38 citations · 112 across the 14 of their papers we have counts for
14 papers
An example of double confluent Heun equation: Schroedinger equation with supersingular plus Coulomb potential
Julio Abad, Javier Sesma
A recently proposed algorithm to obtain global solutions of the double confluent Heun equation is applied to solve the quantum mechanical problem of finding the energies and wave f…
An algorithm to obtain global solutions of the double confluent Heun equation
J. Abad, F. J. Gomez, J. Sesma
A procedure is proposed to construct solutions of the double confluent Heun equation with a determinate behaviour at the singular points. The connection factors are expressed as qu…
Thermodynamic properties of the XX model in a chain with a period two and three coupling
Julio Abad
The exact solutions for the energy spectrum of the XX model with a periodic coupling and an external transverse magnetic field are obtained. The diagonalization procedure is di…
Exact two particle spectrum of the Heisenberg-Peierls chain
Julio Abad, J. G. Esteve
The exact solution for the two particle spectrum of the Heisenberg-Peierls one dimensional spin chain is given by working in the fermionic representation. The resulting equations f…
Exact Solution of a Electron System Combining Two Different t-J Models
J. Abad, M. Ríos
A new strongly correlated electron model is presented. This is formed by two types of sites: one where double occupancy is forbidden, as in the t-J model, and the other where doubl…
Excitations and S-matrix for su(3) spin chain combining and ${3^{*}}
J. Abad, M. Ríos
The associated Hamiltonian for a su(3) spin chain combining and representations is calculated. The ansatz equations for this chain are obtained and solved in the th…