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math-ph1999
Different faces of harmonic oscillator
Alexander Turbiner
Harmonic oscillator in Fock space is defined. Isospectral as well as polynomiality-of-eigenfunctions preserving, translation-invariant discretization of the harmonic oscillator is…
solv-int1999
Solutions of Non-linear Differential and Difference Equations with Superposition Formulas
Alexander Turbiner, Pavel Winternitz
Matrix Riccati equations and other nonlinear ordinary differential equations with superposition formulas are, in the case of constant coefficients, shown to have the same exact sol…