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Paper Citation Record · LEDGER

Long-term stability of driven quantum systems and the time-dependent Bloch equation

As of 21 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 1 inbound Pith citation observation for arXiv:2509.03639.

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

pith.paper-citation-record.v1
2509.03639 v1

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T10:54:50.087970Z

measured 41 of 41 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-12T00:00:58.822780Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

40 of 40 outbound references displayed

  • verified exact0
  • verified fuzzy30
  • unresolved9
  • parse uncertain0
  • malformed identifier1
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5b20fb31-2636-49b3-95db-2b058357bdce · outbound

This paper cites an unresolved cited work.

Long-term stability of driven quantum systems and the time-dependent Bloch equation Unresolved cited work

Reference 1

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 91883a0f-1a2e-4fd5-9145-4a729abf48c0 · outbound

This paper cites an unresolved cited work.

Long-term stability of driven quantum systems and the time-dependent Bloch equation Unresolved cited work

Reference 2

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation b6e7ded3-0002-49dd-a508-0c0664b8ce38 · outbound

This paper cites Aliferis and B.

Long-term stability of driven quantum systems and the time-dependent Bloch equation Aliferis and B

Reference 3

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation f6d4871e-d7fb-48a1-8017-5c0c5aba717d · outbound

This paper cites Motzoi, J.

Long-term stability of driven quantum systems and the time-dependent Bloch equation Motzoi, J

Reference 4

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 5de3232c-cbab-47b4-868c-a4fd22f79799 · outbound

This paper cites an unresolved cited work.

Long-term stability of driven quantum systems and the time-dependent Bloch equation Unresolved cited work

Reference 5

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 59a978fe-28d5-4b85-bb65-af139db49538 · outbound

This paper cites Kato, On the adiabatic theorem of quantum mechanics, Journal of the Physical Society of Japan 5, 435 (1950).

Long-term stability of driven quantum systems and the time-dependent Bloch equation Kato, On the adiabatic theorem of quantum mechanics, Journal of the Physical Society of Japan 5, 435 (1950)

Reference 6

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation cf850cbf-c2b5-40b9-aff1-bf78a39fc2e3 · outbound

This paper cites Burgarth, P.

Long-term stability of driven quantum systems and the time-dependent Bloch equation Burgarth, P

Reference 7

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raw_fallback, observed 2026-08-05T10:54:51.314275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T10:54:47.983592Z digest=sha256:4b83712a5d59b033e96a38d99ad0160e22fa1d2e7fddb081b42f4dbc36737ce2

Observation 2c251a9c-15c6-47b7-9db2-89585610aae3 · outbound

This paper cites Burgarth, P.

Long-term stability of driven quantum systems and the time-dependent Bloch equation Burgarth, P

Reference 8

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raw_fallback, observed 2026-08-05T10:54:51.295802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T10:54:48.041143Z digest=sha256:82ea2afe16bebc120c17ef083e4285164e37bb02be86c94cca4f26afaa8c9784

Observation 8ea230d7-6131-40c5-8063-fa3724e62b76 · outbound

This paper cites Szab´ o, S.

Long-term stability of driven quantum systems and the time-dependent Bloch equation Szab´ o, S

Reference 9

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raw_fallback, observed 2026-08-05T10:54:51.274288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 5fe67f96-6185-4a69-a8d6-94dc90a825e8 · outbound

This paper cites Facchi, M.

Long-term stability of driven quantum systems and the time-dependent Bloch equation Facchi, M

Reference 10

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raw_fallback, observed 2026-08-05T10:54:51.253797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 123ae25e-cb94-4ae5-adf0-f1267b618c65 · outbound

This paper cites Facchi and S.

Long-term stability of driven quantum systems and the time-dependent Bloch equation Facchi and S

Reference 11

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raw_fallback, observed 2026-08-05T10:54:51.234843Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T10:54:48.364007Z digest=sha256:0d6e3fa2c0eea5337be90ba5e913ce87c8b158ec2e3eb3df4c70ddb84e92b194

Observation e965bc59-59c9-4dff-a831-be5905f588c3 · outbound

This paper cites Facchi and M.

Long-term stability of driven quantum systems and the time-dependent Bloch equation Facchi and M

Reference 12

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verified fuzzy
raw_fallback, observed 2026-08-05T10:54:51.213696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T10:54:48.421557Z digest=sha256:55a1cad98a40532505310e1e8e833eef01306cd00f71da59f05af36ff867b45c

Observation db0c8a38-4eda-4282-a552-1748c8a0fe86 · outbound

This paper cites Venkatraman, X.

Long-term stability of driven quantum systems and the time-dependent Bloch equation Venkatraman, X

Reference 13

Resolution
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raw_fallback, observed 2026-08-05T10:54:51.195118Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T10:54:48.472703Z digest=sha256:6c3d045aa272224237dae4d48fb786f49371c8d78d5227923b2e08e6f108f3cc

Observation f5cca819-6534-4895-bc69-9c9824c07e7d · outbound

This paper cites Floquet, Sur les ´ equations diff´ erentielles lin´ eaires ` a coefficients p´ eriodiques, Annales scientifiques de l’´Ecole normale sup´ erieure12, 47 (1883).

Long-term stability of driven quantum systems and the time-dependent Bloch equation Floquet, Sur les ´ equations diff´ erentielles lin´ eaires ` a coefficients p´ eriodiques, Annales scientifiques de l’´Ecole normale sup´ erieure12, 47 (1883)

Reference 14

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 2abd5099-92c4-46d5-9e21-115735f4828e · outbound

This paper cites Schmidt, J.

Long-term stability of driven quantum systems and the time-dependent Bloch equation Schmidt, J

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:54:51.150926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation e14d73db-9069-46b5-aac0-8a3648ab2046 · outbound

This paper cites an unresolved cited work.

Long-term stability of driven quantum systems and the time-dependent Bloch equation Unresolved cited work

Reference 16

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raw_fallback, observed 2026-08-05T10:54:51.132768Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T10:54:48.603827Z digest=sha256:a41299c370f84cbc5279a3f5718c0fc258123bb6a446f31f13ee5e7cf37d96c2

Observation b34d54b4-a06f-4684-bbf5-4b78fc351c8e · outbound

This paper cites Bravyi, D.

Long-term stability of driven quantum systems and the time-dependent Bloch equation Bravyi, D

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:54:51.115294Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 0e45655f-ebfd-4dc6-b15f-3c4487ac0dc7 · outbound

This paper cites Goldin and Y.

Long-term stability of driven quantum systems and the time-dependent Bloch equation Goldin and Y

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:54:51.098281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 7b6c65fa-c259-467d-9242-cd63ffd84ff4 · outbound

This paper cites an unresolved cited work.

Long-term stability of driven quantum systems and the time-dependent Bloch equation Unresolved cited work

Reference 19

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raw_fallback, observed 2026-08-05T10:54:51.080450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation a60c3c08-8cf1-4926-be92-ff593a3ffdd3 · outbound

This paper cites Malekakhlagh, E.

Long-term stability of driven quantum systems and the time-dependent Bloch equation Malekakhlagh, E

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:54:51.061284Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T10:54:48.798510Z digest=sha256:a3cb23d92f8530f9336fe4a9bd6f5ff7ff0826b3485c008bdb0112a40997c750

Observation 7c64b215-b887-441f-855d-b23a8d34b9d2 · outbound

This paper cites Malekakhlagh, E.

Long-term stability of driven quantum systems and the time-dependent Bloch equation Malekakhlagh, E

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:54:51.038107Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T10:54:48.842240Z digest=sha256:249d509c359017e70fe783053e9add5930f1aea3cabc644861ce00f425aa541b

Observation aa086fbc-e915-4a47-ab5f-66f5ba856090 · outbound

This paper cites Bloch, Sur la th´ eorie des perturbations des ´ etats li´ es, Nuclear Physics 6, 329 (1958).

Long-term stability of driven quantum systems and the time-dependent Bloch equation Bloch, Sur la th´ eorie des perturbations des ´ etats li´ es, Nuclear Physics 6, 329 (1958)

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:54:51.016554Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 1361d314-73f4-48bb-98b2-207f7729245a · outbound

This paper cites an unresolved cited work.

Long-term stability of driven quantum systems and the time-dependent Bloch equation Unresolved cited work

Reference 23

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unresolved
raw_fallback, observed 2026-08-05T10:54:50.995240Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T10:54:48.913465Z digest=sha256:f705f3a5097fa5faef2bfe8bd1c61edf1e5662dcfe28efb3062dc0823aa842fa

Observation 336166dc-bb68-4708-b652-be40f208a996 · outbound

This paper cites Durand, Direct determination of effective Hamilto- nians by wave-operator methods.

Long-term stability of driven quantum systems and the time-dependent Bloch equation Durand, Direct determination of effective Hamilto- nians by wave-operator methods

Reference 24

Resolution
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raw_fallback, observed 2026-08-05T10:54:50.975909Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T10:54:48.979838Z digest=sha256:9ecb503946523c2a246d13f0764fcc3057bf60f0c3995ef64a037d81f23dc43a

Observation eb2308e4-afdc-41ec-b573-d557bb3f551f · outbound

This paper cites Jolicard, Effective hamiltonian theory: an intermedi- ate representation method for the wave operator calcula- tion, Chemical Physics 115, 57 (1987).

Long-term stability of driven quantum systems and the time-dependent Bloch equation Jolicard, Effective hamiltonian theory: an intermedi- ate representation method for the wave operator calcula- tion, Chemical Physics 115, 57 (1987)

Reference 25

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raw_fallback, observed 2026-08-05T10:54:50.953935Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 06b00a11-e707-4b02-9b0a-b22e70528cf6 · outbound

This paper cites Jolicard and E.

Long-term stability of driven quantum systems and the time-dependent Bloch equation Jolicard and E

Reference 26

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Observation 824b0be1-97a2-4563-95eb-0c10c4ffbb41 · outbound

This paper cites Jolicard, J.

Long-term stability of driven quantum systems and the time-dependent Bloch equation Jolicard, J

Reference 27

Resolution
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raw_fallback, observed 2026-08-05T10:54:50.907282Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation e6501c8c-dbcf-4203-8f35-69204fae93b0 · outbound

This paper cites Jolicard and J.

Long-term stability of driven quantum systems and the time-dependent Bloch equation Jolicard and J

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:54:50.886731Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T10:54:49.171834Z digest=sha256:895c3fed05ba28ec9d38d9a96509f46c8e717f0ff89b1e678f493406075ce8de

Observation 607a58be-ebce-464c-b947-0172fbab2a46 · outbound

This paper cites an unresolved cited work.

Long-term stability of driven quantum systems and the time-dependent Bloch equation Unresolved cited work

Reference 29

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unresolved
raw_fallback, observed 2026-08-05T10:54:50.868134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T10:54:49.225219Z digest=sha256:0e8910abf9415c0798ad473ff0eac98ddff8b97a6798b1290fbce63d268a733b

Observation 5a96f1a6-88a8-4da0-9201-e363fcd60dc9 · outbound

This paper cites Nenciu, Linear adiabatic theory.

Long-term stability of driven quantum systems and the time-dependent Bloch equation Nenciu, Linear adiabatic theory

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:54:50.851130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T10:54:49.254811Z digest=sha256:840250b4e082e62a51da77c3c7fe74efb9327187db13c9f978d3544382fc5cfb

Observation 6305f6a8-2fcd-4ca4-9900-461e322a2100 · outbound

This paper cites Burgarth, P.

Long-term stability of driven quantum systems and the time-dependent Bloch equation Burgarth, P

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:54:50.826735Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T10:54:49.327469Z digest=sha256:a27180cf08fa6923ffd2301b120e32a4e85ec9b1bb4b8fdb0e0c22599f98b757

Observation 21323583-029b-4bae-9eb3-955dc67112e4 · outbound

This paper cites Gaeta, ed., Perturbation theory: mathematics, meth- ods and applications (Springer, New York, NY, 2022) oCLC: 1357257929.

Long-term stability of driven quantum systems and the time-dependent Bloch equation Gaeta, ed., Perturbation theory: mathematics, meth- ods and applications (Springer, New York, NY, 2022) oCLC: 1357257929

Reference 32

Resolution
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raw_fallback, observed 2026-08-05T10:54:50.809375Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T10:54:49.418172Z digest=sha256:eedc7fe423dd537d294ef46972a65b64156d73624be681ccebe3de7ad92e354f

Observation 2e5b9023-aa5a-4413-9a30-e31ab52a0c9f · outbound

This paper cites Abou-Kandil, G.

Long-term stability of driven quantum systems and the time-dependent Bloch equation Abou-Kandil, G

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:54:50.790341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T10:54:49.490913Z digest=sha256:3a946a776cfbb57ca9b680fbf1d5101dc2b9613fd926b6c998ce6f22205804ec

Observation 7f8047ed-34aa-47c4-ad29-6d73bbc75176 · outbound

This paper cites Jolicard, Effective Hamiltonian Theory and Molecular Dynamics, Annual Review of Physical Chemistry 46, 83 (1995).

Long-term stability of driven quantum systems and the time-dependent Bloch equation Jolicard, Effective Hamiltonian Theory and Molecular Dynamics, Annual Review of Physical Chemistry 46, 83 (1995)

Reference 34

Resolution
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raw_fallback, observed 2026-08-05T10:54:50.772359Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T10:54:49.603989Z digest=sha256:978f3a48534f2047aaa50b37af7ddcc1ecfc975048f43cd8a2db0d04de8c3c20

Observation b3eda3a9-a4ca-485d-a51f-efea146a19e8 · outbound

This paper cites Zeener, Non-adiabatic crossing of energy levels, Proceedings of the Royal Society of London.

Long-term stability of driven quantum systems and the time-dependent Bloch equation Zeener, Non-adiabatic crossing of energy levels, Proceedings of the Royal Society of London

Reference 35

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raw_fallback, observed 2026-08-05T10:54:50.753269Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation d6ed843e-8368-473b-b4fe-65126f762a25 · outbound

This paper cites an unresolved cited work.

Long-term stability of driven quantum systems and the time-dependent Bloch equation Unresolved cited work

Reference 36

Resolution
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 9a4c52c8-eebd-49ff-850d-ed3194a72e58 · outbound

This paper cites Matus, J.

Long-term stability of driven quantum systems and the time-dependent Bloch equation Matus, J

Reference 37

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 5244d978-3d2e-46d1-b757-8bf397ba62fc · outbound

This paper cites an unresolved cited work.

Long-term stability of driven quantum systems and the time-dependent Bloch equation Unresolved cited work

Reference 38

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 4392eedf-903e-4313-9df0-7751acb801d2 · outbound

This paper cites an unresolved cited work.

Long-term stability of driven quantum systems and the time-dependent Bloch equation Unresolved cited work

Reference 39

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 178d391a-be52-423b-958b-af2b71ce9171 · outbound

This paper cites Abou-Kandil, Matrix Riccati Equations in Con- trol and Systems Theory , 1st ed., Systems & Control: Foundations & Applications (Birkh¨ auser Basel, Basel, 2003).

Long-term stability of driven quantum systems and the time-dependent Bloch equation Abou-Kandil, Matrix Riccati Equations in Con- trol and Systems Theory , 1st ed., Systems & Control: Foundations & Applications (Birkh¨ auser Basel, Basel, 2003)

Reference 40

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Pith citing papers

Observation d5434d99-66ba-4de0-974f-ddc4d26746c9 · inbound

Gorini-Kossakowski-Sudarshan-Lindblad equation in different bases: application to driven-dissipative two- and multilevel systems cites this paper.

Gorini-Kossakowski-Sudarshan-Lindblad equation in different bases: application to driven-dissipative two- and multilevel systems Long-term stability of driven quantum systems and the time-dependent Bloch equation

Reference 24

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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