Semiclassical analysis of shell structures in realistic nuclear potentials are presented using periodicorbit theory. We adopted r potential model and examined classical-quantum correspondence using Fourier transformation technique. Spin-orbit coupling is also taken into account in the model Hamiltonian. Gross shell structure for a certain combination of surface diffuseness and spin-orbit parame...

An efficient scheme for the generation of spin-symmetry adapted matrix elements required by all correlated many electron wave function methods of electronic structure theory is briefly outlined. Matrix elements can be formulated in the Clifford algebra unitary group representation of Gel’fand-Tsetlin basis, Clifford-Weyl basis, Jeziorski-Paldus-Jankowski basis or determinant basis in order to e...

Using quantum electrodynamics as an example, a dependence of physical predictions of quantum field theory in a finite perturbation theory order on the choice of renormalization scheme is studied. It is shown that On-Mass-Shell renormalization scheme is distinguished in quantum electrodynamics not only due to the agreement of the theory predictions with experimental results but also due to a set...

The paper is concerned with a methodology of optimal design of shells of minimum weight with strength, stability and strain constraints. Stress and strain state of the shell is determined by Galerkin method in the mixed finite element formulation within the geometrically nonlinear theory. The analysis of the effectiveness of different optimization algorithms to solve the set problem is given. T...

This paper investigates the transverse and torsional wave in singleand double-walled carbon nanotubes (SWCNTs and DWCNTs), focusing on the effect of carbon nanotube microstructure on wave dispersion. The SWCNTs and DWCNTs are modeled as nonlocal single and double elastic cylindrical shells. Molecular dynamics (MD) simulations indicate that the wave dispersion predicted by the nonlocal elastic c...

Almost all constructive ideas in particle theory of the last 5 decades beyond Lagrangian quantization have originated from an incomplete or erroneous understanding of one of the deepest ideas (after scattering theory) which links on-shell with off-shell objects: the crossing property. The bootstrap S-matrix approach, the dual S-matrix model and string theory would not have come into being witho...

We show that any generally covariant coupling of matter fields to gravity gives rise to a conserved, on-shell symmetric energy-momentum tensor equivalent to the canonical energy-momentum tensor of the flat-space theory. For matter fields minimally coupled to gravity our algorithm gives the conventional Belinfante tensor. We establish that different matter-gravity couplings give metric energy-mo...