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Showing 1 to 16 of 16 for “"Commutators"”.
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Ideals and Commutators of Operators
… operators with coefficient constraints. </p><p>Commutators of compact operators. The 1971 commutator problem asked by Pearcyand Topping is investigated: Is every compact operator a single commutator of compactoperators? And a 1976 test question arising from work of Pearcy, Topping, Anderson …
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Commutators and dyadic paraproducts on weighted Lebesgue spaces
… norm on weighted Lebesgue space L^2(w) of the commutators of the Hilbert, Riesz and Beurling transforms with a BMO function b depends quadratically on the A2 characteristic of the weight, as opposed to the linear dependence known to hold for the operators themselves. It is known that the …
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On Loop Commutators, Quaternionic Automorphic Loops, and Related Topics
<p>This dissertation deals with three topics inside loop and quasigroup theory. First, as a continuation of the project started by David Stanovský and Petr Vojtĕchovský, we study the commutator of congruences defined by Freese and McKenzie in order to create a more pleasing, equivalent definition …
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The annihilation graphs of commutator posets and lattices
… algebraic structure admitting a "good" theory of commutators is also considered.
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Miki Images of Quantum Toroidal Algebra Generators in the Shuffle Algebra
… toroidal algebra. There, we will be computing commutators, which are equal to images under the Miki automorphism, though are much simpler to compute.
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An application of the Liouville resolvent method to the study of fermion-boson couplings
… of the method entails the calculation of commutators of a second-quantized Hamiltonian operator with particular generalized stepping operators that are elements of a Hilbert space and that represent transitions between many-particle states. These commutators produce linear combinations of …
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A variational theory of nuclear matter
… is derived. It is an expansion in powers of commutators of the non-central operators, and in their absence reduces to the usual Mayer cluster expansion. Evaluation of diagrams in the cluster expansion is complicated by the presence of the non-commuting operators. Some simple rules and useful …
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Sparse technology in weighted harmonic analysis
… bilinear fractional integral operators and their commutators with BMO functions. We also prove a maximal function control theorem for these operators, that is, we prove that the weighted $L^p$ norm is bounded by the weighted $L^p$ norm of a natural maximal operator when the weight belongs to …
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Quantum field theories on the light front
… Schwinger terms in the equal-x+ stress tensor commutators is demonstrated. This new formulation is used to find spectral sum rules and leading singularities of both the Green's function and the product of field operators near the light front. The implications for current algebra sum rules are …
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Interference and correlation effects in multimode quantum systems. Multimode systems.
… It is well known that the vanishing of field commutators between regions that cannot be connected by subluminal signals reflects the locality of quantum field theory. But is it possible that these spacelike regions exhibit correlations that violate Bell type inequalities? This is the main …
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Graph products of groups
… that is, a group in which the only relators are commutators of generators. Baudisch was mainly concerned with subgroup problems, employing length arguments on the elements of these groups. More recently Droms and Servatius have continued the study of semifree, or graph groups, as they call them. …
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High accuracy computational methods for the semiclassical Schrödinger equation
… Magnus expansions that feature nested commutators of matrices. An analysis of these operatorial splittings and expansions is carried out by characterising the highly oscillatory behaviour of the solution.
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A CATEGORICAL-ALGEBRAIC EXPLORATION OF MODELS FOR MANY-VALUED LOGIC
… we use them to define a non-pointed version of commutators between ideal subalgebras. In the last part of the thesis, we use the case of MV-algebras as a guideline to develop a non-pointed version of the theory of protoadditive functors. In particular, we show that, under some mild assumptions, …
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Derivations on operator algebras
… quantum mechanics. The results of Section 2.2 (Commutators) are due to various authors, mainly obtained from Sakai, S. [22). A detailed proof of Theorem 45 is given. Section 2.3 (Differentiability) contains some Singer-Wermer results mainly obtained from Mathieu, M. and Murphy, G.J. [13) and …
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Condition Monitoring of VSD-fed Induction Motors
… amidst the various motor drives not utilising commutators [1]. They consist of an induction motor (IM) fed from a variable frequency AC inverter. They are mostly used in applications which need good dynamic and steady state performance over a large range of speeds [2]. The induction motor is …