Study of correction terms for higher-order decompositions of exponential operators

DOI10.1016/0378-4371(94)00181-2zbMath0925.82050OpenAlexW2041612840MaRDI QIDQ1337093

Hiroto Kobayashi, Masuo Suzuki, Naomichi Hatano

Publication date: 28 October 1994

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4371(94)00181-2

zbMATH Keywords

exactly solvable modelshigher order decompositions

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

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Cites Work

• On a unitary version of Suzuki's exponential product formula
• Improved Trotter-like formula
• Fourth-order symplectic integration
• A symplectic integration algorithm for separable Hamiltonian functions
• Generalized Trotter's formula and systematic approximants of exponential operators and inner derivations with applications to many-body problems
• Relationship between d-Dimensional Quantal Spin Systems and (d+1)-Dimensional Ising Systems: Equivalence, Critical Exponents and Systematic Approximants of the Partition Function and Spin Correlations
• On the Product of Semi-Groups of Operators
• Decomposition formulas of exponential operators and Lie exponentials with some applications to quantum mechanics and statistical physics
• General theory of fractal path integrals with applications to many-body theories and statistical physics
• Convergence of unitary and complex decompositions of exponential operators
• Equation of State Calculations by Fast Computing Machines
• Statistical Mechanics of the Anisotropic Linear Heisenberg Model

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