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The Schrödinger propagator on \((0,\infty )\) for a special potential by a Lie symmetry group method

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Abstract

We calculate the propagators (Green functions) of the heat and Schrödinger’s equations on the half-line with a combined harmonic oscillator and inverse-square potential using Lie symmetry group methods.

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Acknowledgements

The author would like to sincerely acknowledge the referee for providing constructive criticism and suggestions that improved both the content and presentation of this work.

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  1. Department of Mathematics, Faculty of Science and Letters, Istanbul Technical University, 34469, Istanbul, Turkey

    F. Güngör

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  1. F. Güngör
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Correspondence to F. Güngör.

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Güngör, F. The Schrödinger propagator on \((0,\infty )\) for a special potential by a Lie symmetry group method. Rend. Circ. Mat. Palermo, II. Ser 70, 1609–1616 (2021). https://doi.org/10.1007/s12215-020-00576-5

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  • DOI: https://doi.org/10.1007/s12215-020-00576-5

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