Methods for generating quasi-exactly solvable potentials
β Scribed by Asim Gangopadhyaya; Avinash Khare; Uday P. Sukhatme
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 571 KB
- Volume
- 208
- Category
- Article
- ISSN
- 0375-9601
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We present in this paper a rather general method for the construction of so-called conditionally exactly solvable potentials. This method is based on algebraic tools known from supersymmetric quantum mechanics. Various families of one-dimensional potentials are constructed whose corresponding Schro
A class of spectral problems with a hidden Lie-algebraic structure is considered. We define a duality transformation which maps the spectrum of one quasi-exactly solvable (QES) periodic potential to that of another QES periodic potential. The self-dual point of this transformation corresponds to the
We construct a general algorithm generating the analytic eigenfunctions as well as eigenvalues of one-dimensional stationary SchrΓΆdinger Hamiltonians. Both exact and quasi-exact Hamiltonians enter our formalism but we focus on quasi-exact interactions for which no such general approach has been cons