Error bounds on the Trotter-Kato product formula of relativistic Schrödinger operators with electromagnetic fields
DOI10.3792/pjaa.76.7zbMath0954.47035OpenAlexW1997786454MaRDI QIDQ1570238
Publication date: 9 July 2000
Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3792/pjaa.76.7
electromagnetic fieldsTrotter-Kato product formularelativistic Schrödinger operator\(L^2\)-operator norm
One-parameter semigroups and linear evolution equations (47D06) General theory of partial differential operators (47F05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)
Cites Work
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- On error estimates for the Trotter-Kato product formula
- Error bounds on exponential product formulas for Schrödinger operators
- Error estimate in operator norm of exponential product formulas for propagators of parabolic evolution equations
- Estimate of the difference between the Kac operator and the Schrödinger semigroup
- The norm estimate of the difference between the Kac operator and the Schrödinger semigroup: A unified approach to the nonrelativistic and relativistic cases
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