Evolution of non-spreading Airy wavepackets in time dependent linear potentials

DOI10.1016/j.amc.2011.02.088zbMath1219.65115OpenAlexW2082862676MaRDI QIDQ548359

Giuseppe Dattoli, K. V. Zhukovskiĭ

Publication date: 28 June 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.02.088

zbMATH Keywords

Schrödinger equationspropagationFokker-Plank equationAiry packetAiry transformexponential operatorGauss-Weierstrass transformtransforms

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fokker-Planck equations (35Q84)

Related Items (6)

Operational solution for some types of second order differential equations and for relevant physical problems ⋮ Wigner function of a relativistic particle in a time-dependent linear potential ⋮ Solutions of Some Types of Differential Equations and of Their Associated Physical Problems by Means of Inverse Differential Operators ⋮ Analytical solutions for heat diffusion beyond Fourier law ⋮ Solving evolutionary-type differential equations and physical problems using the operator method ⋮ Time evolution of quadratic quantum systems: evolution operators, propagators, and invariants

Cites Work

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• Expansions in Terms of Heat Polynomials and Associated Functions
• Airy wavepacket solutions of the Schrödinger equation
• On Crofton-Glaisher type relations and derivation of generating functions for Hermite polynomials including the multi-index case

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