Spinor-Like Hamiltonian for Maxwellian Optics
Background Spinors are more special objects than tensor. Therefore possess more properties than the more generic objects such as tensors. Group of Lorentz two-spinors is the …
Background Spinors are more special objects than tensor. Therefore possess more properties than the more generic objects such as tensors. Group of Lorentz two-spinors is the …
Background. Presentation of probability as an intrinsic property of the nature leads researchers to switch from deterministic to stochastic description of the phenomena. On the …
Background. Presentation of probability as an intrinsic property of the nature leads researchers to switch from deterministic to stochastic description of the phenomena. On the …
The mathematical model of light propagation in a planar gradient optical waveguide consists of the Maxwell's equations supplemented by the matter equations and boundary conditions. …
Background. By the means of the method of stochastization of one-step processes we get the simplified mathematical model of the original stochastic system. We can explore these …
The models of peer to peer protocols are presented with the help of one-step processes. On the basis of this presentation and the method of randomization of one-step processes, it …
The problem of RED-module mathematical model results verification, based on GNS3 experimental stand, is discussed in this article. The experimental stand consists of virtual Cisco …
This paper considers three types of tensor computations. On their basis, we attempt to formulate criteria that must be satisfied by a computer algebra system dealing with tensors. …
This paper describes Lorentz two-spinors and proposes using them in calculations with Dirac four-spinors and quaternions.
In this article we present two examples solved in a new problem-oriented computer algebra system Cadabra. Solution of the same examples in widespread universal computer algebra …