Projection Operator Method for Collective Tunneling Transitions

The Projection Operator Method and the Ashtekar-Horowitz-Boulware Model

Motivated by the recent work of Louko and Molgado, we consider the Ashtekar-Horowitz-Boulware model using the projection operator formalism. This paper uses the techniques developed in a recent paper of Klauder and Little to overcome the potential difficulties of this particular model. We also extend the model by including a larger class of functions than previously considered and evaluate the ...

Derivation of Transport Equation in Time-Dependent Projection Operator Method

We develop a formalism to carry out coarse-grainings by using a timedependent projection operator in Heisenberg picture. A systematic perturbative expansion with respect to the interaction part of the Hamiltonian is given and the Langevin-type equation without a time-convolution integral term is obtained. This method is applied to a quantum field theoretical model and a coupled transport equati...

Projection Operator in Adaptive Systems

The projection algorithm is frequently used in adaptive control and this note presents a detailed analysis of its properties.

Phase Transitions and Collective Phenomena

On Stability of the Metric Projection Operator

Abstract. Let M be a closed linear subspace of a normed linear space X. For a given f ∈ X denote by PM f the set of best approximations to f from M . The operator PM is termed the metric projection onto M . In this paper we are interested in the stability of the metric projection PM relative to perturbations of the subspace M . We mainly consider the case where X = Lp, p ∈ [1,∞]. We consider a ...