A probabilistic formula for the quantum N-body problem and the nonlinear Schrödinger equation in operator algebra

DOI10.1016/0022-1236(86)90061-3zbMath0588.46046OpenAlexW2047952988MaRDI QIDQ1073309

Bernard Gaveau

Publication date: 1986

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(86)90061-3

zbMATH Keywords

Boltzmann equationPoisson processesprobabilistic formulaN-body quantum problem with pairwise interactionnonlinear Schrödinger equation with value in an operator algebra

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) (n)-body potential quantum scattering theory (81U10) Schrödinger operator, Schrödinger equation (35J10) Scattering theory of linear operators (47A40) Miscellaneous applications of functional analysis (46N99)

Cites Work

• Transformation canonique et renormalisation pour certaines équations d'évolution
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