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The «anomalous zitterbewegung» of composite particles

“Аномальное вибрационное движение» составных частиц

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Summary

It is shown that the range of the zitterbewegung for generalized infinite-component theories describing realistic composite particles is not the Compton wavelength, but the analog of the Bohr radius. This range is quite different from that in the case of simple Majorana-type equations where it is equal to the Compton wavelength for the ground state. The problems associated with the consistent definition of relativistic position operators for composite particles are discussed.

Riassunto

Si dimostra che l'estensione della zitterbewegung per teorie generalizzate con infinite compenenti che descrivono particelle composite realistiche non è la lunghezza d'onda di Compton, ma l'analogo del raggio di Bohr. Questa estensione è alquanto diversa che nel caso di semplici equazioni del tipo di Majorana, in cui è uguale alla lunghezza di onda di Compton per lo stato fondamentale. Si discutono i probemi associati con una coerente definizione degli operatori di posizione relativistici per particelle composite.

Резюме

Показывается, что область «вибрационного движения» для обобщенных бесконечно-компонентных теорий, описывающих релятивистские составные частицы, не равна комптоновской длине волны, а аналогична боровскому радиусу. Эта область существенно отличается от области в случае простых уравнений, типа Майорана, когда она равна комптоновской длине волны для основного состояния. Обсуждаются проблемы, связанные с согласованным определением релятивистских операторов положения для составных частиц.

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References

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Author information

Correspondence to A. O. Barut.

Additional information

Supported in part by the Air Force Office of Scientific Research, Office of Aerospace Research, U.S. Air Force under Grant No. AF-AFOSR-30-67

Traduzione a cura della Redazione.

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Barut, A.O., Kleinert, H. & Malin, S. The «anomalous zitterbewegung» of composite particles. Nuovo Cimento A (1965-1970) 58, 835–847 (1968). https://doi.org/10.1007/BF02825374

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Keywords

  • Composite Particle
  • Position Operator
  • Bohr Radius
  • Principal Quantum Number
  • Compton Wavelength