A product formula and its application to the Schrödinger equation

DOI10.2977/prims/1195187217zbMath0452.47050OpenAlexW2048784249MaRDI QIDQ1148531

Takashi Ichinose

Publication date: 1980

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195187217

zbMATH Keywords

Schrödinger equationTrotter product formula

Mathematics Subject Classification ID

Applications of operator algebras to the sciences (47L90) Integral representations of solutions to PDEs (35C15) Groups and semigroups of linear operators (47D03) Schrödinger operator, Schrödinger equation (35J10)

Related Items (7)

Product formula for imaginary resolvents with application to a modified Feynman integral ⋮ Differential equations in a Banach space ⋮ On the Trotter product formula ⋮ The Trotter–Lie product formula for Gibbs semigroups ⋮ Remarks on the Trotter-Kato product formula for unitary groups ⋮ Approximation of the semigroup generated by the Hamiltonian of Reggeon field theory in Bargmann space ⋮ Trotter product formulae for \(\ast\)-automorphisms of quantum lattice systems

Cites Work

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• Trotter's product formula for nonlinear semigroups generated by the subdifferentials of convex functionals
• The product formula for semigroups defined by Friedrichs extensions
• Schrödinger operators with singular potentials
• On the Trotter-Lie product formula
• Product formulas and numerical algorithms
• Product formulas, nonlinear semigroups, and addition of unbounded operators
• Feynman Integrals and the Schrödinger Equation
• Hamiltonian Path-Integral Methods

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