“Quantization” of an isomonodromic Hamiltonian Garnier system with two degrees of freedom

synthesis of platinum nanostructures in two phase system

چکیده پلاتین، فلزی نجیب، پایدار و گران قیمت با خاصیت کاتالیزوری زیاد است که کاربرد های صنعتی فراوانی دارد. کمپلکس های پلاتین(ii) به عنوان دارو های ضد سرطان شناخته شدند و در شیمی درمانی بیماران سرطانی کاربرد دارند. خاصیت کاتالیزوری و عملکرد گزینشی پلاتین مستقیماً به اندازه و- شکل ماده ی پلاتینی بستگی دارد. بعضی از نانو ذرات فلزی در سطح مشترک مایع- مایع سنتز شده اند، اما نانو ساختار های پلاتین ب...

Effective Hamiltonian for Excitons with Spin Degrees of Freedom

Starting from the conventional electron-hole Hamiltonian Heh, we derive an effective Hamiltonian H̃1s for 1s excitons with spin degrees of freedom. The Hamiltonian describes optical processes close to the exciton resonance for the case of weak excitation. We show that straightforward bosonization of Heh does not give the correct form of H̃1s, which we obtain by a projection onto the subspace span...

Dynamical Systems with Two Degrees of Freedom.

Horseshoes in Perturbations of Hamiltonian Systems with Two Degrees of Freedom*

This paper concerns Hamiltonian and non-Hamiltonian perturbations of integrable two degree of freedom Hamiltonian systems which contain homoclinic and periodic orbits. Our main example concerns perturbations of the uncoupled system consisting of the simple pendulum and the harmonic oscillator. We show that small coupling perturbations with, possibly, the addition of positive and negative dampin...

Iterative determination of invariant tori for a time-periodic Hamiltonian with two degrees of freedom.

We describe a nonperturbative numerical technique for solving the HamiltonJacobi equation of a nonlinear Hamiltonian system. We find the time-periodic solutions which yield accurate approximations to invariant tori. The method is suited to the case in which the perturbation to the underlying integrable system has a periodic and not necessarily smooth dependence on the time. This case is importa...