Superintegrable systems are characterised by the possession of many symmetries and integrals. We use the simple harmonic oscillator as an example and examine the relationship between the Noetherian integrals of a given Lagrangian as quantum operators and the Lie symmetries of the corresponding Schr¨odinger Equation.

Classical integrals as quantum mechanical differential operators: a comparison with the symmetries of the Schroedinger equation

M.C. Nucci;
2014

Abstract

Superintegrable systems are characterised by the possession of many symmetries and integrals. We use the simple harmonic oscillator as an example and examine the relationship between the Noetherian integrals of a given Lagrangian as quantum operators and the Lie symmetries of the corresponding Schr¨odinger Equation.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11570/3207184
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