On three magnetic relativistic Schrödinger operators and imaginary-time path integrals
DOI10.1007/s11005-012-0573-6zbMath1296.81025OpenAlexW2076182800MaRDI QIDQ692863
Publication date: 6 December 2012
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11005-012-0573-6
path integralquantizationFeynman-Kac formulaLévy processpseudo-differential operatorsrelativistic Schrödinger operatorFeynman-Kac-Itô formulaimaginary-time path integral
Pseudodifferential operators as generalizations of partial differential operators (35S05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) PDEs in connection with relativity and gravitational theory (35Q75)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unicity of the integrated density of states for relativistic Schrödinger operators with regular magnetic fields and singular electric potentials
- Imaginary-time path integral for a relativistic spinless particle in an electromagnetic field
- Spectra of relativistic Schrödinger operators with magnetic vector potentials
- Magnetic pseudodifferential operators
- Exponential product approximation to the integral kernel of the Schrödinger semigroup and to the heat kernel of the Dirichlet Laplacian
- On the relativistic Feynman-Kac-Ito formula
- Lévy Processes and Stochastic Calculus
- The Stability of Matter in Quantum Mechanics
- Sharp Error Bound on Norm Convergence of Exponential Product Formula and Approximation to Kernels of Schrödinger Semigroups
- Functional Analysis
- The norm convergence of the Trotter-Kato product formula with error bound
- Note on the paper: ``The norm convergence of the Trotter--Kato product formula with error bound by T. Ichinose and H. Tamura.
This page was built for publication: On three magnetic relativistic Schrödinger operators and imaginary-time path integrals
