This is my reply to Professor David P. Landau:
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Hi Dr. Landau,
Thank you very much for your reply. A Hopf link is a standard topological construct. To derive the equivalent spin model from it, we have to draw its Seifert surface first. The attached hopf_link.jpg is the Hopf link and...
I talked with Professor David P. Landau on this issue.
Let me quote his suggestion: "I think that you are attempting to produce an extension of the original Edwards-Anderson model, and I imagine that retention of the frustration through symmetric delta-function couplings is all that is needed.".
I have another question. Can there be both ferromagnetic and anti-ferromagnetic interactions between two sites of an Ising model at the same time? In the attached picture you can see that two Ising sites have two interactions, one ferromagnetic and one anti-ferromagnetic.
Hi,
I was calculating the Edwards-Anderson Hamiltonian of a Hopf link. A hopf link is like attachment 1. I have drawn the Seifert surface of that link. The surface is shown in attachment 2. It also contains the Boltzmann weight. So, this is an Ising model. I am confused as there are more than...
I think my knowledge in QM is even less than elementary. For example, right now I am reading the following article.
http://en.wikipedia.org/wiki/Quantum_mechanics
Here are my confusions about the text:
1. Section 'Quantum mechanics and classical physics', second paragraph: The line...