Physics0.01: Object-Oriented Programming for Exact Diagonalization

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A new system of library code is proposed and initiated. It is emphasized that the same terminologies as we find in our textbooks should be used for class names in the library code. The language C# invented by Microsoft is adopted in this project. Several rules of thumb are suggested in order to obtain easy-readable coherent codes. As a first step, we present the library code for exact diagonalization in physics. When we build codes, we clearly distinguish between model independent and dependent parts, and we use familiar terminologies like Hamiltonian, HilbertSpace, GroundState, etc as class names. As an explicit example, we calculate ground state energy of a quantum dot, showing the triplet-singlet transition.