The asymptotic behavior of bound eigenfunctions of Hamiltonians for single-variable systems
- 1 August 1978
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 19 (8) , 1658-1661
- https://doi.org/10.1063/1.523885
Abstract
An extremely simple technique for examining the asymptotic behavior of bound eigenfunctions of Hamiltonians for single‐variable systems is presented. A few simple examples are studied.Keywords
This publication has 13 references indexed in Scilit:
- The exponential decay of sub-continuum wavefunctions of two-electron atomsJournal of Physics A: General Physics, 1977
- Asymptotic behavior of atomic bound state wave functionsJournal of Mathematical Physics, 1973
- Asymptotic behaviour of eigenfunctions for multiparticle Schrödinger operatorsCommunications in Mathematical Physics, 1973
- Exponential decay of bound state wave functionsCommunications in Mathematical Physics, 1973
- Asymptotic Properties of the Wave Function for a Bound Nonrelativistic Three-Body SystemJournal of Mathematical Physics, 1962
- On Bounded Green's Kernels for Second Order Linear Ordinary Differential EquationsAmerican Journal of Mathematics, 1951
- On the Derivatives of the Solutions of One-Dimensional Wave EquationsAmerican Journal of Mathematics, 1950
- On Isolated Eigenfunctions Associated with Bounded PotentialsAmerican Journal of Mathematics, 1950
- Oscillatory and Non-Oscillatory Linear Differential EquationsAmerican Journal of Mathematics, 1949
- On the Smallness of Isolated EigenfunctionsAmerican Journal of Mathematics, 1949