Probabilistic approximation of the evolution operator \(e^{-itH}\) where \(H = \frac{( - 1)^m}{(2m)!} \frac{d^{2m}}{dx^{2m}}\)
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Publication:2243727
DOI10.1134/S1064562420020192zbMath1474.60176OpenAlexW3042980377MaRDI QIDQ2243727
S. V. Tcykin, Mariya V. Platonova
Publication date: 11 November 2021
Published in: Doklady Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1064562420020192
Applications of stochastic analysis (to PDEs, etc.) (60H30) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Cites Work
- Probabilistic approximation of solutions of the Cauchy problem for some evolution equations
- On a limit theorem related to probabilistic representation of solution to the Cauchy problem for the Schrödinger equation
- Global estimates of fundamental solutions for higher-order Schrödinger equations
- Probabilistic approximation of the evolution operator
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