2,995 research outputs found
Interactive Unawareness Revisited
We analyze a model of interactive unawareness introduced by Heifetz, Meier
and Schipper (HMS). We consider two axiomatizations for their model, which
capture different notions of validity. These axiomatizations allow us to
compare the HMS approach to both the standard (S5) epistemic logic and two
other approaches to unawareness: that of Fagin and Halpern and that of Modica
and Rustichini. We show that the differences between the HMS approach and the
others are mainly due to the notion of validity used and the fact that the HMS
is based on a 3-valued propositional logic.Comment: 26 page
Time-dependent Robin boundary conditions in the dynamical Casimir effect
Motivated by experiments in which moving boundaries are simulated by
time-dependent properties of static systems, we discuss the model of a massless
scalar field submitted to a time-dependent Robin boundary condition (BC) at a
static mirror in 1+1 dimensions. Using a perturbative approach, we compute the
spectral distribution of the created particles and the total particle creation
rate, considering a thermal state as the initial field state.Comment: 10 pages, 3 figures. To appear in proceedings of Conference on
Quantum Field Theory under the Influence of External Condition
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