SINGULAR AND EXACTLY SOLVABLE POTENTIALS

Fizika B (Zagreb)

CAO XUAN CHUAN¹ 

关键词: higher-order superpotentials;    singularities;    second generation with a singlebase;    third generation with a double base;    breaking of symmetry;    existence of eigenstates;   

DOI  :  

学科分类：物理（综合）

来源: Fizika B: a journal of experimental and theoretical physics

【 摘 要 】

The potentials involving singularities considered in this work result from theconstruction starting with higher-order-generation superpotentials. The second generationwith 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 fromthe theoretical point of view, can be observed such as the partial breaking of thesymmetry or the construction of a new type of exactly solvable potentials which showexistence of eigenstates with positive eigenvalues. Extension to the third generationpotential of the theorem on quasi-exact solvability will also be discussed.

【 授权许可】

Unknown