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Paper Citation Record · LEDGER

High Order Finite Difference Schemes for the Transparent Boundary Conditions and Their Applications in the 1D Schr\"odinger-Poisson Problem

As of 13 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2411.13175.

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

pith.paper-citation-record.v1
2411.13175 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T16:52:53.766499Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

23 of 23 outbound references displayed

  • verified exact12
  • verified fuzzy3
  • unresolved6
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 82caabf3-7cdd-4a53-a93a-a034e1e70cf0 · outbound

This paper cites Mathematical concepts of open quantum boun dary conditions.

High Order Finite Difference Schemes for the Transparent Boundary Conditions and Their Applications in the 1D Schr\"odinger-Poisson Problem Mathematical concepts of open quantum boun dary conditions

Reference 1

Resolution
verified exact
doi, observed 2026-08-12T16:52:53.968419Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation f2cb2616-ef53-4871-9b2f-e4d6fbaf36b5 · outbound

This paper cites On a one-dimensional Schr¨ odinger-Poisson scattering model.

High Order Finite Difference Schemes for the Transparent Boundary Conditions and Their Applications in the 1D Schr\"odinger-Poisson Problem On a one-dimensional Schr¨ odinger-Poisson scattering model

Reference 2

Resolution
verified exact
doi, observed 2026-08-12T16:52:53.956661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 5e7712ba-396e-461f-9c82-657a35264328 · outbound

This paper cites an unresolved cited work.

High Order Finite Difference Schemes for the Transparent Boundary Conditions and Their Applications in the 1D Schr\"odinger-Poisson Problem Unresolved cited work

Reference 3

Resolution
verified exact
doi, observed 2026-08-12T16:52:53.943532Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 0339b89f-f46d-4b80-9d2a-933fb61864f4 · outbound

This paper cites Datta, F.

High Order Finite Difference Schemes for the Transparent Boundary Conditions and Their Applications in the 1D Schr\"odinger-Poisson Problem Datta, F

Reference 4

Resolution
verified exact
raw_fallback, observed 2026-08-12T16:52:54.282867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 806f9fa3-f5af-4da0-9fa2-b1724745c9a0 · outbound

This paper cites Nanoscale device modeling: the Green’s fu nction method.

High Order Finite Difference Schemes for the Transparent Boundary Conditions and Their Applications in the 1D Schr\"odinger-Poisson Problem Nanoscale device modeling: the Green’s fu nction method

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-12T16:52:53.696406Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T16:52:53.696406Z digest=sha256:eda1580ba8e46c29a19428a8ce9c85f9b58743345567534f74a9375945486f0a

Observation a6b35944-7945-4529-b4fd-a9b538eaaf68 · outbound

This paper cites Quantum transport i n ultrasmall electronic devices.

High Order Finite Difference Schemes for the Transparent Boundary Conditions and Their Applications in the 1D Schr\"odinger-Poisson Problem Quantum transport i n ultrasmall electronic devices

Reference 6

Resolution
verified exact
doi, observed 2026-08-12T16:52:53.931500Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 845e1c14-0f73-48a4-a0a3-859b7ef9d336 · outbound

This paper cites Frensley.

High Order Finite Difference Schemes for the Transparent Boundary Conditions and Their Applications in the 1D Schr\"odinger-Poisson Problem Frensley

Reference 7

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verified exact
doi, observed 2026-08-12T16:52:53.918898Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 42421b5e-010e-4d20-a5c6-d6e66ec039c4 · outbound

This paper cites an unresolved cited work.

High Order Finite Difference Schemes for the Transparent Boundary Conditions and Their Applications in the 1D Schr\"odinger-Poisson Problem Unresolved cited work

Reference 8

Resolution
verified exact
doi, observed 2026-08-12T16:52:53.906358Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:52:53.709176Z digest=sha256:63fc1ea89d58972cc07bc7d7043606580d2ca448153b9bdabb0e5c0696f92be2

Observation 4bee43b2-cd0b-464a-94f0-4064c1483f8d · outbound

This paper cites Bou ndary treatments in non-equilibrium Green’s function (NEGF) methods for quantum transport in na no-MOSFETs.

High Order Finite Difference Schemes for the Transparent Boundary Conditions and Their Applications in the 1D Schr\"odinger-Poisson Problem Bou ndary treatments in non-equilibrium Green’s function (NEGF) methods for quantum transport in na no-MOSFETs

Reference 9

Resolution
verified exact
doi, observed 2026-08-12T16:52:53.893019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation a370f79b-ea92-4798-9fe9-f364eb74d995 · outbound

This paper cites Chris Bowen, and Dejan Jo vanovic.

High Order Finite Difference Schemes for the Transparent Boundary Conditions and Their Applications in the 1D Schr\"odinger-Poisson Problem Chris Bowen, and Dejan Jo vanovic

Reference 10

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verified fuzzy
raw_fallback, observed 2026-08-12T16:52:54.325305Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 9bd4764e-5951-4589-a3b7-7e6803c0a3f9 · outbound

This paper cites an unresolved cited work.

High Order Finite Difference Schemes for the Transparent Boundary Conditions and Their Applications in the 1D Schr\"odinger-Poisson Problem Unresolved cited work

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-12T16:52:53.724331Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T16:52:53.724331Z digest=sha256:0b69c588b45f634951f02424b3ad72b66db68b418a68018d4e4cfc6ddfac7515

Observation 74c10b6b-361e-41c4-af6a-f6d72b17025f · outbound

This paper cites A new class of central compact schemes with spectral-like resolution I: Linear schemes.

High Order Finite Difference Schemes for the Transparent Boundary Conditions and Their Applications in the 1D Schr\"odinger-Poisson Problem A new class of central compact schemes with spectral-like resolution I: Linear schemes

Reference 12

Resolution
verified exact
doi, observed 2026-08-12T16:52:53.864870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation a8c6935b-00f7-4a16-bbc4-4b6ca9e0f4be · outbound

This paper cites an unresolved cited work.

High Order Finite Difference Schemes for the Transparent Boundary Conditions and Their Applications in the 1D Schr\"odinger-Poisson Problem Unresolved cited work

Reference 13

Resolution
metadata mismatch
raw_fallback, observed 2026-08-12T16:52:54.147624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:52:53.732133Z digest=sha256:42b0b3c8d905b79b4f1ac98e52451d284e5f6f08d82b5b5f6a642ef9708bca99

Observation 580340a4-2289-48cd-b6ca-5d3bf441ab53 · outbound

This paper cites Transient Schr¨ odinger–Poisson simula- tions of a high-frequency resonant tunneling diode oscilla tor.

High Order Finite Difference Schemes for the Transparent Boundary Conditions and Their Applications in the 1D Schr\"odinger-Poisson Problem Transient Schr¨ odinger–Poisson simula- tions of a high-frequency resonant tunneling diode oscilla tor

Reference 14

Resolution
verified exact
doi, observed 2026-08-12T16:52:53.852536Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation a6b36a5b-6320-4fcb-a580-5bfc895a358f · outbound

This paper cites Transient simulations of a resonant tun neling diode.

High Order Finite Difference Schemes for the Transparent Boundary Conditions and Their Applications in the 1D Schr\"odinger-Poisson Problem Transient simulations of a resonant tun neling diode

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:52:54.311444Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T16:52:53.739703Z digest=sha256:b72dac8b06d1503e98d0a4c4733e35f59f1873f412b1f73061485dee374dd9b9

Observation af048eba-16aa-4bd4-8391-eb6f4835db80 · outbound

This paper cites an unresolved cited work.

High Order Finite Difference Schemes for the Transparent Boundary Conditions and Their Applications in the 1D Schr\"odinger-Poisson Problem Unresolved cited work

Reference 16

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unresolved
no resolver link, observed 2026-08-12T16:52:53.746773Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T16:52:53.746773Z digest=sha256:090ad63fcd5b8b966240f7ab99d2f84dd11bd67b953e400c1fcc2b3a0d271770

Observation f24bb5be-2205-4ea4-97da-4081c05057f2 · outbound

This paper cites V enugopal, S.

High Order Finite Difference Schemes for the Transparent Boundary Conditions and Their Applications in the 1D Schr\"odinger-Poisson Problem V enugopal, S

Reference 17

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unresolved
no resolver link, observed 2026-08-12T16:52:53.750540Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T16:52:53.750540Z digest=sha256:a56569ca4a8178a248768433592b9d0a5da4e2dacc93f6c5502ca7d21ed5e2d2

Observation 3c92f593-03b8-498d-8820-a5d046586a08 · outbound

This paper cites Tsu and L.

High Order Finite Difference Schemes for the Transparent Boundary Conditions and Their Applications in the 1D Schr\"odinger-Poisson Problem Tsu and L

Reference 18

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unresolved
no resolver link, observed 2026-08-12T16:52:53.754617Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T16:52:53.754617Z digest=sha256:1ed6c14d90328e89060bb8e5247d569291d70d94fa16d8bdf716323600deaadd

Observation 7b095a89-2498-4e53-9515-0a399baf7ead · outbound

This paper cites Room temperature observation of di fferen- tial negative resistance in an AlAs/GaAs/AlAs resonant tunneling diode.

High Order Finite Difference Schemes for the Transparent Boundary Conditions and Their Applications in the 1D Schr\"odinger-Poisson Problem Room temperature observation of di fferen- tial negative resistance in an AlAs/GaAs/AlAs resonant tunneling diode

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T16:52:54.298662Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 802adc75-59a4-4b08-912c-2ec15fc19a02 · outbound

This paper cites A simple analyt ical model for the resonant tunneling diode based on the transmission peak and scattering effect.

High Order Finite Difference Schemes for the Transparent Boundary Conditions and Their Applications in the 1D Schr\"odinger-Poisson Problem A simple analyt ical model for the resonant tunneling diode based on the transmission peak and scattering effect

Reference 20

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verified exact
doi, observed 2026-08-12T16:52:53.802232Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 22945e27-a62e-4399-b37f-ad2f5f20d021 · outbound

This paper cites an unresolved cited work.

High Order Finite Difference Schemes for the Transparent Boundary Conditions and Their Applications in the 1D Schr\"odinger-Poisson Problem Unresolved cited work

Reference 1985

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T16:52:53.762604Z digest=sha256:defa4ac0db820079859e9c2341e71c37f96fbcb527302bbb47b99a4b0d607472

Observation ff02074f-1a15-435f-bd83-2b1ae257cfde · outbound

This paper cites an unresolved cited work.

High Order Finite Difference Schemes for the Transparent Boundary Conditions and Their Applications in the 1D Schr\"odinger-Poisson Problem Unresolved cited work

Reference 1997

Resolution
unresolved
no resolver link, observed 2026-08-12T16:52:53.720553Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T16:52:53.720553Z digest=sha256:865f0e09ebcb8837add144caa449ff6ec759e7a681d35ca4bd448e43dfc8a113

Observation 2a6f1a69-0a6d-4123-98b0-8dd48bf852f3 · outbound

This paper cites an unresolved cited work.

High Order Finite Difference Schemes for the Transparent Boundary Conditions and Their Applications in the 1D Schr\"odinger-Poisson Problem Unresolved cited work

Reference 2002

Resolution
verified exact
doi, observed 2026-08-12T16:52:53.839615Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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No inbound Pith citation observations are available.