Original scientific paper
Singular and exactly solvable potentials
Cao Xuan Chuan
; 01 Parvis du Breuil, 92160 Antony, France
Abstract
The potentials involving singularities considered in this work result from the construction starting with higher-order-generation superpotentials. The second generation with a single base as well as the third one with a double base will be discussed. According to the choice of these bases, a number of results, which may be interesting from the theoretical point of view, can be observed such as the partial breaking of the symmetry or the construction of a new type of exactly solvable potentials which show existence of eigenstates with positive eigenvalues. Extension to the third generation potential of the theorem on quasi-exact solvability will also be discussed.
Keywords
higher-order superpotentials; singularities; second generation with a single base; third generation with a double base; breaking of symmetry; existence of eigenstates
Hrčak ID:
305224
URI
Publication date:
1.9.2003.
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