Difference ladder operators for a harmonic Schrödinger oscillator using unitary linear lattices

DOI10.1016/S0377-0427(02)00613-1zbMath1023.39015MaRDI QIDQ1874177

Julian Lorenz, Andreas Ruffing, Konstantin Ziegler

Publication date: 22 May 2003

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

zbMATH Keywords

orthogonal polynomials\(q\)-difference equationsquantum mechanicsharmonic oscillatorladder operatorsharmonic Schrödinger oscillatorunitary lattice

Mathematics Subject Classification ID

Difference operators (39A70) Difference equations, scaling ((q)-differences) (39A13)

Related Items (8)

Oscillatory difference equations and moment problems ⋮ Asymptotic analysis of the Askey-scheme. I: From Krawtchouk to Charlier ⋮ Some basic difference equations of Schrödinger boundary value problems ⋮ Square integrability of Gaussian bells on time scales ⋮ Factorization method on time scales ⋮ Corresponding Banach spaces on time scales ⋮ Analytic aspects ofq-delayed exponentials: minimal growth, negative zeros and basic ghost states ⋮ Nonautonomous oscillators and coefficient evaluation for orthogonal function systems

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