O. Bratteli, and D.W. Robinson: Operator algebras and quantum statistical mechanics, 2 volumes, Springer Verlag, Berlin, Heidelberg, New York 1979. Home/Search Document Not in Database Summary Related Articles Check |
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A Partial Ordering of Sets, Making Mean Entropy Monotone - Baumgartner (2001) (Correct)
....is a translate of A (meaning, that there exists a translation, mapping A to B) we know that S(B) S(A) Now we are interested in relations between entropies assigned to different sets, with possibly different measures (A) One knows for some time already, see Propositions 6.2.25 and 6.2. 38 in [BR81], and [ABK01] with the references quoted there, of a subadditivity, a strong subadditivity, a triangle inequality, and a strong triangle inequality for entropies, and of the existence of the van Hove limit of the mean entropy, the entropy per unit volume (also called entropy density ) s(A) ....
O. Bratteli, D. W. Robinson: Operator algebras and Quantum Statistical Mechanics II, Springer Verlag, NY Heidelberg Berlin (1981)
Quantum Probability applied to the Damped Harmonic Oscillator - Maassen (Correct)
....space K are unitarily equivalent. However, this can not be concluded from von Neumann s uniqueness theorem, since the latter breaks down for in nite dimesional K. In this case there are indeed many inequivalent (non vacuum) representations, for instance those associated to positive temperatures [BrR]. Since e hf1 f2 ;g 1 g2 i = e hf1 ;g 1 i e hf2 ;g 2 i , a representation of the CCR over a direct sum K 1 K 2 of Hilbert spaces is isomorphic to the tensor product of the representations of the CCR over K 1 and K 2 . De nition. Let 0 (K) denote the linear span of the operators W (f ) ....
O. Bratteli, D.W. Robinson: Operator algebras and quantum statistical mechanics II, Springer 1981.
Quantum Information and Quantum Computing - These Are Lecture (Correct)
....dimension, provided the discrete convex combination is replaced by an integral. The mathematical theory concerned with integral decompositions into extreme points is known as Choquet theory. Recommended reading about this are the booklet by Phelps [Ph66] Alfsen s book [Alf71] and Chapter 4 in [BR79]. 2.11] For an entangled state of a composite system a measurement on one subsystem provides a natural convex decomposition of the reduced state of the other. Hence a mixed state analyzer could distinguish on one subsystem what observable is measured on the other. This would be just another ....
....means that A can either be a matrix algebra (quantum case) or the algebra of complex valued functions on a finite set (classical case) But I will typically use the phrase only in statements which are true for arbitrary C algebras. A good basic reference for C algebraic quantum theory is [BR79]. For a discussion of tensor products of C algebras (there are some tricky points here) I recommend [Ta79] Some advanced representation theory is in [Pe89] 2.23] In the classical case (finite or not) the observable algebra is a commutative C algebra, and hence of the form C(X) i.e. the ....
O. Bratteli and D.W. Robinson: Operator algebras and quantum statistical mechanics, 2 volumes, Springer Verlag, Berlin, Heidelberg, New York
Quantum Information Theory - an Invitation - Werner (2001) (2 citations) (Correct)
.... dimension are mostly straightforward, though, and in fact a strength of the algebraic approach to quantum theory is that it deals not just with infinite dimensional algebras, but also with systems of infinitely many degrees of freedom as in quantum field theory [34, 35] and statistical mechanics [17]. The first main type of systems are purely classical systems, whose observable 25 algebra is commutative, and can hence be considered as a space of complex valued functions on a set X. Our standing finiteness assumption requires that X is a finite set, and the observable algebra A will be ....
O. Bratteli and D. W. Robinson: Operator algebras and quantum statistical mechanics, vol. I (Springer 1979)
Markovian KMS-States for Onedimensional Spin Chains - Accardi, Liebscher (1999) (Correct)
.... conditional expectation E is determined by j (b 0 b) j (b 0 EP (b) 20) EP is given by 10) and j (b 0 E j 0 (c c 0 ) X j 00 jj 0 jj 0 (b 0 c) j 0 j 00 j 0 j 00 (c 0 1I) Remark 3 Please note that the symbol R is not a usual direct integral [8] because we need in 15 and additional P jn 1 to be present. In other words, it is like a Markovian direct integral. Remark 4 One can easily apply the above technique also to the inhomogeneous case. In fact, we did something similar for the bre state . 8 Proof. The structure of Markovian ....
O. Bratteli and D.W. Robinson Operator Algebras and Quantum Statistical Mechanics I 2nd edition Springer Berlin Heidelberg New York 1987
Preprint KUL-TF-92/23 Abundance of Translation Invariant Pure.. - On Quantum Spin (Correct)
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O. Bratteli, and D.W. Robinson: Operator algebras and quantum statistical mechanics, 2 volumes, Springer Verlag, Berlin, Heidelberg, New York 1979.
Universit ' E De Gen ` Eve - Schola Genevensis Mdlix (Correct)
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Bratteli, O. and D. Robinson: Operator Algebras and Quantum Statistical Mechanics II, New York, Springer (1981).
On the embedding of von Neumann subalgebras - Borchers Institut Fur (Correct)
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O. Bratteli, D.W. Robinson: Operator Algebras and Quantum Statistical Mechanics I, Springer Verlag, New York, Heidelberg, Berlin (1979).
Fluctuation Operators and Spontaneous Symmetry Breaking - Manfred Requardt Institut (Correct)
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O.Bratteli,D.W.Robinson: \Operator Algebras and Quantum Statistical Mechanics II", Springer, N.Y. 1981.
Fluctuation Operators and Spontaneous Symmetry Breaking - Manfred Requardt Institut (Correct)
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O.Bratteli,D.W.Robinson: \Operator Algebras and Quantum Statistical Mechanics I", sec.ed. Springer, N.Y. 1987
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O. Bratteli and D.W. Robinson Operator Algebras and Quantum Statistical Mechanics II
A Gibbs Theory for States of Boson Systems - Liebscher (Correct)
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O. Bratteli and D.W. Robinson Operator Algebras and Quantum Statistical Mechanics I
Generalized Beam Splittings and Related Quantum Flows - Accardi, Liebscher (Correct)
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O. Bratteli and D.W. Robinson Operator Algebras and Quantum Statistical Mechanics II 2nd edition Springer Berlin Heidelberg New York 1997
Generalized Beam Splittings and Related Quantum Flows - Accardi, Liebscher (Correct)
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O. Bratteli and D.W. Robinson Operator Algebras and Quantum Statistical Mechanics I 2nd edition Springer Berlin Heidelberg New York 1987
Note on Entangled Ergodic Theorems - Liebscher (Correct)
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O. Bratteli and D.W. Robinson Operator Algebras and Quantum Statistical Mechanics I 2nd edition Springer Berlin Heidelberg New York 1987
Characterization of Classical and Quantum Poisson.. - Fichtner.. (Correct)
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O. Bratteli and D.W. Robinson Operator Algebras and Quantum Statistical Mechanics II 2nd edition Springer Berlin Heidelberg New York 1997
Characterization of Classical and Quantum Poisson.. - Fichtner.. (Correct)
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O. Bratteli and D.W. Robinson Operator Algebras and Quantum Statistical Mechanics I 2nd edition Springer Berlin Heidelberg New York 1987
Characterization of Coherent and Mixed Coherent States by Beam.. - Liebscher (1999) (Correct)
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O. Bratteli and D.W. Robinson Operator Algebras and Quantum Statistical Mechanics second edition volume I Springer Berlin Heidelberg New York 1987
Characterization of Coherent and Mixed Coherent States by Beam.. - Liebscher (1999) (Correct)
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O. Bratteli and D.W. Robinson Operator Algebras and Quantum Statistical Mechanics volume II Springer Berlin Heidelberg New York 1981
Beam Splittings and Time Evolutions of Boson Systems - Fichtner, Freudenberg.. (Correct)
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O. Bratteli and D.W. Robinson Operator Algebras and Quantum Statistical Mechanics volume II Springer Berlin Heidelberg New York 1981
A Limit Theorem For Conditionally Independent Beam Splittings - Fichtner, Liebscher, Ohya (Correct)
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O. Bratteli and D. Robinson Operator Algebras and Quantum Statistical Mechanics I 2nd edition Springer Berlin Heidelberg New York 1987
A Limit Theorem for Quantum Markov Chains associated to Beam.. - Liebscher (Correct)
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O. Bratteli and D.W. Robinson Operator Algebras and Quantum Statistical Mechanics I 2nd edition Springer Berlin Heidelberg New York 1987
Quantum Information Theory - an Invitation - Werner (2001) (2 citations) (Correct)
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O. Bratteli and D. W. Robinson: Operator algebras and quantum statistical mechanics, vol. I (Springer 1979)
A Limit Theorem for Quantum Markov Chains associated to Beam.. - Liebscher (2001) (Correct)
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O. Bratteli and D.W. Robinson Operator Algebras and Quantum Statistical Mechanics I 2nd edition Springer Berlin Heidelberg New York 1987
Markovian KMS-States for Onedimensional Spin Chains - Accardi, Liebscher (1999) (Correct)
No context found.
O. Bratteli and D.W. Robinson Operator Algebras and Quantum Statistical Mechanics II 2nd edition Springer Berlin Heidelberg New York 1997
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