Browsing by Subject "Hamiltonians"
Now showing items 120 of 21

Article
BogoyavlenskyVolterra and Birkhoff integrable systems
(2004)In this paper we examine an interesting connection between the generalized Volterra lattices of Bogoyavlensky and a special case of an integrable system defined by Sklyanin. The Sklyanin system happens to be one of the ...

Article
Centralized Versus Decentralized Optimization of Distributed Stochastic Differential Decision Systems with Different Information StructuresPart I: A General Theory
(2017)Decentralized optimization of distributed stochastic dynamical systems with two or more controls of the decision makers (DMs) has been an active area of research for over half a century. Although, such decentralized ...

Article
Centralized Versus Decentralized Optimization of Distributed Stochastic Differential Decision Systems with Different Information StructuresPart II: Applications
(2017)In this second part of the twopart paper, a stochastic maximum principle, conditional Hamiltonians and the coupled backwardforward stochastic differential equations (SDEs) of the first part [1] are employed to derive ...

Article
Classification of noether symmetries for Lagrangians with three degrees of freedom
(2004)The noether symmetries of the EulerLagrange equations for a Hamiltonian system with three degrees were classified. All groups were classified that appeared as symmetries of a general Hamiltonians system of n degrees of ...

Article
Comparative study of perturbative methods for computing electron transfer tunneling matrix elements with a nonorthogonal basis set
(2006)The authors consider the problem of computing tunneling matrix elements for bridgemediated electron transfer reactions using the Löwdin [J. Math. Phys. 3, 969 (1962)

Conference Object
A construction of generalized Lotka–volterra systems connected with Sln.(C)
(Springer New York LLC, 2014)We construct a large family of Hamiltonian systems which are connected with root systems of complex simple Lie algebras. These systems are generalizations of the KM system. The Hamiltonian vector field is homogeneous cubic ...

Article
Decentralized optimality conditions of stochastic differential decision problems via Girsanov’s measure transformation
(2016)In this paper, we apply two methods to derive necessary and sufficient decentralized optimality conditions for stochastic differential decision problems with multiple Decision Makers (DMs), which aim at optimizing a common ...

Conference Object
Dynamic team optimality conditions of distributed stochastic differential decision systems with decentralized noisy information structures
(Institute of Electrical and Electronics Engineers Inc., 2013)We derive team and PersonbyPerson (PbP) optimality conditions using the stochastic Pontryagin's maximum principle, for distributed stochastic differential decision systems with decentralized noisy information structures. ...

Article
EightDimensional Quantum Hall Effect and "Octonions"
(2003)A generalization of the quantum Hall effect (QHE) where particles move in an eightdimensional space under an SO(8) gauge field was constructed. A nonrelativistic Hamiltonian for particles moving on the S8 in the presence ...

Article
Electron transfer through fluctuating bridges: On the validity of the superexchange mechanism and timedependent tunneling matrix elements
(2001)An attempt is made to find the most general description of the superexchange mechanism that is valid for timedependent donorbridgeacceptor systems. Timedependent electrontransfer probabilities that involve single MD ...

Article
Electronic structure of piezoelectric doublebarrier InAs/InP/InAs/InP/InAs (111) nanowires
(2004)The numerical selfconsistent solution of the PoissonSchrodinger equations in cylindrical coordinates for calculating electronic states in the effective mass approximation was implemented. High accuracy and rapid convergence ...

Article
Fragment orbital based description of charge transfer in peptides including backbone orbitals
(2014)Charge transfer in peptides and proteins can occur on different pathways, depending on the energetic landscape as well as the coupling between the involved orbitals. Since details of the mechanism and pathways are difficult ...

Article
Generalized Lotka  Volterra systems connected with simple Lie algebras
(2015)We devise a new method for producing Hamiltonian systems by constructing the corresponding Lax pairs. This is achieved by considering a larger subset of the positive roots than the simple roots of the root system of a ...

Article
Inelastic electron tunneling erases couplingpathway interferences
(2004)Theoretical analysis of nonadiabatic electrontransfer reactions in molecules usually assumes that electron amplitude propagates coherently from the reductant to the oxidant via covalent and noncovalent coupling pathways. ...

Article
Noether and master symmetries for the Toda lattice
(2005)In this letter we examine the interrelation between Noether symmetries, master symmetries and recursion operators for the Toda lattice. The topics include invariants, higher Poisson brackets and the various relations they ...

Article
So (p, q) Toda systems
(2013)We define an integrable Hamiltonian system of Toda type associated with the real Lie algebra so(p,q). As usual there exist a periodic and a nonperiodic version. We construct, using the root space, two Lax pair representations ...

Article
Stochastic minimum principle for partially observed systems subject to continuous and jump diffusion processes and driven by relaxed controls
(2013)In this paper, we consider nonconvex control problems of stochastic differential equations driven by relaxed controls adapted, in the weak star sense, to a current of sigma algebras generated by observable processes. We ...

Conference Object
Team optimality conditions of differential decision systems with nonclasssical information structures
(Institute of Electrical and Electronics Engineers Inc., 2014)We derive team optimality conditions for differential decision systems with nonclassical information structures. The necessary conditions of optimality are given in terms of Hamiltonian system of equations consisting of a ...

Conference Object
Team optimality conditions of differential decision systems with nonclasssical information structures
(Institute of Electrical and Electronics Engineers Inc., 2014)We derive team optimality conditions for differential decision systems with nonclassical information structures. The necessary conditions of optimality are given in terms of Hamiltonian system of equations consisting of a ...

Conference Object
Tunable excitons in gated graphene systems
(SPIE, 2017)We develop a microscopic theory of a strong electromagnetic radiation interaction with bilayer graphene where an energy gap is opened by a static electric field perpendicular to graphene planes. We show that an adiabatic ...