Paper Citation Record · LEDGER

Derivation of Fokker-Planck equation from Schrodinger dynamics

As of 20 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2505.22693.

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

pith.paper-citation-record.v1
2505.22693 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:17:42.837634Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

27 of 27 outbound references displayed

verified exact0
verified fuzzy12
unresolved15
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d2ef88ef-9976-4152-95b6-bfe62dc02b66 · outbound

This paper cites an unresolved cited work.

Derivation of Fokker-Planck equation from Schrodinger dynamics Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:17:45.656762Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation c8c8a5e2-8f1b-439b-a3fc-596ee29ad816 · outbound

This paper cites Gallavotti and E.

Derivation of Fokker-Planck equation from Schrodinger dynamics Gallavotti and E

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:17:45.518392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 18ff4ab0-cb37-4577-9265-22ca4b080c56 · outbound

This paper cites (21) Thus the simplest form of the Fokker-Planck equation is the diﬀusion equation.

Derivation of Fokker-Planck equation from Schrodinger dynamics (21) Thus the simplest form of the Fokker-Planck equation is the diﬀusion equation

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:17:46.454069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 57614957-677c-4656-8351-4cd13c0db9d8 · outbound

This paper cites Marini, B.

Derivation of Fokker-Planck equation from Schrodinger dynamics Marini, B

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:17:45.189704Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation a8ee6263-c32c-40d0-ada3-814649ba8d38 · outbound

This paper cites (6) Equation ( 6) is more concisely written as |ψ(t)⟩ =U |ψ(0)⟩ (7) whereU is the unitary time evolution operator satisfying UU † =I (8) and I is the identity matrix.

Derivation of Fokker-Planck equation from Schrodinger dynamics (6) Equation ( 6) is more concisely written as |ψ(t)⟩ =U |ψ(0)⟩ (7) whereU is the unitary time evolution operator satisfying UU † =I (8) and I is the identity matrix

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:17:46.900557Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 6fdb08a9-5a26-49c4-a699-f5315a4ace01 · outbound

This paper cites (28) This propagator is the central object of Feynman’s for- mulation of quantum mechanics [17].

Derivation of Fokker-Planck equation from Schrodinger dynamics (28) This propagator is the central object of Feynman’s for- mulation of quantum mechanics [17]

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:17:46.252097Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 13d4e80d-cc7d-44ea-b64a-0eff8c0d263e · outbound

This paper cites an unresolved cited work.

Derivation of Fokker-Planck equation from Schrodinger dynamics Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:17:45.793702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation e8bdbf8c-79f7-4cb9-b2ae-fb29b4e629bd · outbound

This paper cites Paul and J.

Derivation of Fokker-Planck equation from Schrodinger dynamics Paul and J

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-07T13:17:41.575625Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8f16e859-f034-4c18-88f3-6506940e6e53 · outbound

This paper cites an unresolved cited work.

Derivation of Fokker-Planck equation from Schrodinger dynamics Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:17:44.544003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 90f38de1-4c0e-46af-bedb-d0811aa909cb · outbound

This paper cites an unresolved cited work.

Derivation of Fokker-Planck equation from Schrodinger dynamics Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:17:45.368765Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 57fa63b6-e023-4203-8828-9f33e8c6fc3f · outbound

This paper cites an unresolved cited work.

Derivation of Fokker-Planck equation from Schrodinger dynamics Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:17:44.187739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 7df060ee-f59d-4871-b549-d9cd15f43f87 · outbound

This paper cites Colangeli and L.

Derivation of Fokker-Planck equation from Schrodinger dynamics Colangeli and L

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:17:45.021725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 7cd3fab9-1de8-441d-8c97-616b9bc0846a · outbound

This paper cites an unresolved cited work.

Derivation of Fokker-Planck equation from Schrodinger dynamics Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:17:44.867568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f0919ea5-9b75-407f-8e7b-a05352033ecd · outbound

This paper cites an unresolved cited work.

Derivation of Fokker-Planck equation from Schrodinger dynamics Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:17:44.728709Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 724a5417-d955-4148-a198-4fd3559a6035 · outbound

This paper cites Rice, An Introduction to Quantum Optics (IOP Pub- lishing Ltd, 2020).

Derivation of Fokker-Planck equation from Schrodinger dynamics Rice, An Introduction to Quantum Optics (IOP Pub- lishing Ltd, 2020)

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:17:43.523045Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 9d920518-c9dc-4c0c-9e08-55d23490ab2f · outbound

This paper cites Zinn-Justin, Quantum ﬁeld theory and critical phe- nomena.

Derivation of Fokker-Planck equation from Schrodinger dynamics Zinn-Justin, Quantum ﬁeld theory and critical phe- nomena

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:17:43.361006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 31174283-7a82-407f-848b-1e1292d3716c · outbound

This paper cites an unresolved cited work.

Derivation of Fokker-Planck equation from Schrodinger dynamics Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:17:44.385383Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation eb8bd060-d7eb-4ad2-9a03-fb444a7c66a0 · outbound

This paper cites an unresolved cited work.

Derivation of Fokker-Planck equation from Schrodinger dynamics Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:17:46.683592Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 721f3f79-d603-4cfe-bed2-7c3ebdffc9a3 · outbound

This paper cites Zhou, M-G Li, and S.

Derivation of Fokker-Planck equation from Schrodinger dynamics Zhou, M-G Li, and S

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:17:43.970182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation bc1439b5-b239-41e3-a9aa-62865ba5e93c · outbound

This paper cites an unresolved cited work.

Derivation of Fokker-Planck equation from Schrodinger dynamics Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:17:43.826331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation ed03e0a1-5285-4e10-a659-b55ccd489d2c · outbound

This paper cites an unresolved cited work.

Derivation of Fokker-Planck equation from Schrodinger dynamics Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:17:43.641873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 13c0f1d0-3465-4103-8bd2-062244d4ef5c · outbound

This paper cites an unresolved cited work.

Derivation of Fokker-Planck equation from Schrodinger dynamics Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-07T13:17:42.552134Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 32376201-5b9b-42e1-b3b8-9ffa6ab6ddeb · outbound

This paper cites (43) where the k-derivatives here act only on the delta func- tion and not on Pk(t).

Derivation of Fokker-Planck equation from Schrodinger dynamics (43) where the k-derivatives here act only on the delta func- tion and not on Pk(t)

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:17:45.952587Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f27ce8cd-375f-482e-83d9-9f60a63d26b1 · outbound

This paper cites Kleinert, Path Integrals in Quantum Mechanics, Statistics and Polymer Physics (World Scientiﬁc 1995).

Derivation of Fokker-Planck equation from Schrodinger dynamics Kleinert, Path Integrals in Quantum Mechanics, Statistics and Polymer Physics (World Scientiﬁc 1995)

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:17:43.205053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 48d286b7-d092-46eb-a5bc-8dd58d7da1c0 · outbound

This paper cites Alicki and M.

Derivation of Fokker-Planck equation from Schrodinger dynamics Alicki and M

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:17:43.008421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation ed7e7005-49d9-477b-995b-7a04da9b50c8 · outbound

This paper cites an unresolved cited work.

Derivation of Fokker-Planck equation from Schrodinger dynamics Unresolved cited work

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-07T13:17:42.837634Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ee249189-8fe3-4a92-8268-691f8eb9bd47 · outbound

This paper cites an unresolved cited work.

Derivation of Fokker-Planck equation from Schrodinger dynamics Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:17:46.070483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Pith citing papers

No inbound Pith citation observations are available.