Skip to main content
SpringerLink
Log in

Nonexistence of the Aharonov-Bohm effect

Об отсутствии эффекта Ааронова-Бома

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

Summary

In this paper the Aharonov-Bohm effect is investigated and it is shown that it has a purely mathematical origin. All the physical consequences of quantum mechanics turn out to be dependent on the field strengths and not on the potentials.

Riassunto

In questo lavoro si studia l’effetto Aharonov-Bohm e si dimostra che esso ha un’origine puramente matematica. Tutte le conseguenze fisiche della meccanica quantistica dipendono solo dai campi elettromagnetici e non dai potenziali.

Резюме

В этой статье исследуется эффект Ааронава-Бома. Показывается, что этот эффект имеет чисто математическое происхождение. Оказывается, что все физические следствия квантовой механики зависят от интенсивностей полей, а не от потенциалов.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Cf.J. von Neumann:Math. Ann.,104, 570 (1931);P. A. M. Dirac:The Principles of Quantum Mechanics, Fourth Edition (Oxford, 1958), p. 92.

    Article  MathSciNet  Google Scholar 

  2. G. W. Mackey:The Mathematical Foundations of Quantum Mechanics, A Lecture-Note Volume (New York, N. Y., etc., 1963), p. 103.)

  3. W. Ehrenberg andR. E. Siday:Proc. Phys. Soc.,62 B, 8 (1949);Y. Aharonov andD. Bohm:Phys. Rev.,115, 485 (1959);123, 1511 (1961);125, 2192 (1962);W. H. Furry andN. F. Ramsey:Phys. Rev.,118, 623 (1960);M. Peshkin, I. Talmi andL. J. Tassie:Ann. of Phys.,12, 426 (1961);E. Merzbacher:Amer. Journ. Phys.,30, 237 (1962);R. P. Feynman, R. B. Leighton andM. Sands:The Feynman Lectures on Physics (Reading, Mass., 1964), sect. II-15-12;T. T. Wu andC. N. Yang:Phys. Rev. D,12, 3845 (1975);C. Martin:Lett. Math. Phys.,1, 155 (1976);W. Drechsler andM. E. Mayer:Fiber Bundle Techniques in Gauge Theories, Lecture Notes in Physics (Berlin, etc., 1977) part two, p. 14; and many other papers.

    Article  ADS  Google Scholar 

  4. F. G. Werner andD. R. Brill:Phys. Rev. Lett.,4, 349 (1960);R. G Chambers:Phys. Rev. Lett.,5, 3 (1960);H. Boersch, H. Hamisch, K. Grohmann andD. Wohlleben:Zeits. Phys. 165, 79 (1961);169, 263 (1962);H. A. Fowler, L. Marton, J. Arol Simpson andJ. A. Suddeth:Journ. Appl. Phys.,32, 1153 (1961);W. Bayh:Zeits. Phys. 169, 492 (1962);B. Lischke:Phys. Rev. Lett.,22, 1366 (1969);G. Matteucci, G. F. Missiroli andG. Pozzi:Giorn. di Fis.,18, 264 (1977); and many other papers.

    Article  ADS  Google Scholar 

  5. E. Schrödinger:Ann. der Phys.,79, 489 (1926).

    Article  MATH  Google Scholar 

  6. E. Nelson:Dynamical Theories of Brownian Motion, Mathematical Notes (Princeton, N. J., 1967), p. 130. Cf. alsoG. W. Mackey:The Mathematical Foundations of Quantum Mechanics, A Lecture-Note Volume (New York, N. Y., etc., 1963), p. 96.

Download references

Author information

Authors and Affiliations

  1. Istituto di Fisica Teorica dell’Università, Pavia, Italia

    P. Bocchieri

  2. Istituto Nazionale di Fisica Nucleare, Sezione di Pavia, Italia

    P. Bocchieri

  3. Istituto di Scienze Fisiche dell’Università, Milano, Italia

    A. Loinger

Authors
  1. P. Bocchieri
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. Loinger
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Перебедено редакцией.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bocchieri, P., Loinger, A. Nonexistence of the Aharonov-Bohm effect. Nuov Cim A 47, 475–482 (1978). https://doi.org/10.1007/BF02896237

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02896237

Search

Navigation