Feynman formulas for solutions of the Schrödinger equation on compact Riemannian manifolds
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Publication:5959489
DOI10.1023/A:1026688011742zbMath0995.58023OpenAlexW206923567MaRDI QIDQ5959489
O. G. Smolyanov, Aubrey Truman
Publication date: 23 October 2002
Published in: Mathematical Notes (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1026688011742
Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Heat and other parabolic equation methods for PDEs on manifolds (58J35)
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The Proof of the Feynman–Kac Formula for Heat Equation on a Compact Riemannian Manifold ⋮ Formulas that represent Cauchy problem solution for momentum and position Schrödinger equation ⋮ Chernoff approximation for semigroups generated by killed Feller processes and Feynman formulae for time-fractional Fokker-Planck-Kolmogorov equations
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