (1918).

    Google Scholar 

  9. C. Møller:The Theory of Relativity (Oxford, 1952).

  10. A. Barducci andR. Giachetti:Nuovo Cimento,29 A, 256 (1975).

    Article  MathSciNet  ADS  Google Scholar 

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Author information

Authors and Affiliations

  1. Osservatorio Astrofisico di Arcetri, Arcetri (Firenze)

    R. Giachetti

  2. Istituto Nazionale di Fisica Nucleare, Sezione di Firenze, Italy

    E. Sorace

Authors
  1. R. Giachetti
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  2. E. Sorace
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Giachetti, R., Sorace, E. Canonical theory of relativistic interactions. Nuov Cim A 43, 281–293 (1978). https://doi.org/10.1007/BF02734202

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  • DOI: https://doi.org/10.1007/BF02734202

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