The Chebotarev-Gregoratti Hamiltonian as singular perturbation of a nonsemibounded operator

TL;DR

This paper develops a method to derive the Hamiltonian for quantum stochastic flows by extending self-adjoint extension techniques to Fock space, addressing singular perturbations of nonsemibounded operators.

Contribution

It introduces an extension of the Albeverio-Kurasov construction to finite rank perturbations in Fock space for nonsemibounded operators.

Findings

Derived the Hamiltonian for quantum stochastic flows.

Extended self-adjoint extension methods to Fock space.

Addressed singular perturbations of nonsemibounded operators.

Abstract

We derive the Hamiltonian associated to a quantum stochastic flow by extending the Albeverio-Kurasov construction of self-adjoint extensions to finite rank perturbations of nonsemibounded operators to Fock space.