Phase Space Formulation of S-matrix

Joon-Hwi Kim

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arXiv · 2512.23100

Phase Space Formulation of S-matrix

Joon-Hwi Kim

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Abstract

We establish an exact relation between the S-symplectomorphism and the S-matrix by means of the phase space formulation of quantum mechanics. The adjoint action of the S-matrix defines a fuzzy diffeomorphism on phase space whose classical limit is the S-symplectomorphism. The relation between classical and quantum eikonals is immediate via $\hbar$-deformation of each Poisson bracket in the Magnus formula. Diagrammatic computation of quantum eikonal is illustrated for quantizations in both symmetric and normal orderings.

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Joon-Hwi Kim. 2025-12-28. Phase Space Formulation of S-matrix. https://arxiv.org/abs/2512.23100

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