The quantum metrological performance of spin coherent states superposition is considered, and conditions for measurements with the Heisenberg-limit (HL) precision are identified. It demonstrated that choice parameter-generating operator can lead to physically different estimation outcomes. In particular, closed-form analytical descriptions cat derived. These findings show routes careful control...

We address a mathematical and physical status of exotic (like e.g. fractal) solutions of the Schrödinger equation. To this end, we extend the formal meaning of the Schrödinger evolution of wave packets beyond the domain of the Hamiltonian. The dynamical importance of the finite mean energy condition is elucidated. PACS numbers: 03.65 Pb 1 Motivation For a simple Hamiltonian system whose energy ...

We establish some of the properties of the states interpolating between number and coherent states denoted by |n λ ; among them are the reproducing of these states by the action of an operator-valued function on |n (the standard Fock space) and the fact that they can be regarded as f-deformed coherent bound states. In this paper we use them, as the basis of our new Fock space which in this case...

Various Green functions of the Dirac equation with a magnetic-solenoid field (the superposition of the Aharonov-Bohm field and a collinear uniform magnetic field) are constructed and studied. The problem is considered in 2 + 1 and 3 + 1 dimensions for the natural extension of the Dirac operator (the extension obtained from the solenoid regularization). Representations of the Green functions as ...

For a piecewise linear intermittent map, the evolution of statistical averages of a class of observables with respect to piecewise constant initial densities is investigated and generalized eigenfunctions of the Frobenius-Perron operator P̂ are explicitly derived. The evolution of the averages are shown to be a superposition of the contributions from two simple eigenvalues 1 and λd ∈ (−1, 0), an...

We review results obtained using Shell Model Monte Carlo (SMMC) techniques. These methods reduce the imaginary-time many-body evolution operator to a coherent superposition of onebody evolutions in fluctuating one-body fields; the resultant path integral is evaluated stochastically. After a brief review of the methods, we discuss a variety of nuclear physics applications. These include studies ...

Background: Inclusion of inhomogeneity corrections in intensity modulated small fields always makes conformal irradiation of lung tumor very complicated in accurate dose delivery.Objective: In the present study, the performance of five algorithms via Monte Carlo, Pencil Beam, Convolution, Fast Superposition and Superposition were evaluated in lung cancer Intensity Modulated Radiotherapy plannin...

We extract a novel quantum programming paradigm superposition of programs from the design idea of a popular class of quantum algorithms, namely quantum walkbased algorithms. The generality of this paradigm is guaranteed by the universality of quantum walks as a computational model. A new quantum programming language QGCL is then proposed to support the paradigm of superposition of programs. Thi...