: Deformation theory applied to quantization and group representations. In: Lecture Notes in Physics, Vol. 153, pp. 314-318. Berlin, Heidelberg, New York: Springer 1982Sternheimer, D. : Deformation theory applied to quantization and group representations. In: Berlin, tteidelberg, New York: ...
Symmetry groups are conveniently studied with the help of the general mathematical techniques of what is called group theory, the fundamentals of which we shall explain below. At first we shall consider groups, each of which contains a finite number of transformations (known as finite groups). Ea...
No Exploring and managing the complexity of large infrastructure projects with network theory and model-based systems engineering—The example of radioactive waste disposal No Ethically Responsible Machine Learning in Fintech No Metamodel extension approach applied to the model-driven development of mobile...
-algebras or on sobolev spaces. on the other hand, recent contributions in the theory of positive dynamical systems show that, even if one starts with a positive \(c_0\) -semigroup on a banach lattice x , one typically has to leave the class of banach lattices if one extends the order...
The papers included here deal with the many faces of renormalization group formalism as it is used in different branches of theoretical physics. The subjects covered emphasize various applications to the theory of turbulence, chaos, quantum chaos in dynamical systems, spin systems and vector models....
In the present instance, this applies to H = Ck, with U (k) and U (1) being the dual pair in Sp(2k, R). (Cf. [35] for the theory of these pairs in the infinite-dimensional setting.) The construction of the induced space F1 is effortless in this case. The fact that Marsden-...
In many respects this can be explained to two main reasons: (i) many researchers do not incorporate the equivalence transformation theory to the classification problem; (ii) overdetermined systems of PDEs derived from the invariance criterion of parameterized PDEs under consideration often cannot be ...
and application to realization theory.- Some applications of the theory of semigroups to automata.- Position space renormalization group.- Static solitons in more than one dimension.- Remarks on the energy representation of Sobolev-Lie groups.- Unbounded representations of the Poincare and gauge ...
Both for the modelling of open quantum systems and purely mathematical questions in noncommutative probability, operator algebra theory, etc., one is often not interested in arbitrary quantum Markov semigroups, but quantum Markov semigroups that are 382 M. Vernooij, M. Wirth symmetric with respect...
The latter representation is fixed by a polarization H = H+ ⊕ H− of a complex Hilbert space H . To each vector v ∈ H is associated a pair a∗(v), a(v) in the CAR algebra, the first is linear in v, whereas the second is antilinear, and they obey the anticommutation ...