Understanding Energy Level Structure Using Quantum Rubik's Cube

This article combines the quantum Rubik's cube matrix with the BBH model, defines the matrix algorithm based on the reverse process of convolution, constructs the expression of quantum Rubik's cube matrix and Hamiltonian. Furthermore, in order to make the operation process of the quantum Rubik's cube matrix clearer, we used Joseph ring to draw a topology graph of the Rubik's cube expansion. This article uses a Quantum Rubik's cube to achieve energy level transitions of electrons, and its operation corresponds to path integration, obtaining the band dispersion. This work provides new ideas and methods for calculating Hamiltonian and studying energy level structure.