A note on Schrödinger equation with linear potential and hitting times

Details A note on Schrödinger equation with linear potential and hitting times A note on Schrödinger equation with linear potential and hitting times

2010-09-03

arxiv.org/abs/1009.0730v1

Mathematics

Probability

Scientific paper

In this note we derive a solution to the Schr\"odinger-type backward equation which satisfies a necessary boundary condition used in hitting-time problems [as described in Hern\'andez-del-Valle (2010a)]. We do so by using an idea introduced by Bluman and Shtelen (1996) which is worked out in Hern\'andez-del-Valle (2010b). This example is interesting since it is independent of the parameter $\lambda$, namely: \kappa(s,x)=\frac{x}{\sqrt{2\pi s}}\exp{-\frac{(x+\int_0^sf'(u))^2}{2s}}. and suggest a procedure to generating more vanishing solutions and $x=0$.

Affiliated with

Also associated with

No associations

Rating

A note on Schrödinger equation with linear potential and hitting times does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A note on Schrödinger equation with linear potential and hitting times, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A note on Schrödinger equation with linear potential and hitting times will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-685298