Paper Citation Record · LEDGER

Finite-temperature dynamics of a Tonks-Girardeau gas in a frequency-modulated harmonic trap

As of 16 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 0 inbound Pith citation observations for arXiv:1908.01291.

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

pith.paper-citation-record.v1
1908.01291 v1

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:27:01.877389Z

measured 43 of 43 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

43 of 43 outbound references displayed

verified exact0
verified fuzzy15
unresolved28
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malformed identifier0
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External citation measurements

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Outbound references

Observation 636c1eb0-012d-4c3d-9950-b1ae37e7fa26 · outbound

This paper cites Con- sequently, the fundamental solution (28) is not neces- sarily a real function.

Finite-temperature dynamics of a Tonks-Girardeau gas in a frequency-modulated harmonic trap Con- sequently, the fundamental solution (28) is not neces- sarily a real function

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:27:02.602370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation cd522c6b-cbe8-4742-b2f6-5f853e20d29d · outbound

This paper cites an unresolved cited work.

Finite-temperature dynamics of a Tonks-Girardeau gas in a frequency-modulated harmonic trap Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:27:02.618425Z

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Observation 58c4a077-4df8-468f-8cc6-07ed4ac46215 · outbound

This paper cites an unresolved cited work.

Finite-temperature dynamics of a Tonks-Girardeau gas in a frequency-modulated harmonic trap Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:27:02.583258Z

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Observation 54deaf5a-4f9c-4c5a-b246-dceb53966857 · outbound

This paper cites The real valued even and odd solutions take the following form: C(a,q,τ ) = ∞∑ n=−∞ cn cos ((2n +ν)τ), (C7) S(a,q,τ ) = ∞∑ n=−∞ cn sin ((2n +ν)τ), (C8) with 0 < ν < 1.

Finite-temperature dynamics of a Tonks-Girardeau gas in a frequency-modulated harmonic trap The real valued even and odd solutions take the following form: C(a,q,τ ) = ∞∑ n=−∞ cn cos ((2n +ν)τ), (C7) S(a,q,τ ) = ∞∑ n=−∞ cn sin ((2n +ν)τ), (C8) with 0 < ν < 1

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:27:02.562816Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6b08ac0e-a06a-4e1d-9293-9db54a016b0a · outbound

This paper cites The second independent solution is con- structed following a diﬀerent scheme compared to the ones discussed previously.

Finite-temperature dynamics of a Tonks-Girardeau gas in a frequency-modulated harmonic trap The second independent solution is con- structed following a diﬀerent scheme compared to the ones discussed previously

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:27:02.544172Z

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Observation 958145c9-5c89-4bcd-85a4-39d2b3f0cdf7 · outbound

This paper cites Girardeau, Journal of Mathematical Physics 1, 516 (1960).

Finite-temperature dynamics of a Tonks-Girardeau gas in a frequency-modulated harmonic trap Girardeau, Journal of Mathematical Physics 1, 516 (1960)

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-14T15:27:01.684400Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 99e9f907-0f2a-4246-a914-3ead487be5be · outbound

This paper cites Paredes, A.

Finite-temperature dynamics of a Tonks-Girardeau gas in a frequency-modulated harmonic trap Paredes, A

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-14T15:27:01.689743Z

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Observation 6001022c-999e-4119-a6ee-cabfa2a8a0f5 · outbound

This paper cites Kinoshita, T.

Finite-temperature dynamics of a Tonks-Girardeau gas in a frequency-modulated harmonic trap Kinoshita, T

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-14T15:27:01.694550Z

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Observation b3d532a1-1178-4cef-b2ba-2951f0c6ea71 · outbound

This paper cites Kinoshita, T.

Finite-temperature dynamics of a Tonks-Girardeau gas in a frequency-modulated harmonic trap Kinoshita, T

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-14T15:27:01.700302Z

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Observation 4a142c95-a0b2-4ea6-af55-46b8f3099469 · outbound

This paper cites Haller, M.

Finite-temperature dynamics of a Tonks-Girardeau gas in a frequency-modulated harmonic trap Haller, M

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:27:02.475839Z

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Observation dde9a4ff-5ea4-45e8-a962-d95834f61b7e · outbound

This paper cites Meinert, M.

Finite-temperature dynamics of a Tonks-Girardeau gas in a frequency-modulated harmonic trap Meinert, M

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:27:02.457059Z

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Observation da4d5dd9-b9b9-4df5-aa28-d0fe56f53b44 · outbound

This paper cites Bloch, J.

Finite-temperature dynamics of a Tonks-Girardeau gas in a frequency-modulated harmonic trap Bloch, J

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-14T15:27:01.715507Z

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Observation eb843582-7e44-45e2-8b7b-dcb62a4d7933 · outbound

This paper cites an unresolved cited work.

Finite-temperature dynamics of a Tonks-Girardeau gas in a frequency-modulated harmonic trap Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-14T15:27:01.720265Z

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Observation b0baa75b-6ad2-45ac-98d8-55cc8083c0cd · outbound

This paper cites Polkovnikov, K.

Finite-temperature dynamics of a Tonks-Girardeau gas in a frequency-modulated harmonic trap Polkovnikov, K

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-14T15:27:01.725575Z

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Observation a58d3bbb-82be-49ab-9fc5-d12bf70083f5 · outbound

This paper cites an unresolved cited work.

Finite-temperature dynamics of a Tonks-Girardeau gas in a frequency-modulated harmonic trap Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-14T15:27:01.730322Z

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Observation e4f9feeb-c44d-4f87-b1cb-b23ae8446824 · outbound

This paper cites Lamacraft and J.

Finite-temperature dynamics of a Tonks-Girardeau gas in a frequency-modulated harmonic trap Lamacraft and J

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:27:02.388144Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation fb03f5f8-cb86-45a8-937d-d340e1c149bf · outbound

This paper cites Husimi, Progress of Theoretical Physics 9, 381 (1953).

Finite-temperature dynamics of a Tonks-Girardeau gas in a frequency-modulated harmonic trap Husimi, Progress of Theoretical Physics 9, 381 (1953)

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-14T15:27:01.740588Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d467998d-d87c-4f2f-a48f-28ca91c72d95 · outbound

This paper cites an unresolved cited work.

Finite-temperature dynamics of a Tonks-Girardeau gas in a frequency-modulated harmonic trap Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:27:02.354161Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 9f9eb3ee-262a-4fb2-b91f-e3067971c1d8 · outbound

This paper cites an unresolved cited work.

Finite-temperature dynamics of a Tonks-Girardeau gas in a frequency-modulated harmonic trap Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:27:02.333586Z

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Observation 7d6beb5c-f14a-4e03-8c28-2411573770be · outbound

This paper cites an unresolved cited work.

Finite-temperature dynamics of a Tonks-Girardeau gas in a frequency-modulated harmonic trap Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:27:02.316997Z

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Observation 5adeae7c-2531-4127-a02f-48efd2cc2279 · outbound

This paper cites Hnggi and C.

Finite-temperature dynamics of a Tonks-Girardeau gas in a frequency-modulated harmonic trap Hnggi and C

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:27:02.300303Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 976481f3-5b32-473d-916d-17fc00466b28 · outbound

This paper cites Kohler, T.

Finite-temperature dynamics of a Tonks-Girardeau gas in a frequency-modulated harmonic trap Kohler, T

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-14T15:27:01.767169Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 25ff50e4-b0bc-4285-a614-b7a601703db1 · outbound

This paper cites Zerbe, P.

Finite-temperature dynamics of a Tonks-Girardeau gas in a frequency-modulated harmonic trap Zerbe, P

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-14T15:27:01.772102Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 21b168eb-bf08-4834-a96d-892e06529a2f · outbound

This paper cites Thorwart, P.

Finite-temperature dynamics of a Tonks-Girardeau gas in a frequency-modulated harmonic trap Thorwart, P

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:27:02.257475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation ccb4b646-e9ab-415f-8cc7-b79d3f1f9097 · outbound

This paper cites Quinn and M.

Finite-temperature dynamics of a Tonks-Girardeau gas in a frequency-modulated harmonic trap Quinn and M

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:27:02.239460Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation ac321711-0a5b-48fc-b148-9d11a8da1300 · outbound

This paper cites Mathieu, Journal de Math´ ematiques Pures et Ap- pliqu´ ees13, 137 (1868).

Finite-temperature dynamics of a Tonks-Girardeau gas in a frequency-modulated harmonic trap Mathieu, Journal de Math´ ematiques Pures et Ap- pliqu´ ees13, 137 (1868)

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:27:02.222561Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 7a45b4ff-027f-4290-a796-1901f5d4f2f0 · outbound

This paper cites McLachlan, Theory and Application of Mathieu Func- tions, Dover Publications (Dover, 1964).

Finite-temperature dynamics of a Tonks-Girardeau gas in a frequency-modulated harmonic trap McLachlan, Theory and Application of Mathieu Func- tions, Dover Publications (Dover, 1964)

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:27:02.205456Z

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Observation 3a93a846-bede-4f58-88a3-a458395f3d4b · outbound

This paper cites an unresolved cited work.

Finite-temperature dynamics of a Tonks-Girardeau gas in a frequency-modulated harmonic trap Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:27:02.187250Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 26a798c5-bcf1-47d8-8e65-b0e7b43742df · outbound

This paper cites an unresolved cited work.

Finite-temperature dynamics of a Tonks-Girardeau gas in a frequency-modulated harmonic trap Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:27:02.168424Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation bf243b8f-b5af-4865-addc-f3625cf81c7c · outbound

This paper cites an unresolved cited work.

Finite-temperature dynamics of a Tonks-Girardeau gas in a frequency-modulated harmonic trap Unresolved cited work

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-14T15:27:01.806588Z

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Unavailable: canonical work link unavailable.

Observation 02f5d7ce-3f99-449e-bc73-a092cb284e38 · outbound

This paper cites Bouchoule, S.

Finite-temperature dynamics of a Tonks-Girardeau gas in a frequency-modulated harmonic trap Bouchoule, S

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:27:02.138164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 8d9ea22a-c128-4a28-97ca-86f34d599ab0 · outbound

This paper cites Minguzzi and D.

Finite-temperature dynamics of a Tonks-Girardeau gas in a frequency-modulated harmonic trap Minguzzi and D

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-14T15:27:01.817771Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 06e90394-1d15-49aa-92b8-e8d51e7794c6 · outbound

This paper cites an unresolved cited work.

Finite-temperature dynamics of a Tonks-Girardeau gas in a frequency-modulated harmonic trap Unresolved cited work

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-14T15:27:01.822455Z

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Observation 43fe5e3f-e239-4eef-8933-d99149b1ad09 · outbound

This paper cites Pinney, Proc.

Finite-temperature dynamics of a Tonks-Girardeau gas in a frequency-modulated harmonic trap Pinney, Proc

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-14T15:27:01.827794Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 36413688-ef99-4635-99fa-18a3f9315db7 · outbound

This paper cites an unresolved cited work.

Finite-temperature dynamics of a Tonks-Girardeau gas in a frequency-modulated harmonic trap Unresolved cited work

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-14T15:27:01.832552Z

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Observation b25c9f93-e4d3-4512-8dd0-084dd2239b91 · outbound

This paper cites an unresolved cited work.

Finite-temperature dynamics of a Tonks-Girardeau gas in a frequency-modulated harmonic trap Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:27:02.070160Z

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Observation 74a1b8ca-a6d3-46e5-b9aa-f20673686028 · outbound

This paper cites an unresolved cited work.

Finite-temperature dynamics of a Tonks-Girardeau gas in a frequency-modulated harmonic trap Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:27:02.049308Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation df09db4b-d505-4a25-847a-29b4ff5984ee · outbound

This paper cites Popov and A.

Finite-temperature dynamics of a Tonks-Girardeau gas in a frequency-modulated harmonic trap Popov and A

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:27:02.019300Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 42858a0f-a96d-4854-a4c9-83dd0d9ad233 · outbound

This paper cites Perelomov and Y.

Finite-temperature dynamics of a Tonks-Girardeau gas in a frequency-modulated harmonic trap Perelomov and Y

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:27:01.996670Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation b1071ae6-8736-4932-bcc6-2b00e52fe406 · outbound

This paper cites an unresolved cited work.

Finite-temperature dynamics of a Tonks-Girardeau gas in a frequency-modulated harmonic trap Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:27:01.979213Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 670138bf-c8f1-41e2-ba46-9eaee5988a08 · outbound

This paper cites an unresolved cited work.

Finite-temperature dynamics of a Tonks-Girardeau gas in a frequency-modulated harmonic trap Unresolved cited work

Reference 41

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:27:01.957983Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation d1bcd1c6-cbf0-424a-a1a1-f77a086d0c90 · outbound

This paper cites Bell, Glasgow Mathematical Journal 3, 132 (1957).

Finite-temperature dynamics of a Tonks-Girardeau gas in a frequency-modulated harmonic trap Bell, Glasgow Mathematical Journal 3, 132 (1957)

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:27:01.939444Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation b78784ab-b4cb-4fcb-a252-d8f3bd64af3d · outbound

This paper cites an unresolved cited work.

Finite-temperature dynamics of a Tonks-Girardeau gas in a frequency-modulated harmonic trap Unresolved cited work

Reference 43

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:27:01.920788Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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