Directionally continuous quantum stochastic differential equations (Q2892422)
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scientific article; zbMATH DE number 6047513
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Directionally continuous quantum stochastic differential equations |
scientific article; zbMATH DE number 6047513 |
Statements
18 June 2012
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quantum stochastic calculus
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directionally continuous coefficients
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Directionally continuous quantum stochastic differential equations (English)
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The paper under review is concerned with the study of quantum stochastic differential equations (QSDE) à la Hudson-Parthasarathy with bounded operator-valued directionally continuous coefficients. The existence result for such QSDE is stated and certain properties of the solution sets formulated, generalising the earlier work of the authors for coefficients continuous in the usual sense. There seems to be certain ambiguity as to what is precisely the notion of the solution used (the proofs apparently construct a solution separately for each choice of `test functions').
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