Mappings between potentials

ABSTRACT MAPPINGS BETWEEN POTENTIALS KOÇAK Mehmet M. Sc. in Engineering Physics Supervisor: Assoc. Prof. Dr. Bülent GÖNÜL September 2002, 65 pages In this work we scrutinize applications of the point canonical transformations (PCT), which have received a tot of attention in the literature recently. The method has been applied to exactly solvable central and non-central potentials together with quasi-exactly solvable potentials. The PCT technique has led to new insights in the studies of physical problems posed in this thesis. The applications allow something of a systematic approach enabling one to recognize the equivalence of superficially unrelated quantum mechanical problems. Keywords: Point Canonical Transformation, quasi-exactly solvable potentials, exactly solvable central and non-central potentials. m