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- W2184135485 abstract "The Nelson model describes a quantum particle interacting with a scalar Bose field on the Minkowski spacetime. It is extended to models on a static spacetime. In a series of papers [2, 3, 4] we prove the existence and absence of ground states of these extended models. In this paper, we illustrate the results obtained in [3, 4] only for a special case where the boson has a variable mass. If the variable mass decays sufficiently slowly, the ground state exists, but if it decays sufficiently fast, it does not exist. Furthermore we prove the absence of the ground state of the model studied in [2] under a weaker condition on a variable mass than that of [2]." @default.
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- W2184135485 date "2010-01-01" @default.
- W2184135485 modified "2023-09-26" @default.
- W2184135485 title "Existence and absence of ground states for a particle interacting through the quantized scalar field on a static spacetime" @default.
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