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Derivation of coupled equations of motion in the accelerators
New equations of motion to describe the coupling phenomena between the transverse and longitudinal coordinates in the accelerators are derived from...
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Survey of the hierarchical equations of motion in tensor-train format for non-Markovian quantum dynamics
This work is a pedagogical survey about the hierarchical equations of motion and their implementation with the tensor-train format. These equations...
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Discrete Painlevé Equations: A Review
We present a review of what is current knowledge about discrete Painlevé equations. We start with a historical introduction which explains how the...
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On Kinematic Description of the Motion of a Rigid Body
AbstractA system of ordinary differential equations has been derived for a vector of finite rotation corresponding to Euler’s theorem: the vector of...
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Model for Independent Particle Motion
Independent particle model in nuclear physics assumes that the nucleon in the nucleus moves in the average (mean field) potential generated by all...
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Hot Brownian Motion
The chapter deals with hot Brownian particles and swimmers as two examples for Brownian motion very far from equilibrium. Thanks to the strong scale...
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Model for Collective Motion
Collective motion is a manifestation of emergent phenomena in medium-heavy and heavy nuclei. A relatively large number of constituent nucleons...
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\( \mathcal{N} \) = 2 higher spins: superfield equations of motion, the hypermultiplet supercurrents, and the component structure
As a continuation of our previous papers ar**v:2109.07639 and ar**v:2202.08196 , we study the linearized structure of the manifestly 4 D,
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Microscopic Theory of Coherent Semiconductor Optics
The derivation of a microscopic many-body theory for the nonlinear optical response of semiconductors is reviewed. At the Hartree–Fock level, the...
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Fluid-electromagnetic helicities and knotted solutions of the fluid-electromagnetic equations
In this paper we consider an Euler fluid coupled to external electromagnetism. We prove that the Hopfion fluid-electromagnetic knot, carrying fluid...
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Model for Independent Particle Motion
Independent particle model in nuclear physics assumes that the nucleon in the nucleus moves in the average (mean field) potential generated by all...
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Unfolded Fierz-Pauli equations in three-dimensional asymptotically flat spacetimes
We utilise a quotient of the universal envelo** algebra of the Poincaré algebra in three spacetime dimensions, on which we formulate a covariant...
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Breakdown of smooth solutions to the Müller–Israel–Stewart equations of relativistic viscous fluids
We consider equations of Müller–Israel–Stewart type describing a relativistic viscous fluid with bulk viscosity in four-dimensional Minkowski space....
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Carrier-Transport Equations
The current in semiconductors is carried by electrons and holes. Their lattice polarization modifies the effective mass, expressed as a change to...
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Numerical Study of Heat Transfer Characteristic for Subcooled Falling Film outside the Shaped Tubes under Rolling Motion
The heat transfer performance of spiral wound heat exchanger used in the floating liquefied natural gas (FLNG) may be significantly affected by the...
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Blowup equations for little strings
We propose blowup equations for 6d little string theories which generalize Nakajima-Yoshioka’s blowup equations for the 4d/5d instanton partition...
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Model for Collective Motion
Collective motion is a manifestation of emergent phenomena in medium-heavy and heavy nuclei. A relatively large number of constituent nucleons...
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Generalized 11D supergravity equations from tri-vector deformations
In Bakhmatov et al. (Phys. Rev. D 105(8): L081904, 2022) we presented a modification of 11-dimensional supergravity field equations which upon...
