Paper Citation Record · LEDGER

Smoothing effect and quantum-classical correspondence for the Schr{\"o}dinger equation with confining potential

As of 14 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2412.01209.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2412.01209 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T04:40:47.169726Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

18 of 18 outbound references displayed

verified exact0
verified fuzzy14
unresolved4
parse uncertain0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7f174f25-0182-41b7-958a-cafc541661a0 · outbound

This paper cites Smoothing effect for S chr\"odinger boundary value problems.

Smoothing effect and quantum-classical correspondence for the Schr{\"o}dinger equation with confining potential Smoothing effect for S chr\"odinger boundary value problems

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T04:40:47.498736Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a3da147d-ce26-41ba-966b-ae066529eec7 · outbound

This paper cites Calder \'o n and R\'emi Vaillancourt.

Smoothing effect and quantum-classical correspondence for the Schr{\"o}dinger equation with confining potential Calder \'o n and R\'emi Vaillancourt

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T04:40:47.483440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 663b24f9-71a9-4809-adfb-7f2476a0a3bf · outbound

This paper cites Smoothness of solutions for S chr\" o dinger equations with unbounded potentials.

Smoothing effect and quantum-classical correspondence for the Schr{\"o}dinger equation with confining potential Smoothness of solutions for S chr\" o dinger equations with unbounded potentials

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T04:40:47.467678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 90857bce-dbe8-4d73-93fc-30c55424b1a0 · outbound

This paper cites Spectral asymptotics in the semi-classical limit , volume 268 of London Mathematical Society Lecture Note Series.

Smoothing effect and quantum-classical correspondence for the Schr{\"o}dinger equation with confining potential Spectral asymptotics in the semi-classical limit , volume 268 of London Mathematical Society Lecture Note Series

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T04:40:47.452268Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e731ecec-c6f6-4ded-968e-6bfeb085de81 · outbound

This paper cites an unresolved cited work.

Smoothing effect and quantum-classical correspondence for the Schr{\"o}dinger equation with confining potential Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-12T04:40:47.435144Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 99e0c2a5-3aca-4d17-bfa0-fcb465036a66 · outbound

This paper cites The analysis of linear partial differential operators.

Smoothing effect and quantum-classical correspondence for the Schr{\"o}dinger equation with confining potential The analysis of linear partial differential operators

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T04:40:47.418702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2b810243-93a0-41b8-b7d5-a76cf80a30c8 · outbound

This paper cites Metrics on the phase space and non-selfadjoint pseudo-differential operators.

Smoothing effect and quantum-classical correspondence for the Schr{\"o}dinger equation with confining potential Metrics on the phase space and non-selfadjoint pseudo-differential operators

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T04:40:47.403443Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c6e5df36-5bb8-445a-a604-6336e6d1153a · outbound

This paper cites Uniform observability estimates for linear waves.

Smoothing effect and quantum-classical correspondence for the Schr{\"o}dinger equation with confining potential Uniform observability estimates for linear waves

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T04:40:47.387899Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 69c3d9ca-9f49-4fe4-b0c3-a9e9842cb59d · outbound

This paper cites An introduction to semiclassical and microlocal analysis.

Smoothing effect and quantum-classical correspondence for the Schr{\"o}dinger equation with confining potential An introduction to semiclassical and microlocal analysis

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T04:40:47.372233Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 65b138ed-9f76-405d-99d1-06a3b148c437 · outbound

This paper cites Observability of the Schr{\"o}dinger equation with subquadratic confining potential in the Euclidean space.

Smoothing effect and quantum-classical correspondence for the Schr{\"o}dinger equation with confining potential Observability of the Schr{\"o}dinger equation with subquadratic confining potential in the Euclidean space

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-12T04:40:47.131875Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c1e6feb1-b9d0-4764-8669-c4dfbe7d363d · outbound

This paper cites Egorov's theorem in the W eyl-- H \"o rmander calculus, 2024.

Smoothing effect and quantum-classical correspondence for the Schr{\"o}dinger equation with confining potential Egorov's theorem in the W eyl-- H \"o rmander calculus, 2024

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T04:40:47.355534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation da73f268-3f75-483d-af30-57c0d33ff082 · outbound

This paper cites o dinger operator. In Studies in phase space analysis with applications to PDE s , volume 84 of Progr. Nonlinear Differential Equations Appl. , pages 355--369. Birkh\.

Smoothing effect and quantum-classical correspondence for the Schr{\"o}dinger equation with confining potential o dinger operator. In Studies in phase space analysis with applications to PDE s , volume 84 of Progr. Nonlinear Differential Equations Appl. , pages 355--369. Birkh\

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T04:40:47.334865Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b8fb2f34-7d1d-4f84-bc22-3cb8899f12ba · outbound

This paper cites Remark on the K ato smoothing effect for S chr\" o dinger equation with superquadratic potentials.

Smoothing effect and quantum-classical correspondence for the Schr{\"o}dinger equation with confining potential Remark on the K ato smoothing effect for S chr\" o dinger equation with superquadratic potentials

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T04:40:47.315696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 86e4161f-7ba8-4151-95ef-bc865bb18328 · outbound

This paper cites The K ato smoothing effect for S chr\"odinger equations with unbounded potentials in exterior domains.

Smoothing effect and quantum-classical correspondence for the Schr{\"o}dinger equation with confining potential The K ato smoothing effect for S chr\"odinger equations with unbounded potentials in exterior domains

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T04:40:47.296381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e85ec23d-b40f-457f-8881-1de400c37790 · outbound

This paper cites an unresolved cited work.

Smoothing effect and quantum-classical correspondence for the Schr{\"o}dinger equation with confining potential Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-12T04:40:47.279588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 60a92473-ff37-4409-9cf7-e30695312684 · outbound

This paper cites an unresolved cited work.

Smoothing effect and quantum-classical correspondence for the Schr{\"o}dinger equation with confining potential Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-12T04:40:47.262617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 712f36b3-2644-43cb-8b74-ce63c9f54a7c · outbound

This paper cites On smoothing property of S chr\"odinger propagators.

Smoothing effect and quantum-classical correspondence for the Schr{\"o}dinger equation with confining potential On smoothing property of S chr\"odinger propagators

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T04:40:47.244982Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 9ed9324d-092e-4466-b265-a7f6877d9709 · outbound

This paper cites Semiclassical analysis , volume 138 of Graduate Studies in Mathematics.

Smoothing effect and quantum-classical correspondence for the Schr{\"o}dinger equation with confining potential Semiclassical analysis , volume 138 of Graduate Studies in Mathematics

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T04:40:47.228025Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

No inbound Pith citation observations are available.