Estimate of the difference between the Kac operator and the Schrödinger semigroup
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Publication:1360573
DOI10.1007/BF02885677zbMath0912.47025OpenAlexW1987985419MaRDI QIDQ1360573
Satoshi Takanobu, Takashi Ichinose
Publication date: 3 May 1999
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02885677
Trotter product formulaKac operatorSchrödinger semigroupFeynman-Kac-Itô formula\(L^p\)-operator norm estimate
One-parameter semigroups and linear evolution equations (47D06) General theory of partial differential operators (47F05) Schrödinger operator, Schrödinger equation (35J10)
Related Items (8)
Strang's formula for holomorphic semi-groups ⋮ Convergence of a splitting method of high order for reaction-diffusion systems ⋮ The norm estimate of the difference between the Kac operator and the Schrödinger semigroup: A unified approach to the nonrelativistic and relativistic cases ⋮ Sharp Error Bound on Norm Convergence of Exponential Product Formula and Approximation to Kernels of Schrödinger Semigroups ⋮ Remarks on decay of correlations and Witten Laplacians Brascamp-Lieb inequalities and semiclassical limit ⋮ Error bounds on the Trotter-Kato product formula of relativistic Schrödinger operators with electromagnetic fields ⋮ An operator-theoretic proof of an estimate on the transfer operator ⋮ On the norm convergence of the self-adjoint Trotter-Kato product formula with error bound
Cites Work
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- Brownian motion, \(L^p\) properties of Schrödinger operators and the localization of binding
- Error bounds for Trotter-type formulas for self-adjoint operators
- An estimate of the Kac transfer operator
- Schrödinger operators with singular potentials
- Schrödinger operators with singular magnetic vector potentials
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