Relativistic coupled-cluster(RCC) theory has been employed to calculate the lifetime of the 62P3/2 state of single ionized lead(Pb) to an accuracy of 3% and compared with the corresponding value obtained using second order relativistic many-body perturbation theory(RMBPT). This is one of the very few applications of this theory to excited state properties of heavy atomic systems. Contributions ...

The theory of geometric phase is generalized to a cyclic evolution of the eigenspace of an invariant operator with N-fold degeneracy. The corresponding geometric phase is interpreted as a holonomy inherited from the universal Stiefel U(N) bundle over a Grassmann manifold. Most significantly, for an arbitrary initial state, this holonomy captures the inherent geometric feature of the state evolu...

the hydrogen abstraction reaction of oh radical with ch3ch2ocf2chf2 (hfe-374pc2) is investigated theoretically by semi-classical transition state theory. the stationary points on the potential energy surface of the reaction are located by using kmlyp density functional method along with 6-311++g(d,p) basis set. vibrational anharmonicity coefficients, xij, required for semi-classical transition ...

The aim of this paper is to study the q-Schrödinger operator L = q(x) −∆q, where q(x) is a given function of x defined over R q = {qn, n ∈ Z} and ∆q is the q-Laplace operator ∆qf(x) = 1 x [ f(qx)− 1 + q q f(x) + 1 q f(qx) ]

The impetus of this study is to investigate the chaotic behavior of a size-dependent nano-beam with double-sided electrostatic actuation, incorporating surface energy effect and intermolecular interactions. The geometrically nonlinear beam model is based on Euler-Bernoulli beam assumption. The influence of the small-scale and the surface energy effect are modeled by implementing the consistent ...