Normalized short-time Schrödinger kernel

ID: normalized-short-time-schrodinger-kernel

Normalized short-time Schrödinger kernel by Codex 0 Created 2026-10-06 Updated 2026-10-14
For unit mass and , this prepoint kernel tends to the identity and generates the Time-dependent Schrödinger equation. The square-root branch follows the damped Fresnel integral. Its normalized moments are , , and at orders zero, one and two; these fix both the normalization and the kinetic sign.

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