The conserved densities of the Korteweg–De Vries equation
The conserved densities of the Korteweg–de Vries equation are identified as energy densities associated with higher order equations generated from the KdV equation and governing its solutions.
The conserved densities of the Korteweg–de Vries equation are identified as energy densities associated with higher order equations generated from the KdV equation and governing its solutions.
Geometrical spacetime perturbation theory: Regular first-order structures
Spacetime perturbation theory is formulated in a coordinate independent way by regarding a family of spacetimes as a (4+n) -dimensional manifold with a particular standard connection and deriving anal...
Spacetime perturbation theory is formulated in a coordinate independent way by regarding a family of spacetimes as a (4+n) -dimensional manifold with a particular standard connection and deriving anal...
Bogoliubov transformations, propagators, and the Hawking effect
J. Math. Phys. 19, 2289 (1978); doi:10.1063/1.523607
Issue Date: November 1978
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The thermal spectrum of radiation, seen by suitable observers using ''Unruh particle detectors,'' in de Sitter spacetime is recovered using Bogoliubov transformation techniques. Previous attempts by other authors at calculating particle production in de Sitter spacetime, prior to the discovery of thermal radiation using propagator techniques failed. The discrepancy between these previous mode mixing calculations, and the calculations presented here, are traced to ''de Sitter invariant'' versus ''observer dependent'' formalisms. One consequence is that the initial vacuum state chosen for the quantum field is not unique.
Journal of Mathematical Physics is copyrighted by The American Institute of Physics.
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REFERENCES (11)
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