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Implementing a Method for Stochastization of One-Step Processes in a Computer Algebra System
When modeling such phenomena as population dynamics, controllable flows, etc., a problem arises of adapting the existing models to a …
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Simple Model of Nonlinear Spin Waves in Graphene Structures
A series of theoretical and experimental works is known which investigated the magnetic properties of graphene structures. This is due, …
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Application of Functional Integrals to Stochastic Equations
Representing a probability density function (PDF) and other quantities describing a solution of stochastic differential equations by a …
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Using two Types of Computer Algebra Systems to Solve Maxwell Optics Problems
To synthesize Maxwell optics systems, the mathematical apparatus of tensor and vector analysis is generally employed. This mathematical …
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Quantum Field Theory Approach to the Analysis of One-Step Models
During development of methods for stochastization of one-step processes the attention was focused on obtaining the stochastic equations …
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One-Step Stochastic Processes Simulation Software Package
It is assumed that the introduction of stochastic in mathematical model makes it more adequate. But there is virtually no methods of …
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Maxwell's Equations in Arbitrary Coordinate System
The article is devoted to application of tensorial formalism for derivation of different types of Maxwell’s equations. The …
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An Application of Computer Algebra System Cadabra to Scientific Problems of Physics
In this article we present two examples solved in a new problem-oriented computer algebra system Cadabra. Solution of the same examples …
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Application of Two-Spinor Calculus in Quantum Mechanical and Field Calculations
This paper describes Lorentz two-spinors and proposes using them in calculations with Dirac four-spinors and quaternions.
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Kink-like Configurations of Interacting‭ ‬Scalar,‭ ‬Electromagnetic,‭ ‬and Gravitational Fields
We have obtained exact kink-like static plane-symmetric solutions to the self-consistent system of electromagnetic, scalar, and …
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