Quantum chaos of a kicked particle in an infinite potential well

We study quantum chaos in a non-KAM system exemplified by a particle in an infinite potential well subject to a periodic kicking force. For a small perturbution K, the classical phase space displays a stochastic web structure, and the diffusion coefficient scales as D proportional to K-2.5. However, in the large K regime, D proportional to K-2. Quantum mechanically, we observe that the level spacing statistics of the quasieigenenergies changes from Poisson to Wigner distribution as K increases. The quasieigenstates are power-law localized for small K and extended for large K. Possible experimental realization of this model is also discussed. [S0031-9007(99)08900-0].