Solutions of Schrödinger equations on compact Lie groups via probabilistic methods (Q1868134)
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scientific article; zbMATH DE number 1901237
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Solutions of Schrödinger equations on compact Lie groups via probabilistic methods |
scientific article; zbMATH DE number 1901237 |
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Solutions of Schrödinger equations on compact Lie groups via probabilistic methods (English)
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27 April 2003
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By using probabilistic methods, global solutions of Schrödinger equations on compact connected semisimple Lie groups are constructed. The potential and initial conditions are taken from the algebra of trigonometric polynomials. For these the solutions exist in the \(L^2\)-sense and pointwise.
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Schrödinger equation
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Lie groups
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complexification
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Markov process
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\(C_0\)-semigroups
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