Geodesic
On the Strong Resolvent Convergence of the Schrödinger Evolution to Quantum Stochastics
Matematičeskie zametki, Tome 74 (2003) no. 5, pp. 762-781 
A. M. Chebotarev; G. V. Ryzhakov. On the Strong Resolvent Convergence of the Schrödinger Evolution to Quantum Stochastics. Matematičeskie zametki, Tome 74 (2003) no. 5, pp. 762-781. http://geodesic.mathdoc.fr/item/MZM_2003_74_5_a12/
@article{MZM_2003_74_5_a12,
     author = {A. M. Chebotarev and G. V. Ryzhakov},
     title = {On the {Strong} {Resolvent} {Convergence} of the {Schr\"odinger} {Evolution} to {Quantum} {Stochastics}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {762--781},
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     volume = {74},
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     url = {http://geodesic.mathdoc.fr/item/MZM_2003_74_5_a12/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

For a class of Hamiltonians including a model of the quantum detector of gravitational waves, we prove the strong convergence of the Schrödinger evolution to quantum stochastics. We show that the strong resolvent limit of a sequence of self-adjoint Hamiltonians is a symmetric boundary-value problem in Fock space, and the limit evolution of the partial trace with respect to the mixed state cannot be described by a unique equation of Lindblad type. On the contrary, each component of the mixed state generates a proper evolution law.

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