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How to construct the matrix of Hamiltonians for a hexagonal lattice

For part of a project I need to solve the TISE, HΨ=ESΨ (where H is the matrix with elements <Ψi|H|Ψj>, and S is a matrix with elements <Ψi|Ψj>) for different lattices. I've done this for a ...
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Decay Amplitudes Notation

This question is mostly about how to interpret notation used in Particle Physics. I am given that at lowest order the rate of $b\rightarrow s\gamma$ is proportional to $\langle B_p|b^\dagger b|B_p\...
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Matrix representation of the radial Laplace operator isn't symmetric (or hermition as a result)

I'm working with the cylindrical coordinates. I'm using the central difference to convert the radial part of Laplace operator into a matrix. $\nabla^2 u = \frac{\partial ^2u}{\partial r^2}+\frac{1}{r}...
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32 views

Matrix representation of a fermionic creation and annihilation operator in graphene nanoribbons?

From the other question Matrix representation for fermionic annihilation operator, what if we have to find the matrix representation for the operators $a_{\sigma}^{\dagger}(k,n)$ and $b_{\sigma}(k,n)$ ...
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25 views

Ray transfer matrix analysis (Fiber)

I'm currently trying to read into ray transfer matrix analysis and am fiddling around with some of the exercises in the workbook. This one is especially annoying, since I don't know if my approach was ...
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71 views

matrix elements of the electronic molecular Hamiltonian between a hartree product and a Slater determinant

This may belong in Chemistry, but I thought I might try my luck here first. In Szabo's book, an exercise requires a proof that = (N!)^(1/2) * given that |K(HP)> is the Hartree product wave ...