Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T20:40:43.381514Z
Paper Citation Record · LEDGER
As of 7 August 2026, this Paper Citation Record lists 60 of 60 outbound references and 3 inbound Pith citation observations for arXiv:2507.02783.
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 2026-08-06T20:40:43.381514Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-06T20:40:38.366047Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-11T00:30:52.554029Z
60 of 60 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 11691ae9-30bf-423d-bd49-66a2195b5a27 · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ba665828-b28d-4a5d-9b16-d6151d29641d · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Unresolved cited work
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation c90fb842-0636-4c9b-adce-98dfd6924bdd · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof The central result of this section is the following theorem, which provides a uniform-in-hupper bound on the local error for the semiclassical Schr¨ odinger operators
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 23ce467f-6dc1-4c5c-9ee6-1b296fa58b82 · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof For completeness, we begin by introducing the underlying Lie algebra in a spatially continuous setting and reviewing its key properties
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation e94c022d-dbd2-4a8f-94d5-33f054b65502 · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof The primary purpose of this section is to illustrate the behavior of higher-order Trotter-Suzuki formulas together with spatial discretization
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 243adb95-e80b-415a-a8c7-ec35b6022c81 · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Unresolved cited work
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 46328a32-e0f9-469c-b5a7-328e8fbcc6d8 · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Simulating physics with computers.International Journal of Theoretical Physics, 21(6):467–488, 1982
Reference 7
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8b089713-9117-4c89-a451-cdd670684594 · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Unresolved cited work
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 6e655555-ba6b-4b76-9291-2a87216bee9a · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Unresolved cited work
Reference 9
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c0f96586-a83e-4aac-9176-b4f80f438be1 · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Unresolved cited work
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation bb455507-b9d0-496b-bee0-0b2808890236 · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Computing quantum dynamics in the semiclassical regime.Acta Numer., 29:229–401, 2020
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1dc67352-4c20-4d63-ab4c-60e235f22d26 · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Zurich Lectures in Advanced Mathematics
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a3240066-ea08-430d-bb32-2ebcf5bee9d1 · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Hagedorn and Alain Joye
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 58fb2439-8258-4ce5-9b66-1583833a3144 · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Quantum algorithms for escaping from saddle points.Quantum, 5:529, Aug 2021
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation c77cbfb2-d6f4-46ea-95dc-62252931efca · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Su, and Tongyang Li
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation f7c5dc75-9e87-472b-b8d9-e88d7b8a63bf · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Quantum Hamiltonian Descent
Reference 16
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a10ec5b1-ae2c-4146-9a00-7a2db98fa085 · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Mathematical and computational methods for semiclassical Schr¨ odinger equations.Acta Numer., 20:121–209, 2011
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 2211639b-25df-4cf6-94f3-219e2d7bb1d7 · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Uniform observable error bounds of Trotter formulae for the semiclassical Schr¨ odinger equation.Multiscale Modeling & Simulation, 23(1):255–277, 2025
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 6e2aec96-5bab-4e4e-bc96-d1846a71986f · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Quantum simulation in the semi-classical regime.Quantum, 6:739, June 2022
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation d70fc20d-8bc0-4c1f-a691-4700aca3bbf3 · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Unresolved cited work
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0cf0446e-fc14-4fc7-acb2-b761fd4b2120 · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Markowich
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation b7b2bea1-cce9-40ae-9b15-9b73faa420b4 · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Markowich
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b7d110e7-ea89-4cc3-8df1-ace3f341820e · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof On Fourier time-splitting methods for nonlinear Schr¨ odinger equations in the semiclassical limit.SIAM J
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation e9e0f534-4617-4853-bdb0-194989147205 · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof On Fourier time-splitting methods for nonlinear Schr¨ odinger equations in the semi-classical limit II
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation cc5db4de-8eb6-4584-bb5a-685ab3b53610 · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof On the approximation of the von Neumann equation in the semi-classical limit. Part I : numerical algorithm
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 4b97d4ed-0c08-456b-936c-612ff6d21cee · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof A poisson integrator for Gaussian wavepacket dynamics
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation fb141912-f423-4c3a-b50d-7d80bdff5a8e · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Gaussian beam methods for the Schrodinger equation in the semi- classical regime: Lagrangian and Eulerian formulations.Commun
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 6914fd2d-92f5-49c4-9b6d-6b07bdbdb756 · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Computing semiclassical quantum dy- namics with Hagedorn wavepackets.SIAM Journal on Scientific Computing, 31(4):3027–3041,
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 9b161cda-4498-46eb-8ba6-5ec72b10b13a · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof On the convergence of time splitting methods for quantum dynamics in the semiclassical regime.Found
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 43d85d2b-3b06-4c05-a57e-d9b190704615 · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Effective approx- imation for the semiclassical Schr¨ odinger equation.Foundations of Computational Mathe- matics, 14(4):689–720, 2014
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation cbdfadce-7389-435a-b8bc-1c267612eb17 · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof An efficient time-splitting method for the Ehrenfest dynamics.Multiscale Modeling & Simulation, 16(2):900–921, 2018
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 228ec9ab-df60-43ea-82cb-0b15c3a816f2 · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Asymptotic analysis of diabatic surface hopping algorithm in the adiabatic and non-adiabatic limits, 2022
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation e6b0ff33-4046-4101-8aa2-d524bda9884a · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof CRC press, 2025
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6fd3ef4a-eba7-4306-993a-71566461ef7d · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof On the approximation of the von Neumann equation in the semi-classical limit
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 81c7b8e7-e00f-4241-b369-a125c25a92a5 · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Mathematical theory and numerical methods for Bose-Einstein condensation.Kinetic & Related Models, 6(1):1–135, 2013
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 443cb2ac-407e-430a-8784-da2f31e6e5aa · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Quantitative observability for the Schr¨ odinger and Heisenberg equations: An optimal transport approach.Mathematical Models and Methods in Applied Sciences, 32(05):941–963, 2022
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 443c13fd-1b6a-4581-be74-0769e9cfd87d · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Childs, Yuan Su, Minh C
Reference 37
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bb81dc5a-fd00-49f9-88bd-f59a1f12cc88 · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Observable error bounds of the time-splitting scheme for quantum-classical molecular dynamics.SIAM Journal on Numerical Analysis, 61(1):26–44,
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 9daab898-73e1-44e5-b84b-aee61ef0241c · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Efficient methods for linear Schr¨ odinger equation in the semiclassical regime with time-dependent potential
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 460450e0-e23d-45d3-8114-6cf98447b0e6 · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Unresolved cited work
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 95df5eae-61b3-4582-ab67-203f4c9c931b · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Construction of higher order symplectic integrators.Phys
Reference 41
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f9c27bd2-8709-4c59-9b80-49975d930458 · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Huyghebaert and H
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation e4f9261e-9d2a-4371-a5b4-7e286c1281af · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Splitting and composition methods in the numerical integration of differential equations
Reference 43
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation af85ace2-f1a8-43bc-ad4e-ea4fcc9b5906 · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Zworski.Semiclassical Analysis
Reference 44
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d6dcb46a-708e-48dc-a73e-52ff54e026cf · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Unresolved cited work
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 2d04f977-3510-4819-bf1e-c399917fd6e5 · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Time-Dependent Hamiltonian Simulation via Magnus Expansion: Algorithm and Superconvergence.Communications in Mathematical Physics, 406 (6), May 2025
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation e67d0dbf-9ed3-4d5e-9c0a-d08b9aa6a5c6 · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Algebraic theory for higher-order methods in computational quantum mechanics
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 834239b8-020f-4c62-bfc9-98d8f70958da · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof On the Trotter Error in Many-body Quantum Dynamics with Coulomb Potentials, 2025
Reference 48
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 15618883-0b87-4643-9b36-9835e1f7c65b · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Magnus–Lanczos methods with sim- plified commutators for the Schr¨ odinger equation with a time-dependent potential.SIAM Journal on Numerical Analysis, 56(3):1547–1569, 2018
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation dcba85a4-e474-4946-b07e-fe41ff584d1b · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Compact schemes for laser–matter in- teraction in Schr¨ odinger equation based on effective splittings of magnus expansion.Computer Physics Communications, 234:195–201, 2019
Reference 50
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7e0bf190-5b08-48f1-94a4-7e18e9e6c7f9 · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Time-dependent unbounded Hamiltonian simulation with vector norm scaling.Quantum, 5:459, may 2021
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 1e90c2f0-3578-4e6a-93b9-c75066c14e47 · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Ikeda, and Keisuke Fujii
Reference 53
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bab35c86-42dd-4b4d-b7e5-ac51b93b8ede · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Time-dependent Hamiltonian Simulation of Highly Os- cillatory Dynamics and Superconvergence for Schr¨ odinger Equation.Quantum, 6:690, April
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 56592ea4-9e95-4c75-ba09-7bf76ce27fde · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Discrete superconvergence analysis for quantum magnus algorithms of unbounded hamiltonian simulation.Communications in Mathematical Physics, 407(2), January 2026
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation cc207aec-2c4a-48c6-8d57-8e4e5acd15e6 · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Strong error bounds for Trotter and strang-splittings and their implications for quantum chem- istry.Physical Review Research, 6(4), November 2024
Reference 59
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a9f352dd-b9ad-40b9-8bb0-b2f62ee33918 · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Convergence Rates for the Trotter Splitting for Unbounded Operators.Foundations of Computational Mathematics, September 2025
Reference 60
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6499a185-7e2b-414b-a1fa-7a7a1514e9e5 · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof URL https://doi.org/10.1137/080729724
Reference 2009
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation d745a671-e98e-4e3b-8716-821565a62c18 · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof doi: 10.1007/s00211-016-0841-y
Reference 2017
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation ad07701b-7401-4767-b640-3537682e44c7 · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof doi: 10.22331/q-2022-04-15-690
Reference 2022
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation d561ffad-d41f-44a1-bfb9-31677a68ae47 · outbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof URL https://doi.org/10.1137/21M1462349
Reference 2023
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 11691ae9-30bf-423d-bd49-66a2195b5a27 · inbound
Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f9be7d2a-abbc-4b55-87e9-5dc1a09e019c · inbound
High-order Magnus Expansion for Hamiltonian Simulation Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof
Reference 52
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e2f427d1-8df4-4977-94d6-65e112386c72 · inbound
Trotterization with Many-body Coulomb Interactions: Convergence for General Initial Conditions and State-Dependent Improvements Uniform semiclassical observable error bound of Trotter-Suzuki splitting: a simple algebraic proof
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.