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  • Articles  (3)
  • Minisuperspace  (1)
  • Moyal–Weyl algebra  (1)
  • PACS. 42.62.Fi Laser spectroscopy – 33.70.-w Intensities and shapes of molecular spectral lines and bands – 33.70.Jg Line and band widths, shapes, and shifts  (1)
  • 2000-2004  (3)
  • 1970-1974
  • 1965-1969
  • 1
    Electronic Resource
    Electronic Resource
    Quantum Gravity Equation In Schrödinger Form In Minisuperspace Description (2000)
    Springer
    General relativity and gravitation 32 (2000), S. 2167-2187 
    Details
    ISSN: 1572-9532
    Keywords: quantum Cosmology ; Quantum Gravity ; Time ; Minisuperspace ; Wavefunction of the Universe PACS No. - 04.60, 98.80 Hw
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: 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.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1001902620253
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  • 2
    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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  • 3
    Electronic Resource
    Electronic Resource
    Semi-classical analysis of helium broadened acetylene (ν 1 +3ν 3 ) band transitions measured by a NIR diode laser spectrometer (2001)
    Springer
    The European physical journal 13 (2001), S. 337-344 
    Details
    ISSN: 1434-6079
    Keywords: PACS. 42.62.Fi Laser spectroscopy – 33.70.-w Intensities and shapes of molecular spectral lines and bands – 33.70.Jg Line and band widths, shapes, and shifts
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: Helium-broadened line shapes of the rovibrational transitions of the ( ν 1 + 3ν 3 ) combination-overtone band of C2H2 have been studied by using a near IR diode laser spectrometer. The 2 f frequency detection technique has been employed for signal detection of these weak band transitions. The linestrength parameters and broadening coefficients (HWHM) have been extracted by fitting the observed line shapes with Voigt profiles. Helium, lightest noble gas perturber, exhibits the effect of close collisional dephasing on pressure broadened line profiles. Due to overlapping of atomic orbitals the repulsive interaction dominates over attractive interaction for collision diameter in the 3 to 4 Årange. In order to interpret this type of linear polyatomic-monatomic collision phenomena the Tipping-Herman potential has been chosen. Emphasis has been given to the analysis of observed data to obtain information about interaction potential, phase-shift and molecular constants. The results obtained from detailed semi-classical model calculations are found to be in good agreement with the observed data.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s100530170250
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