Electron resonances in quantum will with periodic irregular boundary

Spectrum of electron states in the infinitely deep two-dimensional potential well where one wall was characterized by the periodically irregular form, was studied theoretically. Non-Bragg type resonances were shown to appear in such a well, that was, resonances of standing waves representing modes of various space harmonics of the electron wave function. Resonances took place within energy wide range standing from the values close to the end in every 2D sub-zone. Resonance interaction resulted in splitting of the energy spectrum and in occurrence of forbidden slits, that was why, the electron spectrum was characterized by the mini-zonal nature. The properties of the electron gas varied essentially in compliance with the spectrum new nature