We consider the class of trees for which all vertices of degree at least 3 lie on a single induced path of the tree. For such trees, a new superposition principle is proposed to generate all possible orderedmultiplicity lists for the eigenvalues of symmetric (Hermitian)matrices whose graph is such a tree. It is shown that no multiplicity lists other than these can occur and that for two subclas...

Both classical and quantum physics thrive on the superposition principle (SP), yet the first one takes it as a local effect and the second one assumes it as a non-local phenomenon. We take SP as a tool to bridge the two worlds into one causal frame work by introducing extended interpretations on each one of the mathematical symbols and operators representing the photo detection equation for the...

In this work spontaneous (non-dynamical) breaking (effective hiding) of the unitary quantum mechanical dynamical symmetry (superposition) is considered. It represents an especial but very interesting case of the general formalism of the spontaneous symmetry breaking (effective hiding). Conceptual analogies with spontaneous breaking of the gauge symmetry in Weinberg-Sallam’s electro-weak interac...

Moir\'e lattices are aperiodic systems formed by a superposition of two periodic with relative rotational angle. In optics, the photonic moir\'e lattice has many appealing properties such as its ability to localize light, thus attracting much attention on exploring features structure. One fundamental research area for is eigenstates, particularly existence localized eigenstates and localization...

The paper presents a novel method for power loss allocation of systems to demands. This technique is based on the contribution individual demands branch grids. Results flow analysis, precise system modelling and superposition theorem are deployed in this proposed method. advantage described that it accurate ensures fairness among network users. In addition, simple can be effectively exploited b...

As a very important coating material in different applications, bitumen is a complex mixture of different chemicals. It is generally accepted that the principle of time-temperature superposition (TTS) holds for this material. In this study rheological measurements were carried out on four different bitumens. Different representations of the experimental data were examined to check failure or ho...

Abstract. The manuscript discusses a well-known issue that, despite its fundamental role in basic electric circuit theory, seems to be tackled without the needful attention. The question if the Principle of Superposition (POS) can be applied to linear networks containing linear dependent sources still appears as an addressed point unworthy to be further discussed. Conversely, the analysis of th...

The principle of linear superposition is a hallmark of quantum theory. It has been confirmed experimentally for photons, electrons, neutrons, atoms, for molecules having masses up to ten thousand amu, and also in collective states such as SQUIDs and Bose-Einstein condensates. However, the principle does not seem to hold for positions of large objects! Why for instance, a table is never found to...