Recent content by Isaac.Wang88

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    Graduate Compute subband structure of graphene

    There’re 2 ways to calculate the subband structure of graphene nanoribbon using tight-binding model, for Zigzag chain: The first one is to diagonize the Hamiltonian $H = H_0 + H_10*exp(i*k_x) + H_01*exp(-i*k_x)$ and obtains the eigenvalues. The second method is just diagonize the Hamiltonian in...
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    Graduate All eigenvalues of a Hermitian matrix are real

    We know that all eigenvalues of a Hermitian matrix are real. How to explain this from the physics point of view?
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    Graduate Changing the Hamiltonian without affecting the wave function

    How many ways can we change the Hamiltonian without affecting the wave functions (eigenvectors) of it. Like multiply all the elements in the matrix by a constant. I'm facing a very difficult Hamiltonian,:cry: I want to simplify it, so the wave function will be much easier to derive. Thanks in...