Asymptotics of L_{p}-norms of Laguerre polynomials and entropic moments of D-dimensional oscillator

Abstract:

The asymptotics of the weighted L_{p}-norms of the Laguerre polynomials is determined for n → ∞ and p > 0. The result is motivated by calculations the entropic moments of the quantum-mechanical probability density of the highly-excited (Rydberg) states of D-dimensional oscillator.

Keywords:

asymptotical analysis; orthogonal polynomials; information entropy

Publication language:english,
pages:15

Research direction:

Mathematical problems and theory of numerical methods