this work deals with effects of asymmetric stiffness on the dynamic behaviour of the rotor system. the analysis is presented through an extended lagrangian hamiltonian mechanics on the asymmetric rotor system, where symmetries are broken in terms of the rotor stiffness. the complete dynamics of asymmetries of rotor system is investigated with a case study. in this work, a mathematical model is ...

in this paper, an iterative method is proposed for solving the matrix inverse problem $ax=b$ for hermitian-generalized hamiltonian matrices with a submatrix constraint. by this iterative method, for any initial matrix $a_0$, a solution $a^*$ can be obtained in finite iteration steps in the absence of roundoff errors, and the solution with least norm can be obtained by choosing a special kind of...

Abstract We study the Hamiltonian for a system of three identical bosons in dimension interacting via zero-range forces. In order to avoid fall center phenomenon emerging standard Ter-Martirosyan–Skornyakov (TMS) Hamiltonian, known as Thomas effect, we develop detail suggestion given seminal paper Minlos and Faddeev 1962 construct regularized version TMS which is self-adjoint bounded from below...

A non-relativistic scalar particle moving on a curved surface undergoes geometric scattering whose behavior is sensitive to the theoretically ambiguous values of intrinsic and extrinsic curvature coefficients entering expression for quantum Hamiltonian operator. This suggests using data settle ambiguity in definition Hamiltonian. It has recently been shown that inclusion point defects enhances ...

Simulating molecular dynamics directly on quantum chemically obtained potential energy surfaces is generally time consuming. The cost becomes overwhelming especially when excited state dynamics is aimed with multiple electronic states. The interpolated potential has been suggested as a remedy for the cost issue in various simulation settings ranging from fast gas phase reactions of small molecu...

We study the chaotic dynamics of a near-integrable Hamiltonian Ablowitz–Ladik lattice, which is N+2-dimensional if N is even (N+1, if N is odd) and possesses, for all N , a circle of unstable equilibria at ε = 0, whose homoclinic orbits are shown to persist for ε 6= 0 on whiskered tori. The persistence of homoclinic orbits is established through Mel’nikov conditions, directly from the Hamiltoni...