Spectrum generating algebras are used in various fields of physics as models to determine quantum structure, including energy levels and transition strengths. The advantage of such models is that their group structure allows an extensive understanding of the system being studied. In addition they possess a simple classical limit, at least for bosonic systems. In this paper we discuss an algebra...

Applying two definitions of the union of IF-events, P. Grzegorzewski gave two generalizations of the inclusion-exclusion principle for IF-events.In this paper we prove an inclusion-exclusion principle for IF-states based on a method which can also be used to prove Grzegorzewski's inclusion-exclusion principle for probabilities on IF-events.Finally, we give some applications of this principle by...

The new techniques in seismic design of structures are usually attributed to high damping ratios. In such systems, the assumption of classical (i.e. proportional) damping is not valid and in most cases they should be considered as Non-classical systems. Since the analytical tools for studying the behavior of such structures are not easily available, the present work attempts to find the limits,...

We consider the application of original Meyer–Miller (MM) Hamiltonian to mapping fermionic quantum dynamics classical equations motion. Non-interacting and bosonic systems share same one-body density when evolving from initial many-body state. The MM is exact for non-interacting bosons, therefore, it yields time-dependent fermions as well. Starting this observation, compared different mappings ...

microalloyed s355n steel plates are extensively used in bridge and high-rise building structures. one ofthe factors affecting the mechanical properties is the size and morphology of inclusions. in this research,microalloyed s355n steel plates with different sizes of inclusions were examined. one contained longmanganese sulfide inclusions (li material) and the other had short ones (si material)....