Quantcast
  • Register
PhysicsOverflow is a next-generation academic platform for physicists and astronomers, including a community peer review system and a postgraduate-level discussion forum analogous to MathOverflow.

Welcome to PhysicsOverflow! PhysicsOverflow is an open platform for community peer review and graduate-level Physics discussion.

Please help promote PhysicsOverflow ads elsewhere if you like it.

News

New printer friendly PO pages!

Migration to Bielefeld University was successful!

Please vote for this year's PhysicsOverflow ads!

Please do help out in categorising submissions. Submit a paper to PhysicsOverflow!

... see more

Tools for paper authors

Submit paper
Claim Paper Authorship

Tools for SE users

Search User
Reclaim SE Account
Request Account Merger
Nativise imported posts
Claim post (deleted users)
Import SE post

Users whose questions have been imported from Physics Stack Exchange, Theoretical Physics Stack Exchange, or any other Stack Exchange site are kindly requested to reclaim their account and not to register as a new user.

Public \(\beta\) tools

Report a bug with a feature
Request a new functionality
404 page design
Send feedback

Attributions

(propose a free ad)

Site Statistics

145 submissions , 122 unreviewed
3,930 questions , 1,398 unanswered
4,851 answers , 20,616 comments
1,470 users with positive rep
501 active unimported users
More ...

Lindblad equation solution

+ 1 like - 0 dislike
33 views

I have been trying to solve a Lindblad Equation and then thought about whether there is a closed form Lindblad Equation solution for most types. Googling hasn't lead me to anything useful. So, is there some sort of generalized Lindblad Equation solution?

I am looking for something like the Schrondinger solution $U = \exp(-i H t / \hbar)$, but for Lindblad.

This post imported from StackExchange Physics at 2015-08-16 03:57 (UTC), posted by SE-user TanMath
asked Aug 6, 2015 in Theoretical Physics by user123 (35 points) [ no revision ]
The Lindblad equation is more or less as complicated as the Schrodinger equation. Is there a general solution to the Schrodinger equation?

This post imported from StackExchange Physics at 2015-08-16 03:57 (UTC), posted by SE-user DanielSank
@DanielSank Yes there is a general solution to the Schrödinger equation; and also to the Lindblad equation, even if they are a little bit different.

This post imported from StackExchange Physics at 2015-08-16 03:57 (UTC), posted by SE-user yuggib
@yuggib well, if you mean a general solution in terms of eigenstates, then yes, I agree. It's really not clear to me what TanMath wants. I hope he/she will edit the question to make it more specific and clear.

This post imported from StackExchange Physics at 2015-08-16 03:57 (UTC), posted by SE-user DanielSank
@DanielSank For the Schrödinger equation, I mean a general solution as an evolution equation on Hilbert spaces; for the Lindblad equation as a semigroup equation on Banach spaces. I will make an answer to clarify.

This post imported from StackExchange Physics at 2015-08-16 03:57 (UTC), posted by SE-user yuggib
@yuggib Oh you just mean $\exp[-i t H / \hbar]$?

This post imported from StackExchange Physics at 2015-08-16 03:57 (UTC), posted by SE-user DanielSank
@DanielSank Yes, of course ;-)

This post imported from StackExchange Physics at 2015-08-16 03:57 (UTC), posted by SE-user yuggib

Your answer

Please use answers only to (at least partly) answer questions. To comment, discuss, or ask for clarification, leave a comment instead.
To mask links under text, please type your text, highlight it, and click the "link" button. You can then enter your link URL.
Please consult the FAQ for as to how to format your post.
This is the answer box; if you want to write a comment instead, please use the 'add comment' button.
Live preview (may slow down editor)   Preview
Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
If you are a human please identify the position of the character covered by the symbol $\varnothing$ in the following word:
p$\hbar$ysicsO$\varnothing$erflow
Then drag the red bullet below over the corresponding character of our banner. When you drop it there, the bullet changes to green (on slow internet connections after a few seconds).
To avoid this verification in future, please log in or register.




user contributions licensed under cc by-sa 3.0 with attribution required

Your rights
...