The norm estimate of the difference between the Kac operator and the Schrödinger semigroup: A unified approach to the nonrelativistic and relativistic cases

DOI10.1017/S0027763000006553zbMath0917.47041MaRDI QIDQ3839741

Takashi Ichinose, Satoshi Takanobu

Publication date: 28 October 1998

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Trotter product formulaFeynman-Kac formula\(L^2\) operator norm estimatedifference between the Kac operator and the Schrödinger semigroup

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) General theory of partial differential operators (47F05)

Related Items

The fourth order accuracy decomposition scheme for an evolution problem, High degree precision decomposition method for the evolution problem with an operator under a split form, 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

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