1) hypersphere is a sphere in 4D space.
2) Solid state theoretician did a lot of band calculations in ancient times. I would recommentto look in old textbook by Harrison, or any book in theoretical Solid State Physics from 50-60ies.
yes, im aware of the theory, and have written computer code to do it, but am having problems related to the Hamiltonian.
the surface of a hypersphere is 3D, which means that an alternative to periodic imaging under boundary conditions is to implement a particle system on the surface of a hypersphere, thereby getting rid of the boundaries.
anyone on here actually implemented something like this?
I doubt you'll find anyone here. The only person here I know who's done any serious computation is Zz - I believe he did some Quantum Monte Carlo simulation; for what system, I can't recall.
I've come across a few computations similar to what you are doing (except they were done for clusters) when I spent some time looking into clusters and nano-particles and MO-based calculations thereof...but know too little of such stuff to speak intelligently.
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