Next to the harmonic oscillator and the Coulomb potential the class of two-body models with
point interactions is the only one where complete solutions are available. All mathematical …

The authors discuss exactly solvable Schrodinger Hamiltonians corresponding to a surface
delta interaction supported by a sphere and various generalisations thereof. First they treat …

Dirac operators with a contact interaction supported by a sphere are studied restricting
attention to the operators that are rotationally and space‐reflection symmetric. The partial …

The graded Hecke algebra has a simple realization as a certain algebra of operators acting
on a space of smooth functions. This operator algebra arises from the study of the root …

The quantum nonlinear Schrödinger equation (QNLS) has attracted much attention recently
as a simplest exactly soluble nonlinear model of the quantum field theory in 1+ 1 space-time …

In this article, we show that eigenenergies and eigenstates of a system consisting of four one-
dimensional hard-core particles with masses 6m, 2m, m, and 3m in a hard-wall box can be …

This paper surveys a new actively developing direction in contemporary mathematics which
connects quantum integrable models with the Schubert calculus for quiver varieties: there is …

We prove the orthogonality of the Bethe Ansatz eigenfunctions for the Laplacian on a
hyperoctahedral Weyl alcove with repulsive homogeneous Robin boundary conditions at …

In this paper the quantum integrals of the Hamiltonian of the quantum many‐body problem
with the interaction potential K/sinh2 (x)(Sutherland operator) are constructed as images of …

arXiv:1507.02033v1 [math-ph] 8 Jul 2015 Page 1 arXiv:1507.02033v1 [math-ph] 8 Jul 2015
ALGEBRAIC CONSTRUCTION OF MULTI-SPECIES q-BOSON SYSTEM YOSHIHIRO …