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A New Way of Solving the Wheeler–DeWitt Equation as Applied to Point Sources

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Abstract

A new way of solving the Wheeler–DeWitt equation is proposed which is based on quantization over free parameters of metrics satisfying the Einstein equations. This technique is applied to two point sources described in the classical case by the Tangherlini metric (in an n-dimensional space) and the Reissner–Nordström metric (in the case of the presence of a charge). The results obtained clarify the sense of the Wheeler hypothesis about statistical weights of small dimensionalities and make possible a new approach to the problem of variation of fundamental constants.

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REFERENCES

  1. B. S. DeWitt, Phys. Rev., 160, 1113-1148 (1967).

    Google Scholar 

  2. M. L. Fil'chenkov, Phys. Lett. B, 441, 34-39 (1998).

    Google Scholar 

  3. K. V. Kuchař, Phys. Rev. D, 50, 3961-3981 (1994).

    Google Scholar 

  4. A. O. Barvinsky, A. Yu. Kamenshchik, and V. N. Ponomarev, Fundamental Problems in the Interpretation of Quantum Mechanics. The Modern Approach [in Russian], Moscow State Pedagogical Inst., Moscow (1988).

    Google Scholar 

  5. M. L. Fil'chenkov, in: Proc. 8th Russian Gravitational Conf., Pushchino, Moscow Region (1993), p. 200.

    Google Scholar 

  6. U. Gerlach, Phys. Rev., 117, 1929-1941 (1969).

    Google Scholar 

  7. L. D. Landau and E. M. Lifshits, Quantum Mechanics. The Nonrelativistic Theory [in Russian], GIFML (1963).

  8. J. A. Wheeler, Albert Einstein: His Strength and His Struggle, Leeds Univ. Press, Leeds (1980).

  9. C. Misner, K. Thorne and J. Wheeler, Gravitation, W. H. Freeman, San Francisco (1973).

    Google Scholar 

  10. I. L. Rozental and M. L. Fil'chenkov, Izv. Vyssh. Uchebn. Zaved., Fiz., 4, 102-104 (1981).

    Google Scholar 

  11. F. R. Tangherlini, Nuovo Cim., 27, 636-651 (1963).

    Google Scholar 

  12. S. Flügge, Practical Quantum Mechanics, Spinger-Verlag, Berlin–NY (1971).

    Google Scholar 

  13. H. Reissner, Ann. Phys., B50, 106 (1916).

    Google Scholar 

  14. G. Nordström, Proc. Kon. Ned. Acad. Wet., B20, B1. 1238 (1918).

    Google Scholar 

  15. M. L. Fil'chenkov, Izv. Vyssh. Uchebn. Zaved., Fiz., 7, 75-82 (1998).

    Google Scholar 

  16. E. Kamke, Differentialgleichungen Lösungsmethoden und Lösungen: I. Gewöhnliche Differentialgleichungen, Leipzig (1959).

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  1. A. A. Fridman Laboratory of Theoretical Physics, Russia

    M. L. Fil'chenkov

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  1. M. L. Fil'chenkov
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Fil'chenkov, M.L. A New Way of Solving the Wheeler–DeWitt Equation as Applied to Point Sources. Russian Physics Journal 43, 921–925 (2000). https://doi.org/10.1023/A:1011374807329

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