Asymptotic Lower Bounds for a Class of Schrödinger Equations
✍ Scribed by Luis Vega; Nicola Visciglia
- Publisher
- Springer
- Year
- 2008
- Tongue
- English
- Weight
- 340 KB
- Volume
- 279
- Category
- Article
- ISSN
- 0010-3616
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📜 SIMILAR VOLUMES
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
## 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