Paper Citation Record · LEDGER

A Rigorous Derivation of the Hamiltonian Structure for the Nonlinear Schr\"odinger Equation

As of 23 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:1908.03847.

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pith.paper-citation-record.v1
1908.03847 v1

Coverage vector

measured 37 of 37 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-14T14:08:45.328648Z

measured 37 of 37 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

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Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

37 of 37 outbound references displayed

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verified fuzzy21
unresolved15
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External citation measurements

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Outbound references

Observation 325660b1-f8d5-4590-9eba-5ef2cde1e74c · outbound

This paper cites Abraham and J.

A Rigorous Derivation of the Hamiltonian Structure for the Nonlinear Schr\"odinger Equation Abraham and J

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:08:49.279093Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 03539468-7973-4f9c-bf5d-71a1d23d55f8 · outbound

This paper cites Adami, C.

A Rigorous Derivation of the Hamiltonian Structure for the Nonlinear Schr\"odinger Equation Adami, C

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:08:49.181155Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 68f4d257-cd27-4c1a-bffa-fcbf50b6aa3d · outbound

This paper cites Adami, F.

A Rigorous Derivation of the Hamiltonian Structure for the Nonlinear Schr\"odinger Equation Adami, F

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:08:49.065269Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 5d5ffabd-789e-4e8d-8fe4-245114f7bbdb · outbound

This paper cites an unresolved cited work.

A Rigorous Derivation of the Hamiltonian Structure for the Nonlinear Schr\"odinger Equation Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:08:48.983504Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 0963e945-50b7-43f2-8a21-97d157e73da5 · outbound

This paper cites Chen and N.

A Rigorous Derivation of the Hamiltonian Structure for the Nonlinear Schr\"odinger Equation Chen and N

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:08:48.849606Z

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Observation 30221410-8093-452f-ad0e-c233d67f3310 · outbound

This paper cites an unresolved cited work.

A Rigorous Derivation of the Hamiltonian Structure for the Nonlinear Schr\"odinger Equation Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:08:48.714848Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation c998dddb-37e0-48f5-8df2-d83e18f3d1e9 · outbound

This paper cites Erdös, B.

A Rigorous Derivation of the Hamiltonian Structure for the Nonlinear Schr\"odinger Equation Erdös, B

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:08:48.686558Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation efdedc2b-1fce-4e19-8dfe-00158a4b1f08 · outbound

This paper cites Math., 172 (2010), pp.

A Rigorous Derivation of the Hamiltonian Structure for the Nonlinear Schr\"odinger Equation Math., 172 (2010), pp

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:08:48.571016Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation e0e07514-9b69-44d0-824f-7cee96fb2867 · outbound

This paper cites Fröhlich, A.

A Rigorous Derivation of the Hamiltonian Structure for the Nonlinear Schr\"odinger Equation Fröhlich, A

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:08:48.385115Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 86e476ba-1907-401b-bb2a-bc12acaa922c · outbound

This paper cites an unresolved cited work.

A Rigorous Derivation of the Hamiltonian Structure for the Nonlinear Schr\"odinger Equation Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:08:48.334616Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 52ed9fd9-03da-4d71-a3b8-5ef1d5ea9137 · outbound

This paper cites Hor váth, Topological vector spaces and distributions, no.

A Rigorous Derivation of the Hamiltonian Structure for the Nonlinear Schr\"odinger Equation Hor váth, Topological vector spaces and distributions, no

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:08:48.231081Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 80ac0243-8882-4a73-b16f-2b6b49967146 · outbound

This paper cites Klainerman and M.

A Rigorous Derivation of the Hamiltonian Structure for the Nonlinear Schr\"odinger Equation Klainerman and M

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:08:48.172380Z

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Observation 55921ab6-b62b-4d10-b305-2676a716a726 · outbound

This paper cites Kriegl and P.

A Rigorous Derivation of the Hamiltonian Structure for the Nonlinear Schr\"odinger Equation Kriegl and P

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:08:48.045750Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation b40bd214-a7cf-44cd-ad52-7bf0dd1a9cb3 · outbound

This paper cites an unresolved cited work.

A Rigorous Derivation of the Hamiltonian Structure for the Nonlinear Schr\"odinger Equation Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:08:48.018475Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 5e5696ee-77a1-487e-9a6a-a7628c169e88 · outbound

This paper cites an unresolved cited work.

A Rigorous Derivation of the Hamiltonian Structure for the Nonlinear Schr\"odinger Equation Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:08:47.886739Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 7efe588c-9176-46af-bc9e-123c642f34fd · outbound

This paper cites Lewin, P.

A Rigorous Derivation of the Hamiltonian Structure for the Nonlinear Schr\"odinger Equation Lewin, P

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:08:47.769936Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 935ad52e-b58a-41ba-92a9-ff9cab2298da · outbound

This paper cites Marsden and A.

A Rigorous Derivation of the Hamiltonian Structure for the Nonlinear Schr\"odinger Equation Marsden and A

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:08:47.747832Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 94347fe4-47f2-4f90-8d7c-4f2453012837 · outbound

This paper cites an unresolved cited work.

A Rigorous Derivation of the Hamiltonian Structure for the Nonlinear Schr\"odinger Equation Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:08:47.617815Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 1996eb39-dc1e-49a2-94e4-8ee9f4e179a1 · outbound

This paper cites an unresolved cited work.

A Rigorous Derivation of the Hamiltonian Structure for the Nonlinear Schr\"odinger Equation Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:08:47.468043Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 328cb927-5854-4228-9471-c1957a00ed9c · outbound

This paper cites an unresolved cited work.

A Rigorous Derivation of the Hamiltonian Structure for the Nonlinear Schr\"odinger Equation Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:08:47.350871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 5afb0226-936b-4243-9fba-4347d2f6be2f · outbound

This paper cites an unresolved cited work.

A Rigorous Derivation of the Hamiltonian Structure for the Nonlinear Schr\"odinger Equation Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:08:47.205775Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 167dd9cf-f45b-48b9-8691-1dfad2f32513 · outbound

This paper cites Mendelson, A.

A Rigorous Derivation of the Hamiltonian Structure for the Nonlinear Schr\"odinger Equation Mendelson, A

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:08:47.099882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 00f93c06-b670-44cd-a22a-1299b2ed65b7 · outbound

This paper cites Milnor , Remarks on inﬁnite-dimensional Lie groups , in Relativ.

A Rigorous Derivation of the Hamiltonian Structure for the Nonlinear Schr\"odinger Equation Milnor , Remarks on inﬁnite-dimensional Lie groups , in Relativ

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:08:46.982642Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 5e0826f3-e9df-41ba-b70c-b3bfa1d98777 · outbound

This paper cites an unresolved cited work.

A Rigorous Derivation of the Hamiltonian Structure for the Nonlinear Schr\"odinger Equation Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:08:46.849122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation a0bda38e-ed99-4cad-ae0a-94173282a901 · outbound

This paper cites an unresolved cited work.

A Rigorous Derivation of the Hamiltonian Structure for the Nonlinear Schr\"odinger Equation Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:08:46.823329Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation e4c231e5-e1f0-4285-bff8-af4413c5cc21 · outbound

This paper cites an unresolved cited work.

A Rigorous Derivation of the Hamiltonian Structure for the Nonlinear Schr\"odinger Equation Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:08:46.674830Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 4ee84728-e639-4845-a39f-e60f0a71fce5 · outbound

This paper cites Omori , Inﬁnite-dimensional Lie groups , vol.

A Rigorous Derivation of the Hamiltonian Structure for the Nonlinear Schr\"odinger Equation Omori , Inﬁnite-dimensional Lie groups , vol

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:08:46.508702Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 00eaeb74-1378-4d92-a184-61dadd57900a · outbound

This paper cites P alais, The symmetries of solitons , Bulletin of the American Mathematical Society, 34 (1997), pp.

A Rigorous Derivation of the Hamiltonian Structure for the Nonlinear Schr\"odinger Equation P alais, The symmetries of solitons , Bulletin of the American Mathematical Society, 34 (1997), pp

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:08:46.394832Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 67d62c4f-1e4b-4d8e-a831-f038d199528e · outbound

This paper cites Th\'eor\`emes de de Finetti, limites de champ moyen et condensation de Bose-Einstein.

A Rigorous Derivation of the Hamiltonian Structure for the Nonlinear Schr\"odinger Equation Th\'eor\`emes de de Finetti, limites de champ moyen et condensation de Bose-Einstein

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:08:45.397999Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 98d8e375-6e5e-4e94-9372-de8ac89496a6 · outbound

This paper cites Schlein , Derivation of eﬀective evolution equations from microscop ic quantum dynamics , in Evol.

A Rigorous Derivation of the Hamiltonian Structure for the Nonlinear Schr\"odinger Equation Schlein , Derivation of eﬀective evolution equations from microscop ic quantum dynamics , in Evol

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:08:46.373540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation d10de183-5551-4102-9f49-7347b0998a12 · outbound

This paper cites Schw ar tz, Théorie des distributions , Publications de l’Institut de Mathématique de l’Universi té de Strasbourg, No.

A Rigorous Derivation of the Hamiltonian Structure for the Nonlinear Schr\"odinger Equation Schw ar tz, Théorie des distributions , Publications de l’Institut de Mathématique de l’Universi té de Strasbourg, No

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:08:46.169577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 3ac2ade4-a114-4cde-b598-bfda7fb7a6fc · outbound

This paper cites an unresolved cited work.

A Rigorous Derivation of the Hamiltonian Structure for the Nonlinear Schr\"odinger Equation Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:08:46.069036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 4d138319-00e3-41d3-b5c9-88fe215751b5 · outbound

This paper cites an unresolved cited work.

A Rigorous Derivation of the Hamiltonian Structure for the Nonlinear Schr\"odinger Equation Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:08:45.873216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 026f1f85-a295-4e27-948b-eed590dca9fa · outbound

This paper cites Spohn , Kinetic equations from Hamiltonian dynamics: Markovian li mits, Rev.

A Rigorous Derivation of the Hamiltonian Structure for the Nonlinear Schr\"odinger Equation Spohn , Kinetic equations from Hamiltonian dynamics: Markovian li mits, Rev

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:08:45.689424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 88388f27-7ecc-483a-82c7-c1a9b18e1b94 · outbound

This paper cites Trèves , Topological vector spaces, distributions and kernels , Academic Press, New York-London, 1967.

A Rigorous Derivation of the Hamiltonian Structure for the Nonlinear Schr\"odinger Equation Trèves , Topological vector spaces, distributions and kernels , Academic Press, New York-London, 1967

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:08:45.627437Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 2121e5bf-982a-4419-bd78-c51c728ad810 · outbound

This paper cites Xie , Derivation of a nonlinear Schrödinger equation with a gener al power-type nonlinearity in d = 1, 2, Diﬀerential Integral Equations, 28 (2015), pp.

A Rigorous Derivation of the Hamiltonian Structure for the Nonlinear Schr\"odinger Equation Xie , Derivation of a nonlinear Schrödinger equation with a gener al power-type nonlinearity in d = 1, 2, Diﬀerential Integral Equations, 28 (2015), pp

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:08:45.544554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 6970d769-b483-4bde-8ec5-6b2a9b193476 · outbound

This paper cites an unresolved cited work.

A Rigorous Derivation of the Hamiltonian Structure for the Nonlinear Schr\"odinger Equation Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:08:45.442234Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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