Probability distributions of nodal domains and amplitudes of wavefunctions
Zeros of a function encode significant information about the patterns they represent. Owing to nonseparable or/and non-integrable nature of the classical system, the nodal curves display a complex morphology. As they must avoid to cross, the domains of positive or negative sign they enclose look very complex and intriguing. Probability distribution functions of the normalized-domain number will be presented for simple billiards. For some of these systems, the amplitude distribution functions are found. Several open problems will be discussed.
SUDHIR RANJAN JAIN1 2 3