We show that the m-dimensional Euler–Manakov top on so∗(m) can be represented as a Poisson reduction of an integrable Hamiltonian system on a symplectic extended Stiefel variety V̄(k,m), and present its Lax representation with a rational parameter. We also describe an integrable two-valued symplectic map B on the 4dimensional variety V(2, 3). The map admits two different reductions, namely, to t...

Abstract We prove the existence of infinitely many time-periodic solutions nonlinear Schrödinger equations using pseudo-holomorphic curve methods from Hamiltonian Floer theory. For generalization Gromov–Floer compactness theorem to infinite dimensions, we show how solve arising small divisor problem by combining elliptic with results theory diophantine approximations.

We show that the m-dimensional Euler–Manakov top on so∗(m) can be represented as a Poisson reduction of an integrable Hamiltonian system on a symplectic extended Stiefel variety V̄(k,m), and present its Lax representation with a rational parameter. We also describe an integrable two-valued symplectic map B on the 4dimensional variety V(2, 3). The map admits two different reductions, namely, to t...

in this research we work with the effective hamiltonian and the quark model. we investigate the decay rates of matter-antimatter of quark. we describe the effective hamiltonian theory and apply this theory to the calculation of current-current ( ), qcd penguin ( ), magnetic dipole ( ) and electroweak penguin ( ) decay rates. the gluonic penguin structure of hadronic decays is studied through th...

A precise analytic model for the relative motion of a group of satellites in slightly elliptic orbits is introduced. With this aim, we describe the relative motion of an object relative to a circular or slightly elliptic reference orbit in the rotating Hill frame via a low-order Hamiltonian, and solve the Hamilton-Jacobi equation. This results in a first-order solution to the relative motion id...

Elliptic curve cryptosystems (ECC) are new generations of public key cryptosystems that have a smaller key size for the same level of security. The exponentiation on elliptic curve is the most important operation in ECC, so when the ECC is put into practice, the major problem is how to enhance the speed of the exponentiation. It is thus of great interest to develop algorithms for exponentiation...

Considering a temperature dependent two-level quantum system, we have numerically solved the Landau-Zener transition problem. The method includes the incorporation of temperature effect as a thermal noise added Schrödinger equation for the construction of the Hamiltonian. Here, the obtained results which describe the changes in the system including the quantum states and the transition pro...

In this paper, we prove that any C1-regular Hamiltonian stationary Lagrangian submanifold in a symplectic manifold is smooth. More broadly, develop regularity theory for class of fourth order nonlinear elliptic equations with two distributional derivatives. Our originates the geometrically motivated variational problem volume functional, but should have applications beyond.