• SUDHIR RANJAN JAIN

      Articles written in Indian Academy of Sciences Conference Series

    • Probability distributions of nodal domains and amplitudes of wavefunctions

      SUDHIR RANJAN JAIN

      More Details Abstract Fulltext PDF

      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.

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