SE RESOLVIÓ EL HAMILTONIANO DE HUBBARD EXTENDIDO PARA DOS PARTÍCULAS EN UNA RED UNIDIMENSIONAL, USANDO EL MÉTODO DEL MAPEO EN EL ESPACIO REAL Y LA TÉCNICA DE LA FUNCIÓN DE GREEN. ESTE HAMILTONIANO CONSIDERA LAS INTERACCIONES INTRA-ATÓMICAS U E INTER-ATÓMICAS V . EL MÉTODO MAPEA EL PROBLEMA DE MUCHOS CUERPOS CORRELACIÓN DE UN PROBLEMA EQUIVALENTE DE AMARRE FUERTE EN UN ESPACIO DE MAYOR DIMENSIÓN. HACIENDO UN ANÁLISIS DEL PROBLEMA EN ESTE ESPACIO SE OBTUVO LA SOLUCIÓN ANALÍTICA PARA LA ENERGÍA DE ENLACE DEL ESTADO BASE. LOS RESULTADOS ESTÁN EN COMPLETO ACUERDO CON LA SOLUCIONES OBTENIDAS TANTO NUMÉRICAMENTE [1] COMO EN EL ESPACIO RECÍPROCO [2].AbstractA 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].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].