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  • Artikel  (4)
  • Brans–Dicke theory  (1)
  • Key words: Symmetric game, stable core, lower boundary, specified vectors  (1)
  • Minisuperspace  (1)
  • Moyal–Weyl algebra  (1)
  • 2000-2004  (4)
  • 1970-1974
  • 1965-1969
  • 1
    Digitale Medien
    Digitale Medien
    Quantum Gravity Equation In Schrödinger Form In Minisuperspace Description (2000)
    Springer
    General relativity and gravitation 32 (2000), S. 2167-2187 
    Details
    ISSN: 1572-9532
    Schlagwort(e): quantum Cosmology ; Quantum Gravity ; Time ; Minisuperspace ; Wavefunction of the Universe PACS No. - 04.60, 98.80 Hw
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: Abstract We start from the classical Hamiltonian constraint of general relativity to obtain the Einstein–Hamiltonian–Jacobi equation. We obtain a time parameter prescription demanding that geometry itself determines the time, not the matter field, such that the time so defined being equivalent to the time that enters into the Schrödinger equation. Using a semiclassical approximation we obtain an equation for quantum gravity in Schrödinger form containing time. We restrict ourselves to a minisuperspace description. Unlike matter field equation our equation is equivalent to the Wheeler–DeWitt equation in the sense that our solutions reproduce also the wavefunction of the Wheeler–DeWitt equation provided one evaluates the normalization constant according to the wormhole dominance proposal recently proposed by us.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1023/A:1001902620253
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  • 2
    Digitale Medien
    Digitale Medien
    A Quantization on Riemann Surfaces with Projective Structure (2000)
    Springer
    Letters in mathematical physics 54 (2000), S. 73-82 
    Details
    ISSN: 1573-0530
    Schlagwort(e): projective structure ; symplectic structure ; quantization ; Moyal–Weyl algebra
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik , Physik
    Notizen: Abstract Let X be a Riemann surface equipped with a projective structure. Let $$\mathcal{L}$$ be a square-root of the holomorphic cotangent bundle K X . Consider the symplectic form on the complement of the zero section of $$\mathcal{L}$$ obtained by pulling back the symplectic form on K X using the map ν ↦ ν⊗2. We show that this symplectic form admits a natural quantization. This quantization also gives a quantization of the complement of the zero section in K X equipped with the natural symplectic form.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1023/A:1007650202446
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  • 3
    Digitale Medien
    Digitale Medien
    Stability and largeness of core for symmetric games (2000)
    Springer
    International journal of game theory 29 (2000), S. 11-22 
    Details
    ISSN: 1432-1270
    Schlagwort(e): Key words: Symmetric game, stable core, lower boundary, specified vectors
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik , Wirtschaftswissenschaften
    Notizen: Abstract. Largeness of the core is sufficient for stability of the core. In general the necessity is not known. In this paper we answer affirmatively the necessity for symmetric games. We also prove its equivalence to n specified vectors being imputations and also to the convexity of the lower boundary of the set of all acceptable pay-off vectors of the game. In this paper we establish the equivalence of a condition given by Shapley to the newly evolved condition, thereby give an alternate proof to Shapley’s condition.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/s001820050002
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  • 4
    Digitale Medien
    Digitale Medien
    Evolution of Dynamical Coupling in Scalar Tensor Theory from Noether Symmetry (2000)
    Springer
    General relativity and gravitation 32 (2000), S. 1615-1626 
    Details
    ISSN: 1572-9532
    Schlagwort(e): Brans–Dicke theory ; cosmology
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: Abstract We present the gravitational coupling function ω(φ) in the vacuum scalar-tensor theory as allowed by the Noether symmetry. We also obtain some exact cosmological solutions in the spatially homogeneous and isotropic background thereby showing that the attractor mechanism is not effective enough to reduce the theory to Einstein theory. It is observed that, asymptotically, the scalar tensor theory goes over to Einstein theory with a finite value of ω. This work thus supports earlier works in this direction.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1023/A:1001990303511
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