منابع مشابه
The Generalized Peierls Bracket
We first extend the Peierls algebra of gauge invariant functions from the space S of classical solutions to the space H of histories used in path integration and some studies of decoherence. We then show that it may be generalized in a number of ways to act on gauge dependent functions on H. These generalizations (referred to as class I) depend on the choice of an “invariance breaking term,” wh...
متن کاملPara-Generalization of Peierls Bracket Quantization
A convenient formalism is developed to treat classical dynamical systems involving (p = 2) parafermionic and parabosonic dynamical variables. This is achieved via the introduction of a parabracket which summarizes the paracommutation relations of the corresponding Green components in a uni ed manner. Furthermore, it is shown that Peierls quantization scheme may be applied to such systems provid...
متن کاملGeneralized Bracket Function Inverse Pairs
The aim of this paper is to prove the existence of inverse pairs for a certain class of numbertheoretic functions. An application of the result is also illustrated. The motivation comes from the study of functions such as Ck(n)= £ l and **(»)= I 1 • a>\ (ah...,ak) = l Gould [1] showed that Ck(n) = Hd\nRk(d) and that i^(/0 has an inverse. In [5] a pair of functions similarly related is also stud...
متن کاملOptimality of double bracket and generalized double bracket flows
In this paper we consider the optimal structure of double bracket flows and generalisations of these flows to more complex gradient flows. We discuss different notions of optimality and the relationship of the flows to the structure of convex polytopes.
متن کاملAspects of generalized double-bracket flows
In this paper we analyse generalizations of double-bracket flows to more complex isospectral equations of the form Y ′ = [Y , [G(Y −N ), Y ]], t ≥ 0, over real symmetric matrices. The new flows possess a nontrivial equilibrium structure which we explore. We discuss the stability of these equilibria. We also discuss the relationship of the new flows to the structure of (convex) Horn–Schur polyto...
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ژورنال
عنوان ژورنال: Annals of Physics
سال: 1994
ISSN: 0003-4916
DOI: 10.1006/aphy.1994.1117