Algorithm of the numerical decision of stochastic Shrodinger equation.

[Alexey]

Prompt please where it is possible to find algorithm of the numerical decision of stochastic Shrodinger equation with casual potential having zero average and delta – correlated in space and time?

 

The equation:

i*a*dF/dt b*nabla*F-U*F=0

 

where

i - imaginary unit,

d/dt - partial differential on time,

F=F (x, t) - required complex function,

nabla - Laplas operator,

U=U (x, t)- stochastic potential.

Delta-correlated potential <U(x,t)U(x`,t`)>=A*delta(x-x`) *delta(t-t`) .

where delta - delta-function of Dirack, A – const, <> - simbol of average,

Zero average: <U(x,t)>=0

Gaussian distributed P(U)=C*exp(U^2/delU^2)

Where C, delU - constants.

[atinymonkey]

http://arxiv.org/abs/quant-ph/9706050

 

Do you ever get answers to this when you post it on forums? Is it homework help, or thesis work?

 

BTW Schrodinger not Shrodinger, which sounds a bit like a trowel in Swedish.

[Alexey]

>Do you ever get answers to this when you post it on forums?

No. Why you ask?

 

>Is it homework help, or thesis work?

It is thesis work. Why you ask?

 

Thank you very mach for link!

[atinymonkey]

Originally posted by Alexey

Do you ever get answers to this when you post it on forums?

No. Why you ask?

 

Google tells me you asked before. Google knows all.

 

Is it homework help, or thesis work?

It is thesis work. Why you ask?

 

Um, I don't know. It was a weird question. I thought it might have been an extra credit question that a lecturer had posted, and I want credit if I answer it. Like the guy off Good will Hunting

[Alexey]

Teal please, whether you are engaged stochastic Sredinger equation?

[Kettle]

Hi Alexey - just a friendly message to say that it's generally considered bad form to duplicate your posts (and their replies).

 

http://www.scienceforums.net/forums/showthread.php?s=&threadid=1460

 

[atinymonkey]

Originally posted by Alexey

Teal please, whether you are engaged stochastic Sredinger equation?

 

Nope, I studied it a long long time ago. I didn't much like it. I'm not sure I ever finished, I'd have to dig out my notes.

[Alexey]

Originally posted by Kettle

Hi Alexey - just a friendly message to say that it's generally considered bad form to duplicate your posts (and their replies).

 

http://www.scienceforums.net/forums/showthread.php?s=&threadid=1460

 

 

Thank you for information!

[Alexey]

Originally posted by atinymonkey

 

Nope, I studied it a long long time ago. I didn't much like it. I'm not sure I ever finished, I'd have to dig out my notes.

 

It is a pity. I can not find the answer whether will be to occur a localization of wave function under action of casual fluctuations or not. Hoped at you something to ask. You do not know? That is whether will be a localization of wave function in the equation written above?

 

Than you are engaged now?