Skip to main content
SpringerLink
Log in

Quantum mechanics of the early universe

  • Elementary Particle Physics And Field Theory
  • Published:
Russian Physics Journal Aims and scope

Abstract

Quantum tunneling of the universe from “nothing” into a de Sitter vacuum, interpreted as the birth of the universe from a vacuum, is considered. Vilenkin's results are generalized by allowing for strings, domain walls, and various kinds of compressed matter that contribute to the potential through which the tunneling occurs. The energy spectrum of the universe in the quantum pre-de Sitter stage, the coefficient of passage through the potential barrier, which describes the probability of birth of the universe, and the conditions of applicability of the quasi-classical approximation in the calculation of these quantities are found.

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. É. B. Gliner, Zh. Eksp. Teor. Lit.,49, 542 (1965); Dokl. Akad. Nauk,192, 771 (1970); É. B. Gliner and I. G. Dymnikova, Pis'ma Astron. Zh.,1, 7 (1975); L. E. Gurevich, Astrophys. Space Sci.,38, 67 (1975).

    Google Scholar 

  2. A. D. Dolgov, Ya. B. Zel'dovich, and M. V. Sazhin, Cosmology of the Early Universe [in Russian], Izd. Mosk. Gos. Univ., Moscow (1988).

    Google Scholar 

  3. A. D. Linde, in: Particle Physics and Inflationary Cosmology, H. Feshbach (ed.), Harwood Academic, New York (1990).

    Google Scholar 

  4. P. I. Fomin, Dokl. Akad. Nauk Ukr. SSR,9A, 931 (1975).

    Google Scholar 

  5. E. P. Tryon, Nature (London),246, 396 (1973).

    Google Scholar 

  6. D. Atkatz and H. Pagels, Phys. Rev.,25D, 2065 (1982).

    Google Scholar 

  7. A. Vilenkin, Phys. Rev.,30D, 509 (1984); Nucl. Phys.,252B, 141 (1985).

    Google Scholar 

  8. J. B. Hartle and S. W. Hawking, Phys. Rev.,28D, 2960 (1983).

    Google Scholar 

  9. M. Beciu, Stud. Cercet. Fiz.,35, 17 (1985).

    Google Scholar 

  10. M. L. Fil'chenkov, in: Multidimensional Gravity and Cosmology. Abstracts of International School-Seminar at Yaroslavl [in Russian], Russian Gravitational Association, Moscow (1994), p. 64.

    Google Scholar 

  11. L. D. Landau and E. M. Lifshitz, Quantum Mechanics. Nonrelativistic Theory [in Russian], Gos. Izd. Fiz.-Mat. Lit., Moscow (1963) [translation of 3rd ed., Pergamon Press, New York (1977)].

    Google Scholar 

Download references

Authors
  1. M. L. Fil'chenkov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Brainstorm MNTP, Moscow. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 4, pp. 78–82, April, 1995.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fil'chenkov, M.L. Quantum mechanics of the early universe. Russ Phys J 38, 395–400 (1995). https://doi.org/10.1007/BF00560104

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00560104

Keywords

Search

Navigation