The simplified Wheeler-Dewitt equation : the Cauchy problem and some spectral properties

João-Paulo Dias; Mário Figueira

Annales de l'I.H.P. Physique théorique (1991)

  • Volume: 54, Issue: 1, page 17-26
  • ISSN: 0246-0211

How to cite

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Dias, João-Paulo, and Figueira, Mário. "The simplified Wheeler-Dewitt equation : the Cauchy problem and some spectral properties." Annales de l'I.H.P. Physique théorique 54.1 (1991): 17-26. <http://eudml.org/doc/76518>.

@article{Dias1991,
author = {Dias, João-Paulo, Figueira, Mário},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {minisuperspace model for the wave function; closed universe; evolution equation; Cauchy problem},
language = {eng},
number = {1},
pages = {17-26},
publisher = {Gauthier-Villars},
title = {The simplified Wheeler-Dewitt equation : the Cauchy problem and some spectral properties},
url = {http://eudml.org/doc/76518},
volume = {54},
year = {1991},
}

TY - JOUR
AU - Dias, João-Paulo
AU - Figueira, Mário
TI - The simplified Wheeler-Dewitt equation : the Cauchy problem and some spectral properties
JO - Annales de l'I.H.P. Physique théorique
PY - 1991
PB - Gauthier-Villars
VL - 54
IS - 1
SP - 17
EP - 26
LA - eng
KW - minisuperspace model for the wave function; closed universe; evolution equation; Cauchy problem
UR - http://eudml.org/doc/76518
ER -

References

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  1. [1] G.W. Gibbons and L.P. Grishchuk, What is a Typical Wave Function for the Universe?, Nucl. Phys. B, Vol. 313, 1989, pp. 736-748. 
  2. [2] P. Grisvard, Espaces intermédiaires entre espaces de Sobolev avec poids, Ann. Scuola Norm. Sup. Pisa, Vol. 17, 1963, pp. 255-296. Zbl0117.08602MR160104
  3. [3] G.H. Hardy, J.E. Littlewood and G. Pólya, Inequalities, Cambridge Univ. Press, 1967. 
  4. [4] J.B. Hartle and S.W. Hawking, Wave Function of the Universe, Phy. Rev. D, Vol. 28, 1983, pp. 2960-2975. MR726732
  5. [5] T. Kato, Perturbation Theory for Linear Operators, Springer, 1980. Zbl0435.47001MR407617

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