Search results for "Algebraic method"
showing 8 items of 8 documents
Automated vehicles' work planning in flexible manufacturing systems
2006
The problem of rules setting in coordination of automated vehicles access to shared system resources (sections of their transportation paths) which assure a deadlock free and starvation free flow of the executed processes belongs to NP-hard problems. Assuming that there are local (controlling access to shared resources) rules of priority dispatching, the problem deals with setting conditions sufficient for a pair (initial state, set of priority dispatching rules). The assumed knowledge base way of specifying a transportation subsystem leads to solving a logic-algebraic method decision problem. In this regard, the working knowledge representation synthesis method constitutes a significant co…
A short note on O*-algebras and quantum dynamics
2009
We review some recent results concerning algebraic dynamics and O*-algebras. We also give a perturbative condition which can be used, in connection with previous results, to define a time evolution via a limiting procedure.
An algebraic approach to the Tavis-Cummings problem
2002
An algebraic method is introduced for an analytical solution of the eigenvalue problem of the Tavis-Cummings (TC) Hamiltonian, based on polynomially deformed su(2), i.e. su_n(2), algebras. In this method the eigenvalue problem is solved in terms of a specific perturbation theory, developed here up to third order. Generalization to the N-atom case of the Rabi frequency and dressed states is also provided. A remarkable enhancement of spontaneous emission of N atoms in a resonator is found to result from collective effects.
The algebra eigenstates method for some systems with spin-like interactions
2006
International audience; An extension of the algebra eigenstates formalism is proposed to solve the eigenvalue equation for a class of problems involving "spin interactions". The method is detailed for the harmonic oscillator, su(2) and su(1, 1) algebras. Special emphasis is given to the resolution of problems in vibronic spectroscopy involving doubly degenerate electronic states.
A Note on the algebraic approach to the «almost» mean-field Heisenberg model
1993
We generalize to an «almost» mean-field Heisenberg model the algebraic approach already formulated for Ising models. We show that there exists a family of «relevant» states on which the algebraic dynamics αt can be defined. © 1993 Società Italiana di Fisica.
Scale-free relaxation of a wave packet in a quantum well with power-law tails
2013
We propose a setup for which a power-law decay is predicted to be observable for generic and realistic conditions. The system we study is very simple: A quantum wave packet initially prepared in a potential well with (i) tails asymptotically decaying like ~ x^{-2} and (ii) an eigenvalues spectrum that shows a continuous part attached to the ground or equilibrium state. We analytically derive the asymptotic decay law from the spectral properties for generic, confined initial states. Our findings are supported by realistic numerical simulations for state-of-the-art expansion experiments with cold atoms.
Algebraic time-reversal operation
1999
International audience; We analyze the implementation of the time-reversal (TR) transformation in the algebraic approach to tetrahedral local molecules through the chain of groups U(5) U(4) K(4) = A(4) ^ S(4) S(4) Td. We determine the general form of the TR operation using a purely algebraic realization, based exclusively on the requirement that the irreducible representations must not be changed under the time inversion symmetry. As a result we can determine the TR behavior of purely algebraic operators.
Gui-driven intelligent tutoring system with affective support to help learning the algebraic method
2017
Despite many research efforts focused on the development of algebraic reasoning and the resolution of story problems, several investigations have reported that relatively advanced students experience serious difficulties in symbolizing certain meaningful relations by using algebraic equations. In this paper, we describe and justify the Graphical User Interface of an Intelligent Tutoring System that allows learning and practising the procedural aspects involved in translating the information contained in a story problem into a symbolic representation. The application design has been driven by cognitive findings from several previous investigations. First, the process of translating a word pr…