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Open Quantum Systems Decoherence Quantum Simulation Quantum State Preparation Representation

Path integral formalism for the free Dirac propagator in spherical coordinates

arXiv

Authors: Sreya Banerjee, Zoltán Harman

Year

2023

Paper ID

54492

Status

Preprint

Abstract Read

~2 min

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Abstract

The relativistic Green's function of a free spin-1/2 fermion is derived using the Feynman path integral formalism in spherical coordinates. The Green's function is reduced to an exactly solvable path integral by an appropriate coordinate transformation. The result is given in terms of spherical Bessel functions and spherical spinors, and agrees with previous solutions of the problem.

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The relativistic Green's function of a free spin-1/2 fermion is derived using the Feynman path integral formalism in spherical coordinates.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2309.13688 [2] arXiv https://arxiv.org/abs/2309.13688 [3] Publisher https://arxiv.org/abs/2309.13688

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