Lower bounds in cones for solutions to the schrödinger equation
✍ Scribed by Ira W. Herbst
- Book ID
- 112895414
- Publisher
- Springer-Verlag
- Year
- 1986
- Tongue
- English
- Weight
- 846 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0021-7670
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract A method is presented for obtaining rapidly convergent upper and lower bounds to the eigenvalues of the Schrödinger equation for one‐dimensional and central‐field models. The logarithmic derivative of the wave function is written as a Padé approximant and the bounds are obtained by simp
Strong positivity of the bounded inverse (&A) &1 of a Schro dinger operator &A=&2+q(x) v in L 2 (R N ) is proved in the following form: If &Au=f 0 in L 2 (R N ) with f 0, then u c. 1 a.e. in R N . Here, . 1 is the positive eigenfunction associated with the principal eigenvalue \* 1 of &A, and c is a