Timeline for Limit (at infinity) for the lowest eigenvalue of a perturbed harmonic oscillator
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Jan 15, 2018 at 13:55 | comment | added | Alexandre Eremenko | It is equal: when $w$ is the fundamental state of the first equation (which I wrote), $y$ is the fundamental state of the second. The fundamental state is characterized by two properties: it belongs to $L^2$ and has no changes of sign. Of course, the $\lambda_0$ of YOUR equation is $\geq$ my $\lambda_0(\epsilon)$. | |
| Jan 14, 2018 at 16:31 | comment | added | char | Thank you for this answer. I just have one question: didn't you mean $\lambda_0(\epsilon) \geq \epsilon^{\frac{2}{3}} \lambda_0(1)$ instead of equals (I don't see how to show the equality)? | |
| Jan 14, 2018 at 15:28 | vote | accept | char | ||
| Jan 14, 2018 at 14:27 | history | answered | Alexandre Eremenko | CC BY-SA 3.0 |