Compact exponential product formulas and operator functional derivative

DOI10.1063/1.531884zbMath0928.65031OpenAlexW1993955296MaRDI QIDQ4338367

Masuo Suzuki

Publication date: 28 May 1997

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.531884

zbMATH Keywords

algorithmsfree Lie elementscompact exponential product formulaslogarithm of exponential productmolecular electronic simulationsoperator functional derivative

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Exponential and trigonometric functions (33B10)

Related Items (9)

Multivariate trace inequalities, p-fidelity, and universal recovery beyond tracial settings ⋮ Derivation of density operators for generalized entropies with quantum analysis ⋮ GENERAL FORMULATION OF QUANTUM ANALYSIS ⋮ Derivation of the density operator with quantum analysis for the generalized Gibbs ensemble in quantum statistics ⋮ Goldberg's theorem and the Baker-Campbell-Hausdorff formula ⋮ Operator ordering index method for multiple commutators and Suzuki’s quantum analysis ⋮ Quantum analysis on the convergence speed of exponential product formulas — differential-subtraction and exchange-integration method on concise norm bounds ⋮ COMPUTATIONICS AND QUANTUM ANALYSIS ⋮ COMPUTATIONICS AND QUANTUM ANALYSIS

Cites Work

• On a unitary version of Suzuki's exponential product formula
• Quantum Monte Carlo methods and general decomposition theory of exponential operators and symplectic integrators
• Convergence of general decompositions of exponential operators
• Composition methods in the presence of small parameters
• Explicit solution of the continuous Baker-Cambell-Hausdorff problem and a new expression for the phase operator
• 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
• Monte Carlo Simulation of Quantum Spin Systems. I
• 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
• DETERMINING EQUATIONS FOR HIGHER-ORDER DECOMPOSITIONS OF EXPONENTIAL OPERATORS
• Stochastic Liouville Equations

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