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We give a new construction based on pseudo-differential calculus of quasi-free Hadamard states for Klein-Gordon equations on a class of space-times whose metric is well-behaved at spatial infinity.
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Schlemmer, J., Verch, R.: Local thermal equilibrium states and quantum energy inequalities, Annales Henri Poincaré, 9
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Dappiaggi, C., Moretti, V. ,Pinamonti, N.: Distinguished quantum states in a class of cosmological space-times and their Hadamard property, J. Math. Phys. 50
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Dappiaggi, C., Moretti, V.,Pinamonti, N.: Rigorous construction and Hadamard property of the Unruh state in Schwarzschild space-time, Adv. Theor. Math. Phys. (5)
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Derezinski, J., Gérard, C.: Mathematics of Quantization and Quantum Fields
2013
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