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The evolution of the harmonic oscillator in Quantum Mechanics with Spontaneous Localization

Ёволюция гармонического осцилятора в квантовой механике со спонтанной локалиэацией

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Il Nuovo Cimento B (1971-1996)

Summary

The dynamical equation for the harmonic oscillator in Quantum Mechanics with Spontaneous Localization is solved. The evolution of the harmonic oscillator in such a theory is studied. In the case of atomic or nuclear dimensions the results of ordinary quantum mechanics are recovered.

Riassunto

In questo lavoro si risolve il problema dell’oscillatore armonico in meccanica quantistica con localizzazioni spontanee. Si mostra che nel caso di dimensioni atomiche o nucleari i risultati di questa teoria riproducono fino a tempi grandissimi quelli della meccanica quantistica ordinaria.

Реэюме

Рещается динамическое уравнение для нармонического осциллятора в квантовой механике со спонтанной локалиэацией. Исследуется Эволюция гармонического осциллятора в такой теории. В случае атомных или ядерных раэмеров полученные реэультаты воспроиэводят реэультаты обычной квантовой механики.

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References

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  5. The whole process can be easily written in three dimensions. See,e.g.,L. Diósi:Europhys. Lett.,6, 285 (1988).

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Authors and Affiliations

  1. International School for Advanced Studies, Trieste, Italia

    F. Benatti

  2. Dipartimento di Fisica Teorica dell’Università, Trieste, Italia

    T. Weber

Authors
  1. F. Benatti
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  2. T. Weber
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Additional information

Work supported in part by the Istituto Nazionale di Fisica Nucleare, Sezione di Trieste.

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Benatti, F., Weber, T. The evolution of the harmonic oscillator in Quantum Mechanics with Spontaneous Localization. Il Nuovo Cimento B 103, 511–536 (1989). https://doi.org/10.1007/BF02753136

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  • DOI: https://doi.org/10.1007/BF02753136

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