[PDF] Top 20 A general quantum difference calculus

... The quantum calculus is known as the calculus without ...a quantum difference operator which allows to deal with sets of nondiffer- entiable ...functions. Quantum difference operators have ... See full document

... Quantum difference operator allows us to deal with sets of non-differentiable functions. Its applications are used in many mathematical fields such as the calculus of variations, orthogonal polynomials, basic ... See full document

... tum calculus. In recent years, the topic of q-calculus has attracted the attention of several researchers and a variety of new results can be found in [–] and the references cited ... See full document

... In general, when this method, or its many Poisson–Sch forms, is used to solve the Poisson–Sch inequality problem, a key element for implementing this is to find the pro- jection ...a general convergence the- ... See full document

... differential calculus integral inequalities of Hölder, Cauchy–Schwarz, Minkowski, Grönwall, Bernoulli, and ...a calculus based on a derivative also generalizing (6) and (7), but one will remark that even if ... See full document

... Many physical phenomena are described by equations involving nondifferentiable func- tions, e.g., generic trajectories of quantum mechanics []. Several different approaches to deal with nondifferentiable functions ... See full document

... large-scale quantum computer may be some years away, there are already commercial implementations of secure communication using quantum ...of quantum systems. In this thesis, we focus on the use of ... See full document

... Itô calculus formulation operator composition of QS integrals is ...of quantum semimartingale algebras and the theory of quantum square and angle brackets [2, ...the general existence and ... See full document

... 2015. Quantum integral inequalities for convex ...2013. Quantum calculus on finite intervals and applications to impulsive difference ... See full document

... q-difference operator when β(t) = qt , q ∈ (, ); see [–]. In [], [, Chapter ], the definition of the β-derivative, the β-integral, the fundamental theorem of β-calculus, the chain rule, Leibniz’s formula ... See full document

... definition of q-integration is reduced to a finite sum, which is the restriction of definition of q-integral. From this point, our results generalized the classical definitions of fractional q-integrals and q-derivatives by ... See full document

... forms due to its properties. It may be linear or nonlinear. Accordingly, it has no fixed points or has at least one. Every choice of the function β gives a new difference operator. Thus, we can obtain a wide class of ... See full document

... Quantum calculus is the modern name for the investigation of calculus without ...The quantum calculus or q-calculus began with FH Jackson in the early twentieth century, but this ... See full document

... tum calculus. In recent years, the topic of q-calculus has attracted the attention of several researchers and a variety of new results can be found in the papers [–] and the refer- ences cited ... See full document

... the quantum discord and entanglement between two isolated two-level atoms which are initially prepared in Werner state and each atom interacts with a thermal cavity field by considering the atomic motion and the ... See full document

... determinism to rediscover its traditional status as a guiding thread for research. But we have been disabused of even this hope. For in hidden variable theories, the determinist stance does indeed seem to have been lost, ... See full document

... a quantum state can be locally broad- cast, we generalize the surprisal of measurement recover- ability to obtain a hierarchy of numerically computable bounds converging to ...in quantum information (see, ... See full document

... Westminster College International Business studies reach across multiple disciplines to offer you a liberal arts program oriented in the complex world of international business. The business administration major covers ... See full document

... on the nonlinearity, we introduced a new type of quantum calculus via the Morse theory and variational methods. By applying the well-known Banach fixed point theorem in con- junction with the technique of ... See full document

... The first section discusses general issues concerning the use of first-order logic or the h-calculus to represent meanings, The second section describes how h-calculus meaning representa[r] ... See full document