Статья
2019
On Singular Perturbations of the Semigroup of Shifts on the Algebra of Canonical Anticommutation Relations
G. G. Amosov, E. O. Kholmogorov
Русская математика
https://doi.org/10.3103/S1066369X19110094
Abstract / Full Text
It is considered the problem of constructing a singular perturbation of the semigroup of shifts on the algebra of canonical anticommutation relations.
Author information
- Steklov Mathematical Institute of Russian Academy of Science, 8 Gubkina str., Moscow, 119991, RussiaG. G. Amosov & E. O. Kholmogorov
References
- Holevo, A.S. “On dissipative stochastic equations in a Hilbert space”, Probab. Theory Relat. Fields 104(4), 483–500 (1996).
- Holevo, A.S. “On singular perturbations of quantum dynamical semigroups”, Math. Notes 103(1–2), 133–144 (2018).
- Bratteli, O., Robinson, D. Operator algebras and quantum statistical mechanics. 2 (Springer, Berlin, 2002).
- Evans, D.E. “Completely positive quasi-free maps on the CAR algebra”, Commun. Math. Phys. 70(1), 53–68 (1979).