COMPUTATIONICS AND QUANTUM ANALYSIS

DOI10.1142/S0129183199001157zbMath0954.00055MaRDI QIDQ4504715

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Publication date: 15 January 2001

Published in: International Journal of Modern Physics C (Search for Journal in Brave)

zbMATH Keywords

ProceedingsSeminarSpecial issueComputer simulationsKaanapali Beach, Maui, HI (USA)Long time-scales

Mathematics Subject Classification ID

Proceedings of conferences of miscellaneous specific interest (00B25) Proceedings, conferences, collections, etc. pertaining to quantum theory (81-06) Proceedings, conferences, collections, etc. pertaining to statistical mechanics (82-06)

Cites Work

• Generalized Padé approximants - application to split operator alternating direction implicit finite difference and finite element techniques
• Generalized Trotter's formula and systematic approximants of exponential operators and inner derivations with applications to many-body problems
• Quantum Monte Carlo methods and general decomposition theory of exponential operators and symplectic integrators
• Exponential power series expansion for the propagator of general diffusion processes
• Convergence of general decompositions of exponential operators
• Quantum analysis -- non-commutative differential and integral calculi
• Nonlinear fluctuations, separation of procedures and linearization of processes
• Finite-difference schemes and time-ordering corrections
• Symplectic integrators from composite operator factorizations
• QUANTUM ANALYSIS, NONEQUILIBRIUM DENSITY MATRIX AND ENTROPY OPERATOR
• General theory of fractal path integrals with applications to many-body theories and statistical physics
• Lie algebraic approach to Fer's expansion for classical Hamiltonian systems
• GENERAL FORMULATION OF QUANTUM ANALYSIS
• Convergence of unitary and complex decompositions of exponential operators
• On the Numerical Integration of Ordinary Differential Equations by Symmetric Composition Methods
• Compact exponential product formulas and operator functional derivative
• High-order split-step exponential methods for solving coupled nonlinear Schrodinger equations
• DETERMINING EQUATIONS FOR HIGHER-ORDER DECOMPOSITIONS OF EXPONENTIAL OPERATORS
• Generalized exact formula for the correlations of the Ising model and other classical systems

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