메뉴 건너뛰기




Volumn 17, Issue 6, 2000, Pages 1509-1526

Loop quantum cosmology: II. Volume operators

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0034341298     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/17/6/313     Document Type: Article
Times cited : (102)

References (25)
  • 1
    • 0034341301 scopus 로고    scopus 로고
    • Loop quantum cosmology: I. Kinematics
    • Bojowald M 2000 Loop quantum cosmology: I. Kinematics Class. Quantum Grav. 17 1489-1508
    • (2000) Class. Quantum Grav. , vol.17 , pp. 1489-1508
    • Bojowald, M.1
  • 3
    • 0001449230 scopus 로고
    • Dynamics of pressure-free matter in general relativity
    • Ellis G F R 1967 Dynamics of pressure-free matter in general relativity J. Math. Phys. 8 1171-94
    • (1967) J. Math. Phys. , vol.8 , pp. 1171-1194
    • Ellis, G.F.R.1
  • 5
    • 2742537895 scopus 로고    scopus 로고
    • Geometry eigenvalues and scalar product from recoupling theory in loop quantum gravity
    • De Pietri R and Rovelli C 1996 Geometry eigenvalues and scalar product from recoupling theory in loop quantum gravity Phys. Rev. D 54 2664-90 Thiemann T 1998 Closed formula for the matrix elements of the volume operator in canonical quantum gravity J. Math. Phys. 39 3347-71
    • (1996) Phys. Rev. D , vol.54 , pp. 2664-2690
    • De Pietri, R.1    Rovelli, C.2
  • 6
    • 0032379628 scopus 로고    scopus 로고
    • Closed formula for the matrix elements of the volume operator in canonical quantum gravity
    • De Pietri R and Rovelli C 1996 Geometry eigenvalues and scalar product from recoupling theory in loop quantum gravity Phys. Rev. D 54 2664-90 Thiemann T 1998 Closed formula for the matrix elements of the volume operator in canonical quantum gravity J. Math. Phys. 39 3347-71
    • (1998) J. Math. Phys. , vol.39 , pp. 3347-3371
    • Thiemann, T.1
  • 7
    • 0032399747 scopus 로고    scopus 로고
    • Quantum spin dynamics (QSD)
    • Thiemann T 1998 Quantum spin dynamics (QSD) Class. Quantum Grav. 15 839-73
    • (1998) Class. Quantum Grav. , vol.15 , pp. 839-873
    • Thiemann, T.1
  • 9
    • 33644584965 scopus 로고
    • New Hamiltonian formulation of general relativity
    • Ashtekar A 1987 New Hamiltonian formulation of general relativity Phys. Rev. D 36 1587-602
    • (1987) Phys. Rev. D , vol.36 , pp. 1587-1602
    • Ashtekar, A.1
  • 10
    • 22144440004 scopus 로고
    • Real Ashtekar variables for Lorentzian signature space-times
    • Barbero J F 1995 Real Ashtekar variables for Lorentzian signature space-times Phys. Rev. D 51 5507-10
    • (1995) Phys. Rev. D , vol.51 , pp. 5507-5510
    • Barbero, J.F.1
  • 11
    • 0004341311 scopus 로고
    • (New York: Wiley) ch II
    • Kobayashi S and Nomizu K 1963 Foundations of Differential Geometry vol 1 (New York: Wiley) ch II.11 Kobayashi S and Nomizu K 1969 Foundations of Differential Geometry vol 2 (New York: Wiley) ch X
    • (1963) Foundations of Differential Geometry , vol.1 , pp. 11
    • Kobayashi, S.1    Nomizu, K.2
  • 12
    • 0004341311 scopus 로고
    • (New York: Wiley) ch X
    • Kobayashi S and Nomizu K 1963 Foundations of Differential Geometry vol 1 (New York: Wiley) ch II.11 Kobayashi S and Nomizu K 1969 Foundations of Differential Geometry vol 2 (New York: Wiley) ch X
    • (1969) Foundations of Differential Geometry , vol.2
    • Kobayashi, S.1    Nomizu, K.2
  • 13
    • 0032361785 scopus 로고    scopus 로고
    • Kinematical Hilbert spaces for fermionic and Higgs quantum field theories
    • Thiemann T 1998 Kinematical Hilbert spaces for fermionic and Higgs quantum field theories Class. Quantum Grav. 15 1487-512
    • (1998) Class. Quantum Grav. , vol.15 , pp. 1487-1512
    • Thiemann, T.1
  • 14
    • 0001037369 scopus 로고    scopus 로고
    • Quantum theory of geometry II: Volume operators
    • Ashtekar A and Lewandowski J 1997 Quantum theory of geometry II: volume operators Adv. Theo. Math. Phys. 1 388-429
    • (1997) Adv. Theo. Math. Phys. , vol.1 , pp. 388-429
    • Ashtekar, A.1    Lewandowski, J.2
  • 15
    • 0007020922 scopus 로고
    • Discreteness of area and volume in quantum gravity
    • Rovelli C and Smolin L 1995 Discreteness of area and volume in quantum gravity Nucl. Phys. B 442 593-619 Rovelli C and Smolin L 1995 Nucl. Phys. B 456 753 (erratum)
    • (1995) Nucl. Phys. B , vol.442 , pp. 593-619
    • Rovelli, C.1    Smolin, L.2
  • 16
    • 33646624346 scopus 로고
    • erratum
    • Rovelli C and Smolin L 1995 Discreteness of area and volume in quantum gravity Nucl. Phys. B 442 593-619 Rovelli C and Smolin L 1995 Nucl. Phys. B 456 753 (erratum)
    • (1995) Nucl. Phys. B , vol.456 , pp. 753
    • Rovelli, C.1    Smolin, L.2
  • 18
    • 4243630060 scopus 로고
    • Volume operator in discretized quantum gravity
    • Loll R 1995 Volume operator in discretized quantum gravity Phys. Rev. Lett. 75 3048-51
    • (1995) Phys. Rev. Lett. , vol.75 , pp. 3048-3051
    • Loll, R.1
  • 19
    • 0031234455 scopus 로고    scopus 로고
    • Simplifying the spectral analysis of the volume operator
    • Loll R 1997 Simplifying the spectral analysis of the volume operator Nucl. Phys. B 500 405-20
    • (1997) Nucl. Phys. B , vol.500 , pp. 405-420
    • Loll, R.1
  • 22
    • 0001067551 scopus 로고
    • Weaving a classical metric with quantum threads
    • Ashtekar A, Rovelli C and Smolin L 1992 Weaving a classical metric with quantum threads Phys. Rev. Lett. 69 237-40
    • (1992) Phys. Rev. Lett. , vol.69 , pp. 237-240
    • Ashtekar, A.1    Rovelli, C.2    Smolin, L.3
  • 23
    • 36049055961 scopus 로고
    • Quantum theory of gravity. I. The canonical theory
    • DeWitt B S 1967 Quantum theory of gravity. I. The canonical theory Phys. Rev. 160 1113-48
    • (1967) Phys. Rev. , vol.160 , pp. 1113-1148
    • DeWitt, B.S.1
  • 24
    • 0000745082 scopus 로고
    • Origin of structure in the Universe
    • Halliwell J J and Hawking S W 1985 Origin of structure in the Universe Phys. Rev. D 31 1777-91
    • (1985) Phys. Rev. D , vol.31 , pp. 1777-1791
    • Halliwell, J.J.1    Hawking, S.W.2
  • 25
    • 0000105032 scopus 로고
    • What is the geometry of superspace?
    • Giulini D 1995 What is the geometry of superspace? Phys. Rev. D 51 5630-5
    • (1995) Phys. Rev. D , vol.51 , pp. 5630-5635
    • Giulini, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.