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Sine Gordon model in 3+1 Dimensions

I'm have read the publication of Neuenhahn, C. and Marquardt, F. (2015) ‘Quantum simulation of expanding space–time with tunnel-coupled condensates’, New Journal of Physics. IOP Publishing, 17(12), ...
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Quantum Harmonic Oscillator Matrix Elements

I have a question about the procedure of generating the matrix elements of the Hamiltonian for a Harmonic oscillator. I understand how to calculate the matrix for the normal Hamiltonian i.e., $$H=\...
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