Results 1 to 10 of about 1,094 (212)
Quantization of the gravitational field [PDF]
Annals of Physics, 1962 Abstract Present quantum theories of the gravitational field generally work in ‘flat space’. The original attempt at quantization was made by Gupta (1952) and carried out by him to first order. He started with the Lagrangian of the classical theory and applied the normal methods of quantization to it, treating the gab as ordinary ...
Stanley Mandelstam
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Quantization of Gravitationally Bound Systems [PDF]
Universe, 2021 Some of the approaches to quantization in gravity theory concerning gravitationally bound systems are considered. Grades of quantization applicable to these systems have been classified in terms of quantum mechanics, quantum field theory, and quantum ...
Michael Fil’chenkov, Yuri Laptev
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Landau Levels in a Gravitational Field: The Schwarzschild Spacetime Case [PDF]
Universe, 2021 We investigate the gravitational effect on Landau levels. We show that the familiar infinite Landau degeneracy of the energy levels of a quantum particle moving inside a uniform and constant magnetic field is removed by the interaction of the particle ...
Alexandre Landry, Fayçal Hammad
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Photon-Sphere Modes in Curved Optical Microcavities: A Black-Hole Analogue Laser. [PDF]
Adv Sci (Weinh)An optical analogue of a Schwarzschild black hole is realized using curved microcavities that preserve light‐like geodesics. A new family of laser modes confined around the photon sphere is identified alongside conventional whispering‐gallery modes. Analytical theory, numerical simulations, and experiments reveal curvature‐induced confinement, enabling
Xu C +9 more
europepmc +2 more sources
Stochastic quantization of the linearized gravitational field [PDF]
Journal of Mathematical Physics, 1982 Stochastic field equations for linearized gravity are presented. The theory is compared with the usual quantum field theory and questions of Lorentz covariance are discussed. The classical radiation approximation is also presented.
exaly +4 more sources
Proper time approach to the quantization of the gravitational field
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 1980 Abstract An approach to the quantization of the gravitational field and other generally covariant systems is described. The main result is a formal expression for the Feynman propagator of the field as a whole, which replaces the usual expression for the evolution operator in ordinary field theory.
Claudio Teitelboim
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The Stochastic Quantization of the Gravitational Field and the Gribov Problem [PDF]
Progress of Theoretical Physics, 1983 On applique la methode de quantification stochastique au champ gravitationnel. On trouve que la distribution de Faddeev-Popov pour une condition de jauge arbitraire satisfait l'equation de Fokker Planck modifiee en equilibre par le choix propre d'un ...
Sakamoto Jiro
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Topological quantization of gravitational fields [PDF]
Journal of Mathematical Physics, 2005 We introduce the method of topological quantization for gravitational fields in a systematic manner. First we show that any vacuum solution of Einstein’s equations can be represented in a principal fiber bundle with a connection that takes values in the Lie algebra of the Lorentz group.
Patino, L, Quevedo, Hernando
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Hybrid Loop Quantum Cosmology: An Overview
Frontiers in Astronomy and Space Sciences, 2021 Loop Quantum Gravity is a nonperturbative and background independent program for the quantization of General Relativity. Its underlying formalism has been applied successfully to the study of cosmological spacetimes, both to test the principles and ...
Beatriz Elizaga Navascués +1 more
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Schrödinger Symmetry in Gravitational Mini-Superspaces
Universe, 2023 We prove that the simplest gravitational symmetry-reduced models describing cosmology and black hole mechanics are invariant under the Schrödinger group.
Jibril Ben Achour +3 more
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