×
Gudder, Stanley P.

Axiomatic operational quantum mechanics. (English) Zbl 0437.46058

Rep. Math. Phys. 16, 147-166 (1979).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0437.46058

Cited in 4 Documents

MSC:

46L51 Noncommutative measure and integration
46L53 Noncommutative probability and statistics
46L54 Free probability and free operator algebras
46A40 Ordered topological linear spaces, vector lattices
46N99 Miscellaneous applications of functional analysis
60B11 Probability theory on linear topological spaces
81P05 General and philosophical questions in quantum theory
81P20 Stochastic mechanics (including stochastic electrodynamics)
46A55 Convex sets in topological linear spaces; Choquet theory

Keywords:

operational approach to quantum theory; convex structure; state mixtures; countably infinite mixtures; sigma-convex structures; conditional expectations

Citations:

Zbl 0194.583; Zbl 0364.60007
Cite Review PDF
Full Text: DOI

References:

[1] Cornette, W. M.; Gudder, S. P., J. Math. Phys., 15, 842 (1974)
[2] Cycon, H.; Hellwig, K. H., J. Math. Phys., 18, 1154 (1977) · Zbl 0364.60007
[3] Dahn, G., Commun. Math. Phys., 9, 192 (1968) · Zbl 0164.29502
[4] Dahn, G., Commun. Math. Phys., 30, 69 (1973) · Zbl 0248.46053
[5] Davies, E. B., Commun. Math. Phys., 15, 277 (1969) · Zbl 0184.54102
[6] Davies, E. B., J. Funct. Anal., 6, 318 (1970) · Zbl 0198.59901
[7] Davies, E. B., Commun. Math. Phys., 19, 83 (1970) · Zbl 0199.28202
[8] Davies, E. B., Commun. Math. Phys., 22, 51 (1971) · Zbl 0217.50701
[9] Davies, E. B., Quantum Theory of Open Systems (1976), Academic Press: Academic Press New York · Zbl 0388.46044
[10] Davies, E. B.; Lewis, J. T., Commun. Math. Phys., 17, 239 (1970) · Zbl 0194.58304
[11] Dunford, N.; Schwartz, J. T., Linear Operators I (1958), Interscience: Interscience New York · Zbl 0084.10402
[12] Edwards, C. M., Commun. Math. Phys., 6, 207 (1970)
[13] Edwards, C. M., Commun. Math. Phys., 20, 26 (1971) · Zbl 0203.57001
[14] Edwards, C. M., Commun. Math. Phys., 24, 260 (1972) · Zbl 0227.46073
[15] Gudder, S. P., Commun. Math. Phys., 29, 249 (1973)
[16] Gunson, J., Commun. Math. Phys., 6, 262 (1967) · Zbl 0171.46804
[17] Hellwig, K.E., and K. Kraus: 11; Hellwig, K.E., and K. Kraus: 11
[18] Hellwig, K.E., and K. Kraus: ibid16; Hellwig, K.E., and K. Kraus: ibid16
[19] Holevo, A. S., Trans. Moscow Math. Soc., 26, 133 (1972) · Zbl 0289.62007
[20] Holevo, A. S., J. Multivariate Anal., 3, 337 (1973) · Zbl 0275.62004
[21] Ingarden, R. S., Reports Math. Phys., 10, 43 (1976) · Zbl 0366.94032
[22] Kraus, K., Ann. Phys., 64, 311 (1971) · Zbl 1229.81137
[23] Ludwig, G., Z. Naturforsch, 22a, 1303 (1967) · Zbl 0152.46201
[24] Ludwig, G., Z. Naturforsch, 22a, 1324 (1967) · Zbl 0152.46202
[25] Ludwig, G., Commun. Math. Phys., 4, 311 (1967)
[26] Ludwig, G., Commun. Math. Phys., 9, 1 (1968)
[27] Ludwig, G., Deutung des Begriffs physikalische Theorie, (Springer Lecture Notes in Physics 4 (1970), Springer-Verlag: Springer-Verlag Berlin) · Zbl 0204.29402
[28] Mielnik, B., Commun. Math. Phys., 9, 55 (1968) · Zbl 0164.29501
[29] Mielnik, B., Commun. Math. Phys., 15, 1 (1969) · Zbl 0182.59601
[30] Mielnik, B., Commun. Math. Phys., 32, 221 (1974)
[31] Srinivas, M. D., J. Math. Phys., 16, 1672 (1973)
[32] Stone, M. H., Ann. Math., 29, 25 (1949) · Zbl 0037.25002
[33] Stoltz, P., Commun. Math. Phys., 11, 303 (1969) · Zbl 0175.53001
[34] Stoltz, P., Commun. Math. Phys., 23, 117 (1971) · Zbl 0227.46080
[35] Varadarajan, V. S., Geometry of Quantum Theory I (1968), Van Nostrand: Van Nostrand Princeton, New Jersey · Zbl 0155.56802
[36] von Neumann, J.; Morgenstern, O., Theory of Games and Economic Behavior (1944), Princeton University Press: Princeton University Press Princeton, New Jersey · Zbl 0063.05930
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.