Timeline for Relation between scattering matrix and an effective Hamiltonian
Current License: CC BY-SA 3.0
10 events
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| Nov 29 at 5:44 | comment | added | ricma | You can find an online copy of the book on archive.org where you can borrow it electronically. (Digitized 2019) | |
| Jan 10, 2017 at 9:10 | answer | added | Michał Jan | timeline score: 7 | |
| Mar 5, 2015 at 10:50 | comment | added | Krishna Tripathi | @FraSchelle You are right! I've edited the question. What i know about this relation is that it is relation between Scattering matrix $$S$$ of a system described by $$H_{M}$$ connected to leads (scattering regions) via a matrix $$W$$. I actually don't know how to derive it and hence it's validity. I've seen many people using it to compute S-matrix on lattice. | |
| Mar 5, 2015 at 10:31 | history | edited | Krishna Tripathi | CC BY-SA 3.0 |
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| Mar 5, 2015 at 8:12 | comment | added | FraSchelle | Posts about Dyson: physics.stackexchange.com/q/10718/16689 and physics.stackexchange.com/q/105120/16689 I do not understand the link between your question and the notion of effective Hamiltonian, if you could precise it in your edit of your question in order to make everything clear. Thanks in advance. | |
| Mar 5, 2015 at 7:53 | comment | added | FraSchelle | Would be interesting to know a bit more what are $H_M$, and $W$. I guess $E$ is the energy. I have the feeling this is just the Dyson equation for the scattering matrix written in Fourier component (in energy, not in time) as @Meng-Cheng said below [ physics.stackexchange.com/a/168478/16689 ]. Note that your equation is wrong (the term $(\cdots)-1W$ makes no dimensional sense, and should read $(\cdots)^{-1}W$ It can be prove generically starting from the Schrödinger equation for the S. The $i$ and the $\pi$ are convention, so this comment is a loop: please define $W$ ... | |
| Mar 5, 2015 at 3:58 | history | edited | DanielSank | CC BY-SA 3.0 |
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| Mar 4, 2015 at 22:43 | answer | added | Meng Cheng | timeline score: 3 | |
| Mar 4, 2015 at 18:28 | history | edited | Qmechanic♦ | CC BY-SA 3.0 |
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| Mar 4, 2015 at 10:47 | history | asked | Krishna Tripathi | CC BY-SA 3.0 |