×

Some semigroups of completely positive maps on the CCR algebra. (English) Zbl 0375.46052


MSC:

46L05 General theory of \(C^*\)-algebras
47D03 Groups and semigroups of linear operators
46N99 Miscellaneous applications of functional analysis
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Araki, H., Hamiltonian formalism and the canonical commutation relations in quantum field theory, J. Math. Phys., 1, 492-504 (1960) · Zbl 0099.22906
[2] Davies, E. B., Some contraction semigroups in quantum probability, Z. Wahrscheinlichkeitstheorie verw. Geb., 23, 261-273 (1972) · Zbl 0231.20023
[3] Davies, E. B., Diffusion for weakly coupled quantum oscillators, Commun. Math. Phys., 27, 309-325 (1972)
[4] Evans, D. E., Completely positive bounded linear maps, preprint DIAS-TP-75-45 (1975)
[5] Evans, D. E.; Lewis, J. T., Dilations of dynamical semigroups, preprint DIAS-TP-76-4 (1976) · Zbl 0402.46039
[6] Lindblad, G., On the generators of quantum dynamical semigroups, (preprint TRITA-TFY-75-1 (1975), Royal Institute of Technology: Royal Institute of Technology Stockholm) · Zbl 0343.47031
[7] Segal, I. E., Foundations of the theory of dynamical systems of infinitely many degrees of freedom II, Canad. J. Math., 13, 1-18 (1961) · Zbl 0098.22104
[8] Segal, I. E., Mathematical characterization of the physical vacuum for a linear Bose-Einstein field, Ill. J. Math., 6, 500-523 (1962) · Zbl 0106.42804
[9] Slawny, J., On factor representations and the \(C^∗\)-algebra of canonical commutation relations, Commun. Math. Phys., 24, 151-170 (1972) · Zbl 0225.46068
[10] Stinespring, W. F., Positive functions on \(C^∗\)-algebras, (Proc. Amer. Math. Soc., 6 (1955)), 211-216 · Zbl 0064.36703
[11] Størmer, E., Springer Lecture Notes Phys., 29, 85-106 (1974)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.