On the functional equation related to the quantum three-body problem Abstract In the present paper we give the general solution of the functional equation (f (x) + g(y) + h(z)) 2 = F (x) + G(y) + H(z), x + y + z = 0 which is related to the exact factorized ground-state wave function for the quantum one-dimensional problem of three different particles with pairwise interaction.

We study 4α linear-chain states in 16 O in comparison with 3α states in 12 C by using the Generator Coordinate Method within a microscopic N α-cluster model. It is shown to be very important to solve relative motion of α-clusters by taking into account the orthogonality between the linear-chain states and other low-lying states including the ground state. For 12 C, the 3α chain state disappears...

We study the normal state spectral properties of the fermionic excitations in the Boson-Fermion model. The fermionic single particle excitations show a flattening of the dispersion as the Fermi vector k F is approached from below, forshadowing a Bogoliubov spectrum of a superconducting ground state. The width of the quasiparticle excitations near k F increases monotonically as the temperature i...

We prove development of type I singularities for a suitable concept of weak evolution in the context of the quintic focussing NLW on R3`1, for data near and “above” the ground state static solution.

We consider the enhancement of SL(2, R) to Virasoro algebra in a system ofN particles on AdS2. We restrict our discussion to the case of non-interacting particles, and argue that they must be treated as fermions. We find operators Ln whose commutators on the ground state, |vac〉, satisfy relations that are reminisent of c = 1 Virasoro algebra, provided N ≥ n ≥ −N . Same relations hold also on th...

We consider the linearized Ginzburg-Landau equation in the half-plane, in the presence of an electric current, perpendicular to the boundary, and the magnetic field it induces. In a previous work we have considered the same problem in the limit of small normal conductivity. In the present contribution we consider the large normal conductivity limit, which is more frequently encountered in exper...

The confinement mechanism earlier proposed by author is applied to describe the (possible) ground state of toponium ηt. For this aim the nonperturbative consistent approach is elaborated in both relativistic and nonrelativistic cases. The study entails estimates for parameters of the confining SU(3)-gluonic field in the above quarkonium, those estimates being also consistent with possible width...

A dynamical valence and sea quark mixing model is shown to fit the baryon ground state properties as well as the spin content of the nucleon. The relativistic correction and the q3↔q3qq̄ transition terms induced by the quark axial vector current ψ̄~γγ5ψ in this model space is responsible for the quark spin reduction. 14.20.Dh, 12.39.Jh, 12.39.Pn, 24.85.+p Typeset using REVTEX

The correlation functions of the spin-1/2 XXZ chain in the ground state were ex-pressed in the form of multiple integrals for −1 < ∆ ≤ 1 and 1 < ∆. In particular,adjacent four-point correlation functions were given as certain four-dimensional inte-grals. We show that these integrals can be reduced to polynomials with respect tospecific one-dimensional integrals. The results ...

We discuss the temperature-dependence of S-wave quarkonium spectral functions in a nonrelativistic Green’s function approach and compare these to lattice QCD results.