Timeline for How to solve this operator equation numerically?
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Aug 2, 2017 at 18:00 | comment | added | David Zhang | I don't know much about Sturm-Liouville theory, but wouldn't you expect this equation to admit a nonzero eigenfunction for every $\lambda > 0$? Physically, this is the Schrodinger equation for a particle on $(0, \infty)$ experiencing a $1/\sinh^2$ potential spike at the origin. It is entirely unconfined to the right, and hence should happily be able to move to the right with any desired momentum $p$. This corresponds to solutions $f(x)$ asymptotic to $e^{ipx}$ as $x \to \infty$. | |
| Aug 2, 2017 at 6:15 | history | edited | Zinkin | CC BY-SA 3.0 |
added 118 characters in body
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| Aug 2, 2017 at 1:53 | comment | added | Igor Khavkine | You may want to look at the existing SLEIGN2 library. | |
| Aug 2, 2017 at 1:35 | comment | added | Robert Israel | Presumably on $(0,\infty)$ rather than all of $\mathbb R$, since there's a singularity at $0$? | |
| Aug 1, 2017 at 19:04 | review | First posts | |||
| Aug 1, 2017 at 19:13 | |||||
| Aug 1, 2017 at 19:00 | history | asked | Zinkin | CC BY-SA 3.0 |