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A family of horizon-penetrating coordinate systems for the Schwarzschild black hole geometry with Cauchy temporal functions
We introduce a new family of horizon-penetrating coordinate systems for the Schwarzschild black hole geometry that feature time coordinates, which...
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Solution of Schrödinger Equation: Boundary and Continuity Conditions in Coordinate Representation
In this chapter, it is shown in general how boundary and continuity conditions lead to eigen solutions: discrete for localized and continuous for...
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Coordinate-Independent Definition of Relative Velocity in Pseudo-Riemannian Space-Time: Implications for Special Cases
AbstractUsing the general solution that we recently obtained for the coordinate-independent definition of a relative velocity of a luminous source as...
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The Total Simplified Lagrangian of the Gravity in a Cartesian Coordinate System
The total simplified Lagrangian in
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Time Measurement and Lorentz Coordinate Transformations
We introduce graphic representation of the Lorentz coordinate transformation. The consistency of time dilation with LT is illustrated, and we show:...
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Coordinate Systems
Coordinate systems play an important rôle in many areas of physics. Focus of this chapter is coordinates for which the three dimensional...
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QIPC: A novel quantum representation model for polar coordinate images
Quantum image representation plays an important role in quantum information processing. In this paper, a bit-plane representation of quantum images...
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Selections and Transformations of Coordinate Systems
The main content of orbital dynamics is about solving a dynamical problem.
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The role of Pryce’s spin and coordinate operators in the theory of massive Dirac fermions
It is shown that the components of Pryce’s spin operator of Dirac’s theory are SU (2) generators of a representation carried by the space of Pauli’s...
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Some Consequences of the Lorentz Coordinate Transformation
The invariance of proper time under Lorentz coordinate transformations is demonstrated. The addition theorem of velocities is presented both for the...
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How Coordinate Bethe Ansatz Works for Inozemtsev Model
Three decades ago, Inozemtsev discovered an isotropic long-range spin chain with elliptic pair potential that interpolates between the Heisenberg and...
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Characteristics of a Distributed Locational System with an Ultra-Wideband Probing Signal
AbstractNumerical modeling is used to study the characteristics of an ultra-wideband distributed probing system for different network configurations....
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Development of Methods for Navigational Referencing of Circumlunar Spacecrafts to the Selenocentric Dynamic Coordinate System
AbstractThe initial form of present-day space optical observations contain considerable geometrical and brightness distortions. This problem can be...
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Dependence of the Coordinate Measurement Error of Geometric Elements’ Shape Characteristics on the Control Point Number
This article presents issues in estimating the coordinate measurement error of geometric elements’ shape characteristics of products depending on the...
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Tensor Operations in Orthogonal Curvilinear Coordinate Systems
The vector andCurvilinear coordinate system tensor operations we have discussed in the foregoing chapters were performed solely in rectangular...
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Using Spherical Harmonics in the Galactocentric Coordinate System to Study the Kinematics of Globular Star Clusters
AbstractThe technique of spherical harmonics, both scalar and vector ones, has long been applied to analyze the astronomical data on a sphere, for...
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The predictive model for the universe rotation axis identification upon applying the solar system coordinate net in the Milky Way galaxy
In this article, we discuss the theoretical and practical preconditions of identification of the Universe rotation axis using the digital images of...
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A new model of covariant electrodynamics of moving media based on an alternative coordinate transformation relation instead of the usual Lorentz transformation
There exist persistently unsolved problems in electrodynamics of moving media, which are usually related to application of Lorentz transformation. In...
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Concept of a Diagnostic System for Measuring the Electron Temperature Profile of Plasma from the Intensity of Electron Cyclotron Emission for the TRT Facility
AbstractThe paper presents a concept of the ECE diagnostic for the TRT facility and estimates the achievable measurement parameters in the baseline...
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Control of the Process of Rapprochement of a Tether System with a Passive Space Object in a Near-Circular Orbit
AbstractThe article deals with the control of the process of rapprochement of a tether system with a passive space object (cargo, space debris, etc.)...
