Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T12:45:29.717116Z
Paper Citation Record · LEDGER
A purely geometrical Aharonov-Bohm effect
As of 15 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 0 inbound Pith citation observations for arXiv:2412.13919.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
49 of 49 outbound references displayed
- verified exact0
- verified fuzzy34
- unresolved14
- parse uncertain1
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 0421759b-5366-4c0d-9df4-8978d0d7b656 · outbound
This paper cites an unresolved cited work.
A purely geometrical Aharonov-Bohm effect Unresolved cited work
Reference 1
- Resolution
- parse uncertain
- raw_fallback, observed 2026-08-11T12:45:30.409206Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 70786108-9137-45c9-9b91-fe4828114360 · outbound
This paper cites an unresolved cited work.
A purely geometrical Aharonov-Bohm effect Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T12:45:30.395738Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 0089653c-f760-430e-b5a9-8dc2c76b8181 · outbound
This paper cites Covariant.
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T12:45:30.381315Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 2862b3c2-fe46-497c-a455-03e1b0707ccc · outbound
This paper cites The corresponding Hamiltonian is H0(x, p) = 1 2m p − q Asol 2 = p2 2m − q m Φ0 2πx2 x ∧ p + 1 2m qΦ0 2π 2 1 x2 , x = ∥x∥.
A purely geometrical Aharonov-Bohm effect The corresponding Hamiltonian is H0(x, p) = 1 2m p − q Asol 2 = p2 2m − q m Φ0 2πx2 x ∧ p + 1 2m qΦ0 2π 2 1 x2 , x = ∥x∥
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T12:45:30.366529Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 7ebbcd6c-c9a4-4d83-be88-f68bf4be527a · outbound
This paper cites imaginary.
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T12:45:30.352015Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 4f4ea276-2ded-421e-b925-aff7afbc3df8 · outbound
This paper cites Tr(Mϖ) = 1 2π Z R2∗ d2x bϖp(1, −x) = 1 2π Ω−2(1) = 1.
A purely geometrical Aharonov-Bohm effect Tr(Mϖ) = 1 2π Z R2∗ d2x bϖp(1, −x) = 1 2π Ω−2(1) = 1
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T12:45:30.336419Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation f802c5d9-412e-494d-889c-e1a49ecfac9e · outbound
This paper cites an unresolved cited work.
A purely geometrical Aharonov-Bohm effect Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T12:45:30.322981Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 9d84f468-58af-4ef7-907c-b948c609fc26 · outbound
This paper cites an unresolved cited work.
A purely geometrical Aharonov-Bohm effect Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T12:45:30.311403Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 42d18629-8fa2-417d-9a2f-cd8e0792d819 · outbound
This paper cites an unresolved cited work.
A purely geometrical Aharonov-Bohm effect Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T12:45:30.298756Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 99ef7eb3-228c-413c-abfd-032d0486bec6 · outbound
This paper cites Note the particular cases:.
A purely geometrical Aharonov-Bohm effect Note the particular cases:
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T12:45:30.284617Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 6f48dd93-5903-4b3a-96c4-9d9cb5c685af · outbound
This paper cites Then we have Opϖ qβ = 2π cMϖ Z R2∗ d2y y2+β bϖp(1, −y) Qβ = Ωβ(1) Ω(1) Qβ.
A purely geometrical Aharonov-Bohm effect Then we have Opϖ qβ = 2π cMϖ Z R2∗ d2y y2+β bϖp(1, −y) Qβ = Ωβ(1) Ω(1) Qβ
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T12:45:30.271112Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 5972e633-ed58-4ad1-9e71-540c0e3e3ed1 · outbound
This paper cites For the special case of Ω(2,0,1)(1) = 0 Ω(2,1,0)(1) = cM ϖ 2π , our matrix is the unit matrix1 2.
A purely geometrical Aharonov-Bohm effect For the special case of Ω(2,0,1)(1) = 0 Ω(2,1,0)(1) = cM ϖ 2π , our matrix is the unit matrix1 2
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T12:45:30.258204Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 01739758-e7e7-4ad7-aad9-e4d2ee2663a5 · outbound
This paper cites ∗af fu (x).
A purely geometrical Aharonov-Bohm effect ∗af fu (x)
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T12:45:30.244796Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 2e06151b-8ccb-43cd-b85d-3327debf19a3 · outbound
This paper cites (B.10) Here (∇∇∇ bϖp)(1, −·) := ∂ ∂q1 bϖp)(q, −·), ∂ ∂q2 bϖp)(q, −· q=1.
A purely geometrical Aharonov-Bohm effect (B.10) Here (∇∇∇ bϖp)(1, −·) := ∂ ∂q1 bϖp)(q, −·), ∂ ∂q2 bϖp)(q, −· q=1
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T12:45:30.231171Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 2594eccb-716b-4f74-bee4-f9237bd2479e · outbound
This paper cites an unresolved cited work.
A purely geometrical Aharonov-Bohm effect Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T12:45:30.216223Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 5a0a808c-5b8c-410f-8208-f1352f2e5979 · outbound
This paper cites (B.9) yields the quantum kinetic energy (up to the usual factor1/2m): Opϖ p 2 = P2 + 2i Q∗ 2 + ∇∇∇Ω(1) Ω(1) · P − 1 Q2 4 + 4e1 · ∇∇∇Ω(1) Ω(1) + △Ω(1) Ω(1) , (B.12).
A purely geometrical Aharonov-Bohm effect (B.9) yields the quantum kinetic energy (up to the usual factor1/2m): Opϖ p 2 = P2 + 2i Q∗ 2 + ∇∇∇Ω(1) Ω(1) · P − 1 Q2 4 + 4e1 · ∇∇∇Ω(1) Ω(1) + △Ω(1) Ω(1) , (B.12)
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T12:45:30.201402Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation eed55a78-83cc-4024-9408-cd9ae2c59cd2 · outbound
This paper cites an unresolved cited work.
A purely geometrical Aharonov-Bohm effect Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T12:45:30.186039Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 455e99aa-39de-4cad-86da-7678b7036073 · outbound
This paper cites (B.14) 21 Simplified expressions for the above formulas are always possible with a suitable choice of the function ϖ.
A purely geometrical Aharonov-Bohm effect (B.14) 21 Simplified expressions for the above formulas are always possible with a suitable choice of the function ϖ
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T12:45:30.170249Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation c245c6f5-c1eb-4e2d-b23d-c9a1cd3a4284 · outbound
This paper cites Aharonov and D.
A purely geometrical Aharonov-Bohm effect Aharonov and D
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T12:45:30.154751Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 5b58f531-a1ab-4caa-bd08-aa0c1fba8051 · outbound
This paper cites Aharonov, E.
A purely geometrical Aharonov-Bohm effect Aharonov, E
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T12:45:30.137900Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation e28c42bf-73e2-4f09-bf91-d4a898cdfe09 · outbound
This paper cites an unresolved cited work.
A purely geometrical Aharonov-Bohm effect Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T12:45:30.123865Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 60db8de0-c37d-41b5-b574-f8ec7b9e7269 · outbound
This paper cites Strocchi and A.
A purely geometrical Aharonov-Bohm effect Strocchi and A
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T12:45:30.112131Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation bf44cc4b-f27d-4c41-ba2b-b6b567d32806 · outbound
This paper cites an unresolved cited work.
A purely geometrical Aharonov-Bohm effect Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T12:45:30.099947Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation e47aa1a7-f7fd-4364-96ab-d64386a060c2 · outbound
This paper cites Bohm and J.
A purely geometrical Aharonov-Bohm effect Bohm and J
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T12:45:30.088334Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 3c28d800-9a53-4aa7-ac7c-8548b09cf83e · outbound
This paper cites Tonomura et al., Observation of Aharonov-Bohm Effect by Electron Holography,Phys.
A purely geometrical Aharonov-Bohm effect Tonomura et al., Observation of Aharonov-Bohm Effect by Electron Holography,Phys
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T12:45:30.073926Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation b45ab536-4e31-429d-b327-b4bf8aca0695 · outbound
This paper cites Schmüdgen, On the Heisenberg Commutation Relation II,Publ.
A purely geometrical Aharonov-Bohm effect Schmüdgen, On the Heisenberg Commutation Relation II,Publ
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T12:45:30.058364Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation bc54d313-f38c-4574-b2bd-3f642e2dc69b · outbound
This paper cites Schmüdgen, Unbounded Self-adjoint Operators on Hilbert Space, Springer Dordrecht Hei- delberg New York London (2012).
A purely geometrical Aharonov-Bohm effect Schmüdgen, Unbounded Self-adjoint Operators on Hilbert Space, Springer Dordrecht Hei- delberg New York London (2012)
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T12:45:30.038068Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 75ea0162-216e-46fb-b292-9afe5cb27044 · outbound
This paper cites Ohnuki and S.
A purely geometrical Aharonov-Bohm effect Ohnuki and S
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T12:45:30.020458Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation ec9db9c2-c563-4355-a340-3c8a353b19de · outbound
This paper cites an unresolved cited work.
A purely geometrical Aharonov-Bohm effect Unresolved cited work
Reference 29
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T12:45:29.999362Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 268cff5b-bd58-41ad-ab20-f70557ac6c9f · outbound
This paper cites an unresolved cited work.
A purely geometrical Aharonov-Bohm effect Unresolved cited work
Reference 30
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T12:45:29.988816Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 3e1bf52c-dbeb-4503-8f69-b3b1ab3a42a5 · outbound
This paper cites Ohnuki, Irreducible representations of fundamental algebra for quantum mechanics onSD and gauge potentials,Proc.
A purely geometrical Aharonov-Bohm effect Ohnuki, Irreducible representations of fundamental algebra for quantum mechanics onSD and gauge potentials,Proc
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T12:45:29.977963Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 2a77bafd-e1be-40c7-8415-c130fcf59d89 · outbound
This paper cites Ohnuki,Proc.
A purely geometrical Aharonov-Bohm effect Ohnuki,Proc
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T12:45:29.966858Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 6b5eb21e-7c4e-46e5-a840-a574fc99259e · outbound
This paper cites McMullan and I.
A purely geometrical Aharonov-Bohm effect McMullan and I
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T12:45:29.955709Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 267d1664-c7cd-4780-8bb5-64fc1d889341 · outbound
This paper cites McMullan and I.
A purely geometrical Aharonov-Bohm effect McMullan and I
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T12:45:29.944275Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation c211a9ad-14f4-40e5-b5c2-e31a40fd479c · outbound
This paper cites Gazeau, T.
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T12:45:29.932293Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 2735c517-458c-47c3-bbeb-dd495fe2965c · outbound
This paper cites Gazeau, T.
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T12:45:29.922087Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 03f43bb6-44cc-41b0-9db2-6adfc0112eff · outbound
This paper cites Bergeron, J.-P.
A purely geometrical Aharonov-Bohm effect Bergeron, J.-P
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T12:45:29.911573Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation d509e00e-0db4-4fef-8c22-f7a9ddfbba9d · outbound
This paper cites an unresolved cited work.
A purely geometrical Aharonov-Bohm effect Unresolved cited work
Reference 38
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T12:45:29.900864Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation fd9545ee-5bcd-44f3-af51-c50342bc3aa3 · outbound
This paper cites Duflo and C.
A purely geometrical Aharonov-Bohm effect Duflo and C
Reference 39
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T12:45:29.889989Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 2e600116-5246-453f-a3a0-22c1b4156cb7 · outbound
This paper cites an unresolved cited work.
A purely geometrical Aharonov-Bohm effect Unresolved cited work
Reference 40
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T12:45:29.877609Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 906d5bc1-3f70-409a-b99b-610f42c89c2f · outbound
This paper cites Lévy-Leblond, The pedagogical role and epistemological significance of group theory in quantum mechanics,Riv.
A purely geometrical Aharonov-Bohm effect Lévy-Leblond, The pedagogical role and epistemological significance of group theory in quantum mechanics,Riv
Reference 41
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T12:45:29.865027Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 010dd9ac-ba55-4407-98e8-d875fa8edef9 · outbound
This paper cites Gazeau, T.
Reference 42
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T12:45:29.853436Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 191d1ec9-a2a7-40dd-a946-fb8461e5d050 · outbound
This paper cites Reed and B.
A purely geometrical Aharonov-Bohm effect Reed and B
Reference 43
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T12:45:29.841340Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 67de1b86-980c-4870-9aaa-60a8eb999527 · outbound
This paper cites Kowalski, K.
A purely geometrical Aharonov-Bohm effect Kowalski, K
Reference 44
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T12:45:29.828020Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation f8259987-d90d-4434-a74c-ba9e6fe77495 · outbound
This paper cites Asch and P.
A purely geometrical Aharonov-Bohm effect Asch and P
Reference 45
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T12:45:29.814731Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation a9f7df01-097b-4146-88c5-18bf5a90220a · outbound
This paper cites an unresolved cited work.
A purely geometrical Aharonov-Bohm effect Unresolved cited work
Reference 46
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T12:45:29.798652Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 65266938-10ae-4fa0-b02c-cdf3b635896a · outbound
This paper cites Cardona, Geometric Quantization: The Magnetic Monopole Case and Quantum Hall Effect, Mathematics Department Universidad de los Andes, Bogota, Colombia.
A purely geometrical Aharonov-Bohm effect Cardona, Geometric Quantization: The Magnetic Monopole Case and Quantum Hall Effect, Mathematics Department Universidad de los Andes, Bogota, Colombia
Reference 47
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T12:45:29.784126Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 7f6d9612-86e7-40d2-afe4-8887b7460045 · outbound
This paper cites an unresolved cited work.
A purely geometrical Aharonov-Bohm effect Unresolved cited work
Reference 48
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T12:45:29.771280Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 6fdd4475-637e-43f0-a850-3e2676ec5873 · outbound
This paper cites Ohnuki,Aharonov-Bohm effect, Frontier in Physics edited by Y.
A purely geometrical Aharonov-Bohm effect Ohnuki,Aharonov-Bohm effect, Frontier in Physics edited by Y
Reference 49
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T12:45:29.758809Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Pith citing papers
No inbound Pith citation observations are available.