Umbral calculus, difference equations and the discrete Schrödinger equation
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Publication:3024097
DOI10.1063/1.1780612zbMath1064.39020arXivnlin/0305047OpenAlexW2090766156MaRDI QIDQ3024097
Decio Levi, Pavel Winternitz, Piergiulio Tempesta
Publication date: 30 June 2005
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/nlin/0305047
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Groups and algebras in quantum theory and relations with integrable systems (81R12) Discrete version of topics in analysis (39A12) Difference operators (39A70)
Related Items (16)
Classes of hypercomplex polynomials of discrete variable based on the quasi-monomiality principle ⋮ Some combinatorial identities of the degenerate Bernoulli and Euler-Genocchi polynomials ⋮ Barnes-type degenerate Euler polynomials ⋮ Finding mixed families of special polynomials associated with Appell sequences ⋮ Equivalence and symmetries for variable coefficient linear heat type equations. I ⋮ Confluent Appell polynomials ⋮ Multiple-scale analysis of dynamical systems on the lattice ⋮ Transmutations from the covariant transform on the Heisenberg group and an extended umbral principle ⋮ UMBRAL DEFORMATIONS ON DISCRETE SPACE–TIME ⋮ On Appell sequences of polynomials of Bernoulli and Euler type ⋮ Discretization of nonlinear evolution equations over associative function algebras ⋮ Connection and duplication formulas for the Boas-Buck-Appell polynomials ⋮ Finding hybrid relatives of the Bessel polynomials ⋮ (Discrete) Almansi type decompositions: an umbral calculus framework based on osp(1|2) symmetries ⋮ Heisenberg algebra, umbral calculus and orthogonal polynomials ⋮ Barnes-type Peters polynomial with umbral calculus viewpoint
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