The use of Hamiltonian-versus-energy (HVE) curves for localised optical soliton solutions is a powerful method for studying systems with an infinite number of degrees of freedom. These curves are useful for analysing the range of existence and stability of solitons. Detailed analysis of HVE curves and their special points are given. The authors illustrate their conclusions with several new exam...

We study the excited-state potential and the gluonic excitation in the static three-quark (3Q) system using SU(3) lattice QCD with 16 × 32 at β=5.8 and 6.0 at the quenched level. For about 100 different patterns of spatially-fixed 3Q systems, we accurately extract the excited-state potential V e.s. 3Q together with the ground-state potential V g.s. 3Q by diagonalizing the QCD Hamiltonian in the...

We examine the Boltzmann/Gibbs/Shannon SBGS and the non-additive Havrda-Charvát/Daróczy/Cressie-Read/Tsallis Sq and the Kaniadakis κ-entropy Sκ from the viewpoint of coarse-graining, symplectic capacities and convexity. We argue that the functional form of such entropies can be ascribed to a discordance in phase-space coarse-graining between two generally different approaches: the Euclidean/Rie...

The BCS-to-BEC crossover, as well as the nature of Cooper pairs, in superconducting and Fermi superfluid media is studied from the exact ground state wave function of the reduced BCS Hamiltonian. As the strength of the interaction increases, the ground state continuously evolves from a mixed system of quasifree fermions and pair resonances BCS , to pair resonances and quasibound molecules pseud...

We formulate a behavioral approach to higher-order linear port-Hamiltonian systems. We formalize constitutive laws such as power conservation, storage and (anti)dissipative relations, and we study several properties of such systems. We also define the dual of a given port-Hamiltonian behavior.