The norm estimate of the difference between the Kac operator and Schrödinger semigroup. II: The general case including the relativistic case

DOI10.1214/EJP.v5-61zbMath0987.47032MaRDI QIDQ1977452

Satoshi Takanobu, Takashi Ichinose

Publication date: 18 May 2000

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/121856

zbMATH Keywords

Schrödinger operatorsBrownian motionTrotter product formulaFeynman-Kac formulaLie-Trotter-Kato product formulaKato's inequalitySchrödinger semigroupsubordination of Brownian motion

Mathematics Subject Classification ID

Brownian motion (60J65) Markov semigroups and applications to diffusion processes (47D07) General theory of partial differential operators (47F05) Schrödinger operator, Schrödinger equation (35J10) Transition functions, generators and resolvents (60J35)

Related Items (4)

Strang's formula for holomorphic semi-groups ⋮ Euclidean quantum mechanics in the momentum representation ⋮ Perturbation theory for convolution semigroups ⋮ On the norm convergence of the self-adjoint Trotter-Kato product formula with error bound

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