A probabilistic formula for the quantum N-body problem and the nonlinear Schrödinger equation in operator algebra (Q1073309)
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scientific article; zbMATH DE number 3944570
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A probabilistic formula for the quantum N-body problem and the nonlinear Schrödinger equation in operator algebra |
scientific article; zbMATH DE number 3944570 |
Statements
A probabilistic formula for the quantum N-body problem and the nonlinear Schrödinger equation in operator algebra (English)
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1986
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We give a probabilistic formula to solve the N-body quantum problem with pairwise interaction by Poisson processes which are similar to the one introduced by the second author in his study of the Boltzmann equation. We can deduce a probabilistic formula to solve the nonlinear Schrödinger equation with value in an operator algebra by a process taking its value in that operator algebra.
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probabilistic formula
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N-body quantum problem with pairwise interaction
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Poisson processes
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Boltzmann equation
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nonlinear Schrödinger equation with value in an operator algebra
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