Results 151 to 160 of about 34,436 (198)

Asymptotic Quantization of the Gravitational Field

Physical Review Letters, 1981
A new approach to quantum gravity is proposed. The framework is sufficiently general to handle nontrivial space-time topologies required, e.g., in the black-hole formation and evaporation processes, and yet it incorporates notions such as energy-momentum, angular momentum, spin, mass, and discrete symmetries, normally associated with the Poincar\'e ...
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Covariant quantization of the gravitational field

Il Nuovo Cimento, 1961
In any quantum theory, in which the metric tensor of Einstein’s gravitational theory is also quantized, it becomes meaningless to ask for an initial space-like surface on which to specify the conventional field commutators. The covariant quantum formalism, in which all fields either commute or fail to do so only when the field’s points coincide, is ...
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Wightman Formulation for the Quantization of the Gravitational Field

Physical Review D, 1972
A generalization of Wightman field theory is formulated which makes the theory also applicable to the gravitational field. Strongly geodesically complete manifolds are found to be the most suitable for description of curved space-time in our approach. After the formulation of generalized axioms, the schemes of proofs of the fundamental theorems of the ...
M. Flato, J. Simon
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Remarks on Gupta's Quantization of the Weak Gravitational Field

Canadian Journal of Physics, 1971
The two quantum theories developed by Gupta for the weak gravitational field are reviewed. A third formalism is given in which it is assumed that there are only ten field variables. A difficulty is encountered when one attempts to construct graviton number operators.
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On the quantization of the linearized gravitational field

Classical and Quantum Gravity, 1999
Summary: We present a new point of view on the quantization of the gravitational field, namely we use exclusively the quantum framework of the second quantization. More explicitly, we take as one-particle Hilbert space, \(H_{\text{graviton}}\) the unitary irreducible representation of the Poincaré group corresponding to a massless particle of helicity ...
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Quantization and the source of the gravitational field

Lettere Al Nuovo Cimento Series 2, 1974
DII~AC (1) demonstrated long ago that the existence of magnetic monopoles together with the formalism of quantum mechanics necessarily implies that the sources of the electromagnetic field (electric and magnetic charge) are quantized. Several different arguments leading to Dirac's conclusion have been put forth, notably those due to SC~WI~G~n (2) and ...
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Gravitational field of the quantized electromagnetic plane wave

General Relativity and Gravitation, 1987
The quantum and classical descriptions of an electro-magnetic field are connected by the correspondence principle. We consider the electromagntic field as a source for gravity and compare the metrics due to a classical and quantized electromagnetic field. The quantization of the source demands the quantization of gravity.
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Quantization of the gravitational field in the neighborhood of the Schwarzschild solution in the relativistic theory of gravitation

Theoretical and Mathematical Physics, 1989
See the review in Zbl 0674.53070.
Sveshnikov, K. A., Silaev, P. K., Khrustalev, O. A.   +2 more
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Interaction of a two-level atom with a quantized radiation field in the presence of a gravitational field

Physical Review A, 2000
The system of a two-level atom interacting with a quantized radiation field in a gravitational field is studied by making use of a dynamical algebraic method. A full quantum treatment of the internal and external dynamics of the atom is given and an exact expression for the time evolution operator of the system is obtained.
Xu-Bo Zou, Jing-Bo Xu
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Stochastic Quantization of the Linearized Gravitational Field

1984
The stochastic quantization scheme of Parisi and Wu [1] exhibits a Euclidean quantum field ψ(x) as the stationary limit with respect to a fictitious time t of the stochastic relaxation process defined for t ≥ 0 by the Langevin equation $$\frac{\partial } {{\partial t}}\,\psi \,(t,x)\, = \, - \,\frac{{\delta S[\psi (t,x)]}} {{\delta \psi (t,x)}}\, +
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