Spaces of positive and negative frequency solutions of field equations in curved space–times. I. The Klein–Gordon equation in stationary space–times

DOI10.1063/1.523197zbMath0366.53012OpenAlexW2041539599MaRDI QIDQ4142302

Carlos S. Moreno

Publication date: 1977

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.523197

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Local differential geometry (53B99) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items

Micro-local approach to the Hadamard condition in quantum field theory on curved space-time, A local-to-global singularity theorem for quantum field theory on curved space-time (with an appendix by Rainer Verch), A geometrical approach to external potential problems in quantum field theory, On the spaces of positive and negative frequency solutions of the Klein- Gordon equation in curved space-times, Singularity structure of the two-point function in quantum field theory in curved spacetime. II, Spaces of positive and negative frequency solutions of field equations in curved space–times. II. The massive vector field equations in static space–times, Positive and negative frequency decompositions in curved spacetime, Schrödinger evolution of two-dimensional black holes, Complex structures for Klein–Gordon theory on globally hyperbolic spacetimes

Cites Work

• Particle creation by black holes
• Fractional powers of closed operators and the semigroups generated by them
• Les sources des solutions statiques de Schwarzschild et Curzon
• Fourier integral operators. II
• Quantization of Nonlinear Systems
• Black hole explosions?
• Quantized Fields and Particle Creation in Expanding Universes. I