Abstract. We study p-spin glass models on regular random graphs. By analyzing the Franz-Parisi potential with a two-body cavity field approximation under the replica symmetric ansatz, we obtain a good approximation of the 1RSB transition temperature for p = 3. Our calculation method is much easier than the 1RSB cavity method because the result is obtained by solving self-consistent equations wi...

The Newton-Sabatier method for solving inverse scattering problem with fixed-energy phase shifts for a sperically symmetric potential is discussed. It is shown that this method is fundamentally wrong in the sense that its foundations are wrong: in general it cannot be carried through because its basic integral equation may be not solvable for some r > 0 and in this case the method breaks down; ...

We calculate the linearized metric perturbations in the five dimensional two-brane model of Randall and Sundrum. In a carefully chosen gauge, we write down and decouple Einstein equations for the perturbations and get the final and simple perturbative metric ansatz. This ansatz turns out to be equal to the linear expansion of the metric solution of Charmousis et al. [1]. We show that this ansat...

We introduce a family of variational ansatz states for chains of anyons which optimally exploits the structure of the anyonic Hilbert space. This ansatz is the natural analog of the multiscale entanglement renormalization ansatz for spin chains. In particular, it has the same interpretation as a coarse-graining procedure and is expected to accurately describe critical systems with algebraically...

Kurzfassung Die Anpassung von Anforderungswerkzeugen an den Projektkontext ist im Regelfall durch die Anpassungsfähigkeiten des jeweiligen Werkzeuges stark eingeschränkt. In diesem Beitrag stellen wir einen generativen Ansatz zur Anpassung von Anforderungswerkzeugen vor und demonstrieren den Ansatz im Rahmen einer Fallstudie. Unser Ansatz ermöglicht die einfache, zielgerichtete und weitreichend...

we assume that each valence quark in a nucleon is in a phenomenological modified harmonic oscillator potential of the form: ( l+yo) (ar +br+cr +dr ), where a, b, c and d are constants and ? is one of the dirac matrices. then by making use of a suitable ansatz, the dirac equation has a very simple solution which is exact. we then have calculated the static properties of the nucleon in the ground...