Related papers: Recursive Generation of The Semi-Classical Expansion in Arbitrary Dimension

Recursive Generation of The Semi-Classical Expansion in Arbitrary Dimension

URL: http://arxiv.org/abs/2012.06041v2
Date: Fri, 7 May 2021 09:27:44 GMT
Title: Recursive Generation of The Semi-Classical Expansion in Arbitrary Dimension
Authors: Cihan Pazarba\c{s}{\i}
Abstract summary: We present a procedure based on the small time expansion of the propagator. We generate a semi-classical expansion of the textitquantum action for a quantum mechanical potential in arbitrary dimensions.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
Abstract: We present a recursive procedure, which is based on the small time expansion of the propagator, in order to generate a semi-classical expansion of the \textit{quantum action} for a quantum mechanical potential in arbitrary dimensions. In the method we use the spectral information emerges from the singularities of the propagator on the complex $t$ plane, which are handled by the $i\ve$ prescription and basic complex analysis. This feature allows for generalization to higher dimensions. We illustrate the procedure by providing simple examples in non-relativistic quantum mechanics.

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