메뉴 건너뛰기




Volumn 62, Issue 4, 2000, Pages 1-20

Group theoretical quantization of a phase space S1XR+ and the mass spectrum of Schwarzschild black holes in D space-time dimensions

Author keywords

[No Author keywords available]

Indexed keywords


EID: 33750687940     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.62.044026     Document Type: Article
Times cited : (27)

References (70)
  • 2
    • 33744709414 scopus 로고    scopus 로고
    • A. Ashtekar and K. Krasnov, gr-qc/9804039; C. Rovelli, gr-qc/9710008; gr-qc/9803024
    • A. Ashtekar and K. Krasnov, gr-qc/9804039; C. Rovelli, gr-qc/9710008; gr-qc/9803024.
  • 4
    • 33744706042 scopus 로고    scopus 로고
    • J. D. Bekenstein, gr-qc/9808028
    • J. D. Bekenstein, gr-qc/9808028.
  • 6
    • 33744580382 scopus 로고    scopus 로고
    • Schwarzschild Black Hole Quantum Statistics from Z(2) Orientation Degrees of Freedom and its Relation to Ising Droplet Nucleation
    • gr-qc/9906104, (Leipzig) (to be published)
    • H. A. Kastrup, "Schwarzschild Black Hole Quantum Statistics from Z(2) Orientation Degrees of Freedom and its Relation to Ising Droplet Nucleation," gr-qc/9906104, Ann. Phys. (Leipzig) (to be published) .
    • Ann. Phys.
    • Kastrup, H.A.1
  • 8
    • 13644272552 scopus 로고
    • T. Thiemann and H. A. Kastrup, Nucl. Phys. B399, 211 (1993); B425, 665 (1994); in Geometry of Constrained Dynamical Systems, edited by J. M. Charap (Cambridge University Press, Cambridge, England, 1995), p. 158; this last paper contains a brief comparison with Kuchař's article [9].
    • (1993) Nucl. Phys. , vol.B399 , pp. 211
    • Thiemann, T.1    Kastrup, H.A.2
  • 9
    • 0001610162 scopus 로고
    • T. Thiemann and H. A. Kastrup, Nucl. Phys. B399, 211 (1993); B425, 665 (1994); in Geometry of Constrained Dynamical Systems, edited by J. M. Charap (Cambridge University Press, Cambridge, England, 1995), p. 158; this last paper contains a brief comparison with Kuchař's article [9].
    • (1994) Nucl. Phys. , vol.B425 , pp. 665
  • 10
    • 13644272552 scopus 로고
    • Cambridge University Press, Cambridge, England
    • T. Thiemann and H. A. Kastrup, Nucl. Phys. B399, 211 (1993); B425, 665 (1994); in Geometry of Constrained Dynamical Systems, edited by J. M. Charap (Cambridge University Press, Cambridge, England, 1995), p. 158; this last paper contains a brief comparison with Kuchař's article [9].
    • (1995) Geometry of Constrained Dynamical Systems , pp. 158
    • Charap, J.M.1
  • 15
    • 33744607200 scopus 로고    scopus 로고
    • H. A. Kastrup, hep-th/9803180
    • H. A. Kastrup, hep-th/9803180.
  • 18
    • 0000422552 scopus 로고
    • (Les Houches Session XL), edited by B. S. Dewitt and R. Stora North-Holland, Amsterdam
    • C. J. Isham, in Relativity, Groups and Topology II (Les Houches Session XL), edited by B. S. Dewitt and R. Stora (North-Holland, Amsterdam, 1984), p. 1059.
    • (1984) Relativity, Groups and Topology II , pp. 1059
    • Isham, C.J.1
  • 21
    • 0003448985 scopus 로고
    • Quantenmechanik von Atomen und Molekülen
    • 2. Aufl., Springer-Verlag, Wien, Chaps. 2 and 3
    • W. Thirring, Quantenmechanik von Atomen und Molekülen, 2. Aufl., Lehrbuch der Mathematischen Physik 3 (Springer-Verlag, Wien, 1994), Chaps. 2 and 3; English translation of the 1st edition: Quantum Mechanics of Atoms and Molecules, A Course in Mathematical Physics 3 (Springer-Verlag, New York, 1990).
    • (1994) Lehrbuch der Mathematischen Physik 3
    • Thirring, W.1
  • 22
    • 33744561396 scopus 로고
    • English translation of the 1st edition: Springer-Verlag, New York
    • W. Thirring, Quantenmechanik von Atomen und Molekülen, 2. Aufl., Lehrbuch der Mathematischen Physik 3 (Springer-Verlag, Wien, 1994), Chaps. 2 and 3; English translation of the 1st edition: Quantum Mechanics of Atoms and Molecules, A Course in Mathematical Physics 3 (Springer-Verlag, New York, 1990).
    • (1990) Quantum Mechanics of Atoms and Molecules, A Course in Mathematical Physics 3
  • 27
    • 0003334173 scopus 로고
    • The Theory of Subnormal Operators
    • American Mathematical Society, Providence, RI
    • J. B. Conway, The Theory of Subnormal Operators, Mathematical Surveys and Monographs No. 36 (American Mathematical Society, Providence, RI, 1991).
    • (1991) Mathematical Surveys and Monographs No. 36
    • Conway, J.B.1
  • 29
    • 84980077803 scopus 로고
    • V. Bargmann, Commun. Pure Appl. Math. 14, 187 (1961); 20, 1 (1967).
    • (1967) Commun. Pure Appl. Math. , vol.20 , pp. 1
  • 33
    • 33744620488 scopus 로고    scopus 로고
    • See Ref. [23], Chap. 19
    • See Ref. [23], Chap. 19.
  • 34
    • 33750728569 scopus 로고
    • McGraw-Hill, New York
    • Table of Integral Transforms I, edited by A. Erdélyi et al. (McGraw-Hill, New York, 1954), p. 119, No. (10) and Ref. [31], p. 189.
    • (1954) Table of Integral Transforms I , Issue.10 , pp. 119
    • Erdélyi, A.1
  • 35
    • 33744589290 scopus 로고    scopus 로고
    • and Ref. [31]
    • Table of Integral Transforms I, edited by A. Erdélyi et al. (McGraw-Hill, New York, 1954), p. 119, No. (10) and Ref. [31], p. 189.
    • Table of Integral Transforms I , pp. 189
  • 39
    • 33744650271 scopus 로고    scopus 로고
    • Ref. [33], Chap. 1
    • Ref. [33], Chap. 1.
  • 40
    • 33744627091 scopus 로고
    • American Mathematical Society Colloquium Publications No. 23 American Mathematical Society, New York
    • G. Szego, Orthogonal Polynomials, American Mathematical Society Colloquium Publications No. 23 (American Mathematical Society, New York, 1959).
    • (1959) Orthogonal Polynomials
    • Szego, G.1
  • 44
    • 33750732486 scopus 로고    scopus 로고
    • The Area Operator in the Spherically Symmetric Sector of Loop Quantum Gravity
    • hep-th/9907043, (to be published)
    • M. Bojowald and H. A. Kastrup, "The Area Operator in the Spherically Symmetric Sector of Loop Quantum Gravity," hep-th/9907043, Class. Quantum. Grav. (to be published).
    • Class. Quantum. Grav.
    • Bojowald, M.1    Kastrup, H.A.2
  • 46
    • 84960557830 scopus 로고
    • G. H. Hardy and S. Ramanujan, Proc. London Math. Soc. 16, 112 (1917); 17, 75 (1918).
    • (1918) Proc. London Math. Soc. , vol.17 , pp. 75
  • 48
    • 33645927662 scopus 로고    scopus 로고
    • M. Spradlin and A. Strominger, J. High Energy Phys. 11, 021 (1999); see also P. Schaller and T. Strobl, Phys. Lett. B 337, 266 (1994), and references therein.
    • (1999) J. High Energy Phys. , vol.11 , pp. 021
    • Spradlin, M.1    Strominger, A.2
  • 49
    • 0001497490 scopus 로고
    • M. Spradlin and A. Strominger, J. High Energy Phys. 11, 021 (1999); see also P. Schaller and T. Strobl, Phys. Lett. B 337, 266 (1994), and references therein.
    • (1994) Phys. Lett. B , vol.337 , pp. 266
    • Schaller, P.1    Strobl, T.2
  • 51
    • 33744602524 scopus 로고    scopus 로고
    • M. Bañados, hep-th/9901148
    • M. Bañados, hep-th/9901148.
  • 53
    • 33744587822 scopus 로고
    • Nonperturbative Quantum Field Theory, edited by G. 't Hooft, A. Jaffe, G. Mack, P. K. Mitter, and R. Stora, Cargèse July, Plenum Press, New York
    • G. Mack in Nonperturbative Quantum Field Theory, edited by G. 't Hooft, A. Jaffe, G. Mack, P. K. Mitter, and R. Stora, Proceedings of a NATO Advanced Study Institute, Cargèse July, 1987 (Plenum Press, New York, 1988), p. 353.
    • (1987) Proceedings of a NATO Advanced Study Institute , pp. 353
    • Mack, G.1
  • 68
    • 0003085097 scopus 로고
    • P. Schaller and T. Strobl, Mod. Phys. Lett. A 9, 3129 (1994); in Low-Dimensional Models in Statistical Physics and Quantum Field Theory, edited by H. Grosse and L. Pittner, Lecture Notes in Physics No. 469 (Springer Verlag, Berlin, 1996), p. 321.
    • (1994) Mod. Phys. Lett. A , vol.9 , pp. 3129
    • Schaller, P.1    Strobl, T.2
  • 69
    • 9744275026 scopus 로고    scopus 로고
    • Low-Dimensional Models in Statistical Physics and Quantum Field Theory
    • Springer Verlag, Berlin
    • P. Schaller and T. Strobl, Mod. Phys. Lett. A 9, 3129 (1994); in Low-Dimensional Models in Statistical Physics and Quantum Field Theory, edited by H. Grosse and L. Pittner, Lecture Notes in Physics No. 469 (Springer Verlag, Berlin, 1996), p. 321.
    • (1996) Lecture Notes in Physics No. 469 , pp. 321
    • Grosse, H.1    Pittner, L.2
  • 70
    • 33744579505 scopus 로고    scopus 로고
    • Habilitation thesis, RWTH Aachen, June
    • T. Strobl, Habilitation thesis, RWTH Aachen, June, 1999.
    • (1999)
    • Strobl, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.