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  • 1
    Electronic Resource
    Electronic Resource
    A Quantization on Riemann Surfaces with Projective Structure (2000)
    Springer
    Letters in mathematical physics 54 (2000), S. 73-82 
    Details
    ISSN: 1573-0530
    Keywords: projective structure ; symplectic structure ; quantization ; Moyal–Weyl algebra
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: 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.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1007650202446
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  • 2
    Electronic Resource
    Electronic Resource
    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
    Keywords: Brans–Dicke theory ; cosmology
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: 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.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1001990303511
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