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Il Nuovo Cimento B (1971-1996)

, Volume 52, Issue 1, pp 15–28 | Cite as

Quantum interference and the quantum potential

  • C. Philippidis
  • C. Dewdney
  • B. J. Hiley
Article

Summary

We re-examine the notion of the quantum potential introduced by the Broglie and Bohm and calculate its explicit form in the case of the two-slit interference experiment. We also calculate the ensemble of particle trajectories through the two slits. The results show clearly how the quantum potential produces the bunching of trajectories that is required to obtain the usual fringe intensity pattern. Hence we are able to account for the interference fringes while retaining the notion of a well-defined particle trajectory. The wider implications of the quantum potential particularly in regard to the quantum interconnectedness are discussed.

Квантовая интерференция и квантовый потенциал

Резюме

Мы заново исследуем понятие квантового потенциала, введенного де Бройлем и Бомом, и вычисляем его явный вид в случае интерференционного эксперимента на двух щелях. Мы также вычисляем совокупность траекторий частиц, прошедших через две щели. Полученные результаты показывают, что квантовый потенциал приводит к группированию траекторий, что требуется для получения обычных интерференционных полос интенсивности. Следовательно, мы можем объяснитб образование интерференционных полос, сохраняя понятие определенных траекторий частиц. Обсуждаются следствия квантового потенциала относительно квантовой взаимосвязанности.

Riassunto

Si riesamina la nozione di potenziale quantico introdotta da de Broglie e Bohm e si calcola la sua forma esplicita nel caso di un esperimento d'interferenza a due passaggi. Si calcola anche l'insieme di traiettorie delle particelle attraverso i due passaggi. I risultati mostrano chiaramente come il potenziale quantico produce l'agglomerato di traiettorie che è richiesto per ottenere l'usuale comportamento di intensità di frangia. Quindi si è in grado di spiegare le frange di interferenza conservando la nozione di una ben definita traiettoria della particella. Si discutono le più ampie implicazioni del potenziale quantico particolarmente rispetto all'interazione quantica.

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Copyright information

© Società Italiana di Fisica 1979

Authors and Affiliations

  • C. Philippidis
    • 1
  • C. Dewdney
    • 1
  • B. J. Hiley
    • 1
  1. 1.Department of Physics, Birkbeck CollegeUniversity of LondonLondon

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