Two-particle correlations in the-dimensional hubbart model: a ground-state analytical solution

SE RESOLVIO EL HAMILTONIANO DE HUBBARD EXTENDIDO PARA DOS PARTICULAS EN UNA RED UNIDIMENSIONAL, USANDO EL METODO DEL MAPEO EN EL ESPACIO REAL Y LA TECNICA DE LA FUNCION DE GREEN. ESTE HAMILTONIANO CONSIDERA LAS INTERACCIONES INTRA-ATOMICAS U E INTER-ATOMICAS V . EL METODO MAPEA EL PROBLEMA DE MUCHOS CUERPOS CORRELACION DE UN PROBLEMA EQUIVALENTE DE AMARRE FUERTE EN UN ESPACIO DE MAYOR DIMENSION. HACIENDO UN ANALISIS DEL PROBLEMA EN ESTE ESPACIO SE OBTUVO LA SOLUCION ANALITICA PARA LA ENERGIA DE ENLACE DEL ESTADO BASE. LOS RESULTADOS ESTAN EN COMPLETO ACUERDO CON LA SOLUCIONES OBTENIDAS TANTO NUMERICAMENTE [1] COMO EN EL ESPACIO RECIPROCO [2]. Abstract A SOLUTION TO THE EXTENDED HUBBARD HAMILTONIAN FOR THE CASE OF TWO-PARTICLES IN AN INFINITE ONE-DIMENSIONAL LATTICE IS PRESENTED, USING A REAL-SPACE MAPPING METHOD AND THE GREEN FUNCTION TECHNIQUE. THIS HAMILTONIAN CONSIDERS THE ON-SITE (U) AND THE NEAREST-NEIGHBOR (V ) INTERACTIONS. THE METHOD IS BASED ON MAPPING THE CORRELATED MANY-BODY PROBLEM ONTO AN EQUIVALENT SITE-IMPURITY TIGHT-BINDING ONE IN A HIGHER DIMENSIONAL SPACE. IN THIS NEW SPACE WE OBTAINED THE ANALYTICAL SOLUTION FOR THE GROUND STATE BINDING ENERGY. RESULTS ARE IN AGREEMENT WITH THE NUMERICAL SOLUTION OBTAINED PREVIOUSLY [1], AND WITH THOSE OBTAINED IN THE RECIPROCAL SPACE [2].