Systematically Constructing Mesoscopic Quantum States Relevant to Periodic Orbits in Integrable Billiards from Directionally Resolved Level Distributions

Two-dimensional quantum billiards are one of the most important paradigms for exploring connection between and classical worlds. Researchers mainly focused on nonintegrable irregular shapes to understand characteristics chaotic billiards. The emergence scarred modes relevant unstable periodic orbits (POs) is intriguing finding in On other hand, stable POs abundant integrable wavefunctions associated with have been shown play a key role ballistic transport. A variety physical systems, such as microwave cavities, optical fibers, resonators, vibrating plates, acoustic waves, liquid surface used analogously simulate wave properties This article gives comprehensive review subtle level clustering three including square, equilateral triangle, circular