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Browsing by Subject "Hamiltonians"

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    • Article  

      Bogoyavlensky-Volterra and Birkhoff integrable systems 

      Damianou, Pantelis A.; Kouzaris, S. P. (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 Structures-Part I: A General Theory 

      Charalambous, Charalambos D.; Ahmed, N. U. (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 Structures-Part II: Applications 

      Charalambous, Charalambos D.; Ahmed, N. U. (2017)
      In this second part of the two-part paper, a stochastic maximum principle, conditional Hamiltonians and the coupled backward-forward 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 

      Damianou, Pantelis A.; Sophocleous, Christodoulos (2004)
      The noether symmetries of the Euler-Lagrange 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 

      Teklos, A.; Skourtis, Spiros S. (2006)
      The authors consider the problem of computing tunneling matrix elements for bridge-mediated 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) 

      Charalambides, Stelios A.; Damianou, Pantelis A.; Evripidou, Charalambos A. (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 

      Charalambous, Charalambos D. (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 

      Charalambous, Charalambos D.; Ahmed, N. U. (Institute of Electrical and Electronics Engineers Inc., 2013)
      We derive team and Person-by-Person (PbP) optimality conditions using the stochastic Pontryagin's maximum principle, for distributed stochastic differential decision systems with decentralized noisy information structures. ...

    • Article  

      Eight-Dimensional Quantum Hall Effect and "Octonions" 

      Bernevig, B. A.; Hu, Jiang-Ping; Toumbas, Nicolaos K.; Zhang, Shou-Cheng (2003)
      A generalization of the quantum Hall effect (QHE) where particles move in an eight-dimensional 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 time-dependent tunneling matrix elements 

      Skourtis, Spiros S.; Archontis, Georgios Z.; Xie, Q. (2001)
      An attempt is made to find the most general description of the superexchange mechanism that is valid for time-dependent donor-bridge-acceptor systems. Time-dependent electron-transfer probabilities that involve single MD ...

    • Article  

      Electronic structure of piezoelectric double-barrier InAs/InP/InAs/InP/InAs (111) nanowires 

      Zervos, Matthew; Feiner, L.-F. (2004)
      The numerical self-consistent solution of the Poisson-Schrodinger 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 

      Heck, A.; Woiczikowski, P. B.; Kubař, T.; Welke, K.; Niehaus, T.; Giese, B.; Skourtis, Spiros S.; Elstner, M.; Steinbrecher, T. B. (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 

      Charalambides, Stelios A.; Damianou, Pantelis A.; Evripidou, Charalambos A. (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 coupling-pathway interferences 

      Skourtis, Spiros S.; Waldeck, D. H.; Beratan, David N. (2004)
      Theoretical analysis of nonadiabatic electron-transfer 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 

      Damianou, Pantelis A.; Sophocleous, Christodoulos (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 

      Charalambides, Stelios A.; Damianou, Pantelis A. (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 non-periodic 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 

      Ahmed, N. U.; Charalambous, Charalambos D. (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 

      Charalambous, C. D.; Charalambous, T.; Hadjicostis, Christoforos N. (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 

      Charalambous, Charalambos D.; Charalambous, T.; Hadjicostis, Christoforos N. (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 

      Djotyan, Anahit P.; Avetisyan, A. A.; Moulopoulos, Konstantinos (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 ...

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