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On the product of semi-groups of operators
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“For this type of differential equation consisting of a sum of integrable parts, it is very natural to use a Lie-Trotter splitting approach [16,29,30], where one evolves according to each integrable part for a small time t.”
From Unifying time evolution and optimization with matrix product states (2016) · cites this paper as [16]
In the citing paper
“The key ingredient of TEBD-based methods is a Lie-Trotter-Suzuki [16,17] splitting of the Schrödinger equation according to the individual terms ĥi of the Hamiltonian Ĥ = i ĥi .”
From Unifying time evolution and optimization with matrix product states (2016) · cites this paper as [16]
In the citing paper
“If this is true, then the operator e -iHt can be implemented in terms of the corresponding operators for every term in the Hamiltonian, using the Trotter-Suzuki formula [164]:”
From The prospects of quantum computing in computational molecular biology (2021) · cites this paper as [164]
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Metadata
- Authors
- Trotter, H. F.
- Corresponding author
- Trotter, H. F.
- Venue
- Proceedings of the American Mathematical Society
- Publisher
- American Mathematical Society (AMS)
- Published
- 1959-08
- Volume
- 10
- Issue
- 4
- Pages
- 545-551
- ISSN
- 0002-9939 (ISSN-L)
- 1088-6826
- OpenAlex
- W1997126380
- Cited by
- 2,282
- References
- 4
- Citations by year
- 2026: 114 · 2025: 175 · 2024: 147 · 2023: 150 · 2022: 124 · 2021: 102 · 2020: 98 · 2019: 97 · 2018: 90 · 2017: 67 · 2016: 71 · 2015: 55 · 2014: 71 · 2013: 50 · 2012: 46
- FWCI
- 0.00
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Proceedings of the American Mathematical Society (publishedVersion)
- Topics
- Physical Sciences › Mathematics › Mathematical Physics › Advanced Banach Space Theory
- Physical Sciences › Mathematics › Applied Mathematics › Holomorphic and Operator Theory
- Physical Sciences › Mathematics › Mathematical Physics › Advanced Operator Algebra Research
- Keywords
- operator semigroups
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