A class of exactly solvable models for the Schrödinger equation
✍ Scribed by Downing, Charles
- Book ID
- 121501850
- Publisher
- Walter de Gruyter GmbH
- Year
- 2013
- Tongue
- English
- Weight
- 444 KB
- Volume
- 11
- Category
- Article
- ISSN
- 2391-5471
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract The solution to a spectral problem involving the Schrödinger equation for a particular class of multiparameter exponential‐type potentials is presented. The proposal is based on the canonical transformation method applied to a general second‐order differential equation, multiplied by a
The one-dimensional Schrodinger equation is solved for a new class of potentials with varying depths and shapes. The energy eigenvalues are given in algebraic form as a function of the depth and shape of the potential. The eigenfunctions and scattering function are also given in closed form. For ce
The three-dimensional Schriidinger equation with an effective mass is solved for a new class of angular momentum dependent potentials with varying depths and shapes. The energy eigenvalues and resonances are given in algebraic form as a function of the effective mass and depth and shape of the poten