Analytically solvable Hamiltonians for quantum systems with a nearest-neighbour interaction

DOI10.1088/1751-8113/42/12/125301zbMath1159.82006arXiv0902.2308OpenAlexW3106216274MaRDI QIDQ3619520

Gilles Regniers, Joris Van der Jeugt

Publication date: 8 April 2009

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.2308

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Special quantum systems, such as solvable systems (81Q80)

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Coherent transfer by adiabatic passage in two-dimensional lattices ⋮ Quantum recurrence and fractional dynamic localization in ac-driven perfect state transfer Hamiltonians ⋮ Dynamical analysis of mass-spring models using Lie algebraic methods

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