A unital $C^*$ -- algebra $mathcal A,$ endowed withthe Lie product $[x,y]=xy- yx$ on $mathcal A,$ is called a Lie$C^*$ -- algebra. Let $mathcal A$ be a Lie $C^*$ -- algebra and$g,h:mathcal A to mathcal A$ be $Bbb C$ -- linear mappings. A$Bbb C$ -- linear mapping $f:mathcal A to mathcal A$ is calleda Lie $(g,h)$ -- double derivation if$f([a,b])=[f(a),b]+[a,f(b)]+[g(a),h(b)]+[h(a),g(b)]$ for all ...

A simple derivation of the effective spin-wave Hamiltonian for a double-exchange system with infinitely large Hund’s-rule coupling is demonstrated. The formalism can be applied to models with arbitrary range of hopping as well as those with randomness. The result shows that, within the leading order of the 1/S expansion, one magnon excitation spectrum can be described by the Heisenberg model.

We tabulate angularly reduced fourth-order many-body corrections to matrix elements for univalent atoms, derived in [A. Emmons, Phys. Rev. A 65 , 052115 (2002)]. In particular we focus on practically important diagrams complementary to those included cluster method truncated at single and double excitations. Derivation and angular reduction of a large number of diagrams have the help of symboli...

In this paper we revisit several recent results on monotone and strictly monotone Hurwitz numbers, providing new proofs. In particular, we use various versions of these numbers to discuss methods of derivation of quantum spectral curves from the point of view of KP integrability and derive new examples of quantum curves for the families of double Hurwitz numbers.

The main results of the combinatorial theory of maximal biprefix codes of words (Ckari, Perrin, Schtitzenberger) are extended to the codes of paths in a graph in this paper: degree and decoding of double-infinite paths, finiteness of codes of a given degree, the CCsari-Schiitzenberger algorithm, derivation and integration of codes will be discussed.

We show that the BRST Lagrangian double copy construction of $\mathcal{N}=0$ supergravity as `square' Yang-Mills theory finds a natural interpretation in terms homotopy algebras. significantly expand on our previous work arguing validity at loop level, and we give detailed derivation copied operator. Our constructions are very general can be applied to vast set examples.

In this paper, the main transmission mechanism of double servo drive symmetrical toggle press was taken as object study. The theoretical derivation its motion characteristics carried out. A parametric model established to analyze rigid body kinematics. kinematic performance improved by rigid-flexible coupling. research results could provide an important reference for development large-tonnage w...

Self-energy corrections involving logarithms of the parameter Zα can often be derived within a simplified approach , avoiding calculational difficulties typical of the problematic non-logarithmic corrections (as customary in bound-state quantum electrodynamics, we denote by Z the nuclear charge number, and by α the fine-structure constant). For some logarithmic corrections, it is sufficient to ...

Self-energy corrections involving logarithms of the parameter Zα can often be derived within a simplified approach , avoiding calculational difficulties typical of the problematic non-logarithmic corrections (as customary in bound-state quantum electrodynamics, we denote by Z the nuclear charge number, and by α the fine-structure constant). For some logarithmic corrections, it is sufficient to ...

We study quadratic Lie algebras over a field K of null characteristic which admit, at the same time, a symplectic structure. We see that if K is algebraically closed every such Lie algebra may be constructed as the T∗-extension of a nilpotent algebra admitting an invertible derivation and also as the double extension of another quadratic symplectic Lie algebra by the one-dimensional Lie algebra...