Norm convergence of the Lie-Trotter-Kato product formula and imaginary-time path integral

zbMATH Open0988.47026MaRDI QIDQ2718436

Takashi Ichinose

Publication date: 27 June 2002

Published in: Journal of the Korean Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

semigroupSchrödinger operatorFeynman-Kac formulaLie-Trotter-Kato product formula

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Brownian motion (60J65) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Measure (Gaussian, cylindrical, etc.) and integrals (Feynman, path, Fresnel, etc.) on manifolds (46T12)

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