Energy Level and Riccati Equation
Abstract
By an integral transformation, the energy eigenvalue problem of quantum bound state is converted to a nonlinear Riccati equation which is easily solved with the help of node theorem. Some typical examples are used to show the conciseness of this new approach.
The project partly supported by National Natural Science Foundation of China and the Grant LWTZ-1298 of The Chinese Academy of Sciences- Publication:
-
Communications in Theoretical Physics
- Pub Date:
- September 1999
- DOI:
- 10.1088/0253-6102/32/2/195
- Bibcode:
- 1999CoTPh..32..195Z