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Paper Citation Record · LEDGER

Quantum Dynamics of a Particle in a Linear Potential: Invariant Operator Approach and Discrete Spectrum Solutions

As of 19 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 0 inbound Pith citation observations for arXiv:2606.02112.

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

pith.paper-citation-record.v1
2606.02112 v1

Coverage vector

measured 11 of 11 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-28T14:33:07.650333Z

measured 11 of 11 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

11 of 11 outbound references displayed

  • verified exact10
  • verified fuzzy0
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d19384e1-7da8-4652-be42-9866754e2d3a · outbound

This paper cites Nonspreading wave packets,.

Quantum Dynamics of a Particle in a Linear Potential: Invariant Operator Approach and Discrete Spectrum Solutions Nonspreading wave packets,

Reference 1

Resolution
verified exact
doi, observed 2026-06-28T14:42:18.076621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-28T14:33:07.650333Z digest=sha256:0b7f4e5a72518d945e1571f55cda29d10e5ee7554e781f9648d98a44c922ccba

Observation e12340e0-0744-4776-aaac-8029e18ceaf3 · outbound

This paper cites an unresolved cited work.

Quantum Dynamics of a Particle in a Linear Potential: Invariant Operator Approach and Discrete Spectrum Solutions Unresolved cited work

Reference 2

Resolution
verified exact
doi, observed 2026-06-28T14:42:18.075482Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-28T14:33:07.650333Z digest=sha256:c53fcda3d537420892cb7b5bb1089392a5885023e574c7dbea955346a2de6767

Observation c8108a3d-972a-461c-9a44-d480bb2c75eb · outbound

This paper cites Guedes, Solution of the Schr¨ odinger Equation for the Time-Dependent Linear Potential, Phys.

Quantum Dynamics of a Particle in a Linear Potential: Invariant Operator Approach and Discrete Spectrum Solutions Guedes, Solution of the Schr¨ odinger Equation for the Time-Dependent Linear Potential, Phys

Reference 3

Resolution
verified exact
doi, observed 2026-06-28T14:42:18.088511Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-28T14:33:07.650333Z digest=sha256:bd36e4c95095852a6e8099a2073d1a8f8e33f07c25a054d86fb51699225850e7

Observation 6e200acb-3004-4d29-9396-0af7f510f415 · outbound

This paper cites Feng, Complete Exact Solutions for the Time-Dependent Linear Potential, Phys.

Quantum Dynamics of a Particle in a Linear Potential: Invariant Operator Approach and Discrete Spectrum Solutions Feng, Complete Exact Solutions for the Time-Dependent Linear Potential, Phys

Reference 4

Resolution
verified exact
doi, observed 2026-06-28T14:42:18.086783Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-28T14:33:07.650333Z digest=sha256:612193c8ca081b5769d876f1631e5897bda541bae3b46dcd291879cfa46b76cc

Observation fed86fa3-bc6b-48f4-b0b1-7101f39614bd · outbound

This paper cites Bauer, Comment on ‘Solution of the Schr¨ odinger Equation for the Time-Dependent Linear Potential’, Phys.

Quantum Dynamics of a Particle in a Linear Potential: Invariant Operator Approach and Discrete Spectrum Solutions Bauer, Comment on ‘Solution of the Schr¨ odinger Equation for the Time-Dependent Linear Potential’, Phys

Reference 5

Resolution
verified exact
doi, observed 2026-06-28T14:42:18.083309Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-28T14:33:07.650333Z digest=sha256:9a59ef473096bb6411a2b95f6c2bae1f25a2be7d73a2fd5c4dd0f934fd16a3be

Observation 513db99d-c726-4aa5-9daa-568186005684 · outbound

This paper cites Bekkar, F.

Quantum Dynamics of a Particle in a Linear Potential: Invariant Operator Approach and Discrete Spectrum Solutions Bekkar, F

Reference 6

Resolution
verified exact
doi, observed 2026-06-28T14:42:18.087504Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-28T14:33:07.650333Z digest=sha256:1729755cf5570721e09f71cda4ce20415f3f9746258bc30fcd2f779b8f531c87

Observation 2fab2f7b-574b-4996-b92c-7f4499a1a15c · outbound

This paper cites an unresolved cited work.

Quantum Dynamics of a Particle in a Linear Potential: Invariant Operator Approach and Discrete Spectrum Solutions Unresolved cited work

Reference 7

Resolution
verified exact
doi, observed 2026-06-28T14:42:18.085845Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-28T14:33:07.650333Z digest=sha256:24ecafd13947434ff31fc94541c2c819ae225ea7dcd8f0450c11727b2bee79ed

Observation 0b66a47f-3fd3-4a09-9cc3-deb62bd1a9bf · outbound

This paper cites an unresolved cited work.

Quantum Dynamics of a Particle in a Linear Potential: Invariant Operator Approach and Discrete Spectrum Solutions Unresolved cited work

Reference 8

Resolution
verified exact
doi, observed 2026-06-28T14:42:18.084982Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-28T14:33:07.650333Z digest=sha256:4396e3ec1d3b44e7744c46dafb34210b49236a4f755bdcf3989bab3e367329cf

Observation 5fc703b2-bc00-40eb-a4db-a58fe60b5daa · outbound

This paper cites an unresolved cited work.

Quantum Dynamics of a Particle in a Linear Potential: Invariant Operator Approach and Discrete Spectrum Solutions Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-06-28T14:33:07.650333Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-28T14:33:07.650333Z digest=sha256:e7ca0c25c410d775a2c5950e918d0683f006d091bcc5853388b289c299d9d658

Observation 00ad6f58-98a6-4115-aa82-f0a00ed650d4 · outbound

This paper cites an unresolved cited work.

Quantum Dynamics of a Particle in a Linear Potential: Invariant Operator Approach and Discrete Spectrum Solutions Unresolved cited work

Reference 10

Resolution
verified exact
doi, observed 2026-06-28T14:42:18.080222Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-28T14:33:07.650333Z digest=sha256:7d1c94af256e53efd5ae6fc225561e3c5d04839b364a4a2e859fa551fff9db06

Observation 48882c80-687c-4b48-8393-d01f6f38fd64 · outbound

This paper cites Lewis, H.

Quantum Dynamics of a Particle in a Linear Potential: Invariant Operator Approach and Discrete Spectrum Solutions Lewis, H

Reference 11

Resolution
verified exact
doi, observed 2026-06-28T14:42:18.082277Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-28T14:33:07.650333Z digest=sha256:6fad76de8990321c4a5e524c1be1e5c8ed530f26978b5ae417e7ef2c0e8670de

Pith citing papers

No inbound Pith citation observations are available.