Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T14:11:36.948210Z
Paper Citation Record · LEDGER
As of 16 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 0 inbound Pith citation observations for arXiv:1908.03758.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T14:11:36.948210Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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
44 of 44 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 63453cd6-4441-406b-9823-cb8573872745 · outbound
New families of non-parity-time-symmetric complex potentials with all-real spectra The Factorization Method
Reference 1
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 6a72f069-a159-483c-a15a-2c0d1a2ab2f8 · outbound
New families of non-parity-time-symmetric complex potentials with all-real spectra A class of solva ble potentials
Reference 2
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 4ecd3288-9abf-4e14-99ed-3b8403628e01 · outbound
New families of non-parity-time-symmetric complex potentials with all-real spectra On some exactly solvable potentials derived f rom supersymmetric quantum mechanics
Reference 3
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 30f6a7f9-5899-4c42-8bc8-3f80fcd87f27 · outbound
New families of non-parity-time-symmetric complex potentials with all-real spectra Supersymmetry and q uantum mechanics
Reference 4
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 eb214e55-941e-4667-8b04-e08211b533f0 · outbound
New families of non-parity-time-symmetric complex potentials with all-real spectra Real spectra in non-Hermi tian Hamiltonians having PT symmetry
Reference 5
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 fca0fc8b-5e5b-4e4c-97f0-8479dd2f973b · outbound
New families of non-parity-time-symmetric complex potentials with all-real spectra Pseudo-Hermitian representation of quantum mechanics
Reference 6
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 09e3df84-641c-4a9c-9b95-5927ab22f66a · outbound
New families of non-parity-time-symmetric complex potentials with all-real spectra Moiseyev, Non-Hermitian Quantum Mechanics (Cambridge University Press, Cambridge, 2011)
Reference 7
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 45cceb44-d9c3-46eb-90b1-75f122dbb311 · outbound
New families of non-parity-time-symmetric complex potentials with all-real spectra Consistency of PT-symmetric quantum mecha nics
Reference 8
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 dd37bd05-29af-477b-9ed6-f2e8efa7fb28 · outbound
New families of non-parity-time-symmetric complex potentials with all-real spectra sl(2, C) as a complex Lie algebra and the associated non-Hermitian Hamiltonians with real eigenvalues
Reference 9
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 84072be4-24b6-454d-8027-3a52fe987f0b · outbound
New families of non-parity-time-symmetric complex potentials with all-real spectra Generating Complex Potentials with Real Eigenvalues in Supersymmetric Quantu m Mechanics
Reference 10
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 c1473cc8-ef38-4f8c-aecc-22e9e1c95b8c · outbound
New families of non-parity-time-symmetric complex potentials with all-real spectra Real and Complex discrete eigenvalues in an e xactly solvable one-dimensional complex PT-invariant pot ential
Reference 11
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 ab99812a-2e82-4b44-85ed-7537c80d7065 · outbound
New families of non-parity-time-symmetric complex potentials with all-real spectra Non-Hermitian Hamiltonians w ith real and complex eigenvalues in a Lie-algebraic framewo rk
Reference 12
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 d1471511-9cfe-4490-b794-2b1c32fab623 · outbound
New families of non-parity-time-symmetric complex potentials with all-real spectra Construction of parity-time symmetric pot ential through the soliton theory
Reference 13
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 3e4bbf70-f405-42f1-b0cd-a4b736059cf5 · outbound
New families of non-parity-time-symmetric complex potentials with all-real spectra New supersy mmetry-generated complex potentials with real spectra
Reference 14
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 bc7118b8-0d02-4057-b638-705047ec8574 · outbound
New families of non-parity-time-symmetric complex potentials with all-real spectra Optical solitons in PT periodic potentials
Reference 15
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 492a667b-5bfe-4a3b-9fee-d9d0b1496e5c · outbound
New families of non-parity-time-symmetric complex potentials with all-real spectra Visualizatio n of branch points in PT -symmetric waveguides
Reference 16
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 e6bcaf33-c385-4cbf-863b-bef04274bb19 · outbound
New families of non-parity-time-symmetric complex potentials with all-real spectra Observation of parity-time sy m- metry in optics
Reference 17
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 7a88b79e-b8d5-48d9-9592-3935abe1d730 · outbound
New families of non-parity-time-symmetric complex potentials with all-real spectra Paritytime syntheti c photonic lattices
Reference 18
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 a13ded8b-672c-4408-9ca6-61edf7a93eb7 · outbound
New families of non-parity-time-symmetric complex potentials with all-real spectra Experimental demonstration of a unidirectional reflectionless parity-t ime metamaterial at optical frequencies
Reference 19
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 0ee6c3f7-8b34-4cc8-910e-a5f5805c420e · outbound
New families of non-parity-time-symmetric complex potentials with all-real spectra Single- mode laser by parity-time symmetry breaking
Reference 20
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 6043a1e2-f48d-4229-a603-bb4a9c32069b · outbound
New families of non-parity-time-symmetric complex potentials with all-real spectra PT -symmetric micro-ring laser
Reference 21
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 4f0ea917-850c-49a8-aec6-8c43058a4f3a · outbound
New families of non-parity-time-symmetric complex potentials with all-real spectra Parity- time-symmetric whispering-gallery microcavities
Reference 22
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 b24e1333-2349-487e-8103-b293a7de9232 · outbound
New families of non-parity-time-symmetric complex potentials with all-real spectra Nonlinear wav es in PT -symmetric systems
Reference 23
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 c2c887fc-fd46-4dc5-a926-d6c3a5486b68 · outbound
New families of non-parity-time-symmetric complex potentials with all-real spectra Nonlinear switching and solitons in PT -symmetric photonic systems
Reference 24
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 9e224769-ab82-42e1-be58-23b7adf9cf65 · outbound
New families of non-parity-time-symmetric complex potentials with all-real spectra Christodoulides and J
Reference 25
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 18a09129-0296-4444-97a5-176962660d25 · outbound
New families of non-parity-time-symmetric complex potentials with all-real spectra Bender, PT Symmetry in Quantum and Classical Physics (World Scientific, Singapore, 2019)
Reference 26
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 db0d0c8c-e1fc-40b3-a33e-030f8bf423de · outbound
New families of non-parity-time-symmetric complex potentials with all-real spectra Bagarello, J.P
Reference 27
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 80f2d732-b915-403c-b30b-05d7a6f1baa4 · outbound
New families of non-parity-time-symmetric complex potentials with all-real spectra Dynamical breaking of supersymmetry
Reference 28
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 437e4bad-9f9d-4096-a2fc-fc48da64bc7b · outbound
New families of non-parity-time-symmetric complex potentials with all-real spectra Factorization method and new potentials w ith the oscillator spectrum
Reference 29
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 1dc9b5eb-4ca3-4fd7-b3b8-215c53082526 · outbound
New families of non-parity-time-symmetric complex potentials with all-real spectra New hydrogen-like potentials
Reference 30
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 789abf02-83a9-4cf0-9358-c5e0c50292bc · outbound
New families of non-parity-time-symmetric complex potentials with all-real spectra Nonuniquen ess of the factorization scheme in quantum mechanics
Reference 31
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 f2c89be7-6c0f-45c2-b7f7-cbafede93af0 · outbound
New families of non-parity-time-symmetric complex potentials with all-real spectra Phase-equivalent potential s obtained from supersymmetry
Reference 32
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 c12227da-fc70-4e08-945e-b482a5781def · outbound
New families of non-parity-time-symmetric complex potentials with all-real spectra Schr¨ odinger opera tors with complex potential but real spectrum
Reference 33
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 7d18e8a2-75f3-4b8b-9805-94b02041218c · outbound
New families of non-parity-time-symmetric complex potentials with all-real spectra Supers ymmetry-generated complex optical potentials with real sp ectra
Reference 34
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 e743c2a6-293b-4715-a494-b7176687df40 · outbound
New families of non-parity-time-symmetric complex potentials with all-real spectra Necessity of PT symmetry for soliton families in one-dimensional complex p otentials
Reference 35
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 0ce60ba1-e99f-4614-a909-5bec85790b3f · outbound
New families of non-parity-time-symmetric complex potentials with all-real spectra Pseudo-Hermiticity versus PT symmetry: The necessary condition for the reality of the spe ctrum of a non-Hermitian Hamiltonian
Reference 36
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 81ca2c7f-1014-4df6-b63e-1f7fc0ca51a0 · outbound
New families of non-parity-time-symmetric complex potentials with all-real spectra Pseudo-Hermiticity versus PT -symmetry. II. A complete characterization of non-Hermiti an Hamilto- nians with a real spectrum
Reference 37
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 a53a56e2-83f4-445e-bf43-061fc8609380 · outbound
New families of non-parity-time-symmetric complex potentials with all-real spectra Pseudo-Hermiticity, weak pse udo-Hermiticity and eta-orthogonailty condition
Reference 38
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 63a3daef-b0af-472e-a39d-2bede422a22b · outbound
New families of non-parity-time-symmetric complex potentials with all-real spectra All-real spectra in optical syste ms with arbitrary gain-and-loss distributions
Reference 39
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 d1e6ee0b-4585-4da4-b808-20a6e8c7ee4e · outbound
New families of non-parity-time-symmetric complex potentials with all-real spectra Classes of non-parity-time-symmetric optic al potentials with exceptional-point-free phase transiti ons
Reference 40
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 0729c31d-296a-4a1f-9c79-83a7a7aee12f · outbound
New families of non-parity-time-symmetric complex potentials with all-real spectra Stable localized modes in asymmetric waveguides with gain and loss
Reference 41
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 c7b185dd-6984-4bf4-8ae4-0a7b51306400 · outbound
New families of non-parity-time-symmetric complex potentials with all-real spectra Purely imaginary eigenvalues o f Zakharov-Shabat systems
Reference 42
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 4bab1228-87e4-4466-a74f-c145880c9cfd · outbound
New families of non-parity-time-symmetric complex potentials with all-real spectra Construction of non- PT -symmetric complex potentials with all-real spectra
Reference 43
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 a5549f05-3f3c-4365-bfc4-0b8e0e6dd295 · outbound
New families of non-parity-time-symmetric complex potentials with all-real spectra A universal form of loc alized complex potentials with spectral singularities
Reference 44
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.
No inbound Pith citation observations are available.