"This is an introduction to the mathematical foundations of quantum field theory, using operator algebraic methods and emphasizing the link between the mathematical formulations and related physical concepts. It starts with a general probabilistic description of physics, which encompasses both classical and quantum physics. The basic key physical notions are clarified at this point. It then introduces operator algebraic methods for quant ..."
"In the past decade, there has been a sudden and vigorous development in a number of research areas in mathematics and mathematical physics, such as theory of operator algebras, knot theory, theory of manifolds, infinite dimensional Lie algebras and quantum groups (as a new topics), etc. on the side of mathematics, quantum field theory and statistical mechanics on the side of mathematical physics. The new deve ..."
"Quantum theory is one of the most important intellectual developments in the early twentieth century. The confluence of mathematics and quantum physics emerged arguably from Von Neumann's seminal work on the spectral theory of linear operators. This volume arose from a two-month workshop held at the Institute for Mathematical Sciences at the National University of Singapore in July September 2008 on mathematical physics, focusing specif ..."
"This invaluable book presents reviews of some recent topics in the theory of Schroedinger operators. It includes a short introduction to the subject, a survey of the theory of the Schroedinger equation when the potential depends on the time periodically, an introduction to the so-called FBI transformation (also known as coherent state expansion) with application to the semi-classical limit of the S-matrix, an overview of inverse spectra ..."
"This is an introduction to the mathematical foundations of quantum field theory, using operator algebraic methods and emphasizing the link between the mathematical formulations and related physical concepts. It starts with a general probabilistic description of physics, which encompasses both classical and quantum physics. The basic key physical notions are clarified at this point. It then introduces operator algebraic methods for quant ..."
"In the past decade, there has been a sudden and vigorous development in a number of research areas in mathematics and mathematical physics, such as theory of operator algebras, knot theory, theory of manifolds, infinite dimensional Lie algebras and quantum groups (as a new topics), etc. on the side of mathematics, quantum field theory and statistical mechanics on the side of mathematical physics. The new development is characterized by ..."
"On the other hand , MARKOV DILATIONS ON THE 2x2 MATRICES Burkhard
Kümmerer Mathematisches Institut. every complex line bundle on s is trivial ,
because Tz ( U ( 1 ) ) = 0 . This means that cannot be decomposed into a Whitney
sum ..."
"Phys. B 314 (1989) 741-763. [26] R.J. Baxter, Phys. Lett. A 133 (1988) 185-189. [
27] G. Albertini, B.M. McCoy and J.H.H. Perk, Adv Studies in Pure Math. 19 (1989
) 1-55. [28] R.J. Baxter, J. Stat. Phys. 57 (1989) 1-39. [29] V.O. Tarasov, Phys. Lett.
A 147 (1990) 487-490. [30] B.M. McCoy and S. Roan, Phys. Lett. A 150 (1990)
347-354. [31] G. Albertini and B.M. McCoy, Nucl. Phys. B 350 (1991) 745-788. [32
] B.M. McCoy ICM-90 Satellite ..."
Geometric Methods in Operator Algebras Proceedings of the Us-Japan Seminar, Kyoto, July 1983 (Research Notes in Mathematics Series) von HuzihiroAraki, Edward G. Effros Paperback, 439 Seiten, Veröffentlicht 1986 von Longman Sc & Tech ISBN-13: 978-0-470-20376-7, ISBN: 0-470-20376-5
"Huzihiro Araki, Berthold-Georg Englert, Leong-Chuan Kwek. References ... I.
Bloch, “Quantum coherence and entanglement with ultracold atoms in optical
lattices,” Nature, 453, pp. 1016–1022, 2008. 5. G. K. Brennen, C. M. Caves, P. S.
Jessen and I. H. Deutsch, “Quantum logic gates in optical lattices,” Phys. Rev.
Lett., 82, pp. 1060–1063, 1999. 6. G. K. Brennen, I. H. Deutsch and P. S. Jessen, “
Entangling dipole-dipole interaction fo ..."
"G. D. Mostow : “Strong rigidity of locally symmetric spaces". Princeton Univ. Press
1973. W. L. Paschke and N. Salinas : "C"-algebras associated with free products
of groups". Pacific J. Math. 82 (1979) 21:1-221. D. S. Passmann : "The algebraic
structure of group rings". Wiley Interscience 1977. G. K. Pedersen : "C"-algebras
and their automorphism groups". Academic Press 1979. R.T. Powers : "Simplicity
of the C*-algebra associated ..."
"A book complementary to the above is the following one which explains
mathematical aspects of local operator algebra systems. 2. H. Baumgårtel and M.
Wollenberg: Causal Nets of Operator Algebras (Academic Press, 1992). The
reference ..."