The Quantum Arnold Transformation and the Ermakov-Pinney equation

Abstract

The previously introduced Quantum Arnold Transformation, a unitary operator mapping the solutions of the Schrödinger equation for time dependent quadratic Hamiltonians into the solutions for the free particle, is revised and some interesting extensions are introduced, providing in particular a generalization of the Ermakov-Pinney equation.

11 pages, 1 figure; to appear in Physica Scripta

References in corpus (1)

• Symmetries of the quantum damped harmonic oscillator

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