scholarly journals Quantum Hydrodynamics of Spinning Particles in Electromagnetic and Torsion Fields

Universe ◽  
2021 ◽  
Vol 7 (12) ◽  
pp. 498
Author(s):  
Mariya Iv. Trukhanova ◽  
Yuri N. Obukhov
Keyword(s):  
Quantum System ◽  
Closed System ◽  
Continuity Equation ◽  
Momentum Balance ◽  
System Of Equations ◽  
Dirac Fermions ◽  
Quantum Hydrodynamics ◽  
Dynamical Equations ◽  
Decomposition Approach ◽  
The Many

We develop a many-particle quantum-hydrodynamical model of fermion matter interacting with the external classical electromagnetic and gravitational/inertial and torsion fields. The consistent hydrodynamical formulation is constructed for the many-particle quantum system of Dirac fermions on the basis of the nonrelativistic Pauli-like equation obtained via the Foldy–Wouthuysen transformation. With the help of the Madelung decomposition approach, the explicit relations between the microscopic and macroscopic fluid variables are derived. The closed system of equations of quantum hydrodynamics encompasses the continuity equation, and the dynamical equations of the momentum balance and the spin density evolution. The possible experimental manifestations of the torsion in the dynamics of spin waves is discussed.

scholarly journals Rolls of the internal gravity waves in the Earth's atmosphere

2014 ◽  
Vol 32 (2) ◽  
pp. 181-186 ◽  
Author(s):  
O. Onishchenko ◽  
O. Pokhotelov ◽  
W. Horton ◽  
A. Smolyakov ◽  
T. Kaladze ◽  
...  
Keyword(s):  
Nonlinear Dynamics ◽  
Gravity Waves ◽  
Closed System ◽  
Wind Shear ◽  
Internal Gravity Waves ◽  
Temperature Gradients ◽  
System Of Equations ◽  
Vertical Temperature ◽  
Earth’S Atmosphere ◽  
Earth's Atmosphere

Abstract. The effect of the wind shear on the roll structures of nonlinear internal gravity waves (IGWs) in the Earth's atmosphere with the finite vertical temperature gradients is investigated. A closed system of equations is derived for the nonlinear dynamics of the IGWs in the presence of temperature gradients and sheared wind. The solution in the form of rolls has been obtained. The new condition for the existence of such structures was found by taking into account the roll spatial scale, the horizontal speed and wind shear parameters. We have shown that the roll structures can exist in a dynamically unstable atmosphere.

Losing Sight of the Forest for the ψ‎

2020 ◽  
pp. 185-211
Author(s):  
Alisa Bokulich
Keyword(s):  
Quantum Theory ◽  
Quantum State ◽  
Configuration Space ◽  
Mathematical Formalism ◽  
Alternative Formulation ◽  
Quantum Hydrodynamics ◽  
Many Body ◽  
Quantum Realism ◽  
The World ◽  
The Many

Traditionally \1 is used to stand for both the mathematical wavefunction (the representation) and the quantum state (thing in the world). This elision has been elevated to a metaphysical thesis by advocates of wavefunction realism. The aim of Chapter 10 is to challenge the hegemony of the wavefunction by calling attention to a littleknown formulation of quantum theory that does not make use of the wavefunction in representing the quantum state. This approach, called Lagrangian quantum hydrodynamics (LQH), is a full alternative formulation, not an approximation scheme. A consideration of alternative formalisms is essential for any realist project that attempts to read the ontology of a theory off the mathematical formalism. The chapter shows that LQH falsifies the claim that one must represent the many-body quantum state as living in 3n-dimensional configuration space. When exploring quantum realism, regaining sight of the proverbial forest of quantum representations beyond the \1 is just the beginning.

scholarly journals A self-closed system of equations of damage evolution

1996 ◽  
Vol 78 (3-4) ◽  
pp. 331-334 ◽  
Author(s):  
Y. L. Bai ◽  
M. F. Xia ◽  
F. J. Ke ◽  
W. S. Han ◽  
B. Fang
Keyword(s):  
Closed System ◽  
Damage Evolution ◽  
System Of Equations

scholarly journals The Dual Continuity Equations

2018 ◽  
Author(s):  
Arbab Arbab ◽  
Norah N. Alsaawi
Keyword(s):  
Electromagnetic Field ◽  
Wave Equation ◽  
Gauge Invariance ◽  
Maxwell Equations ◽  
Continuity Equation ◽  
Mathematical Structure ◽  
Magnetic Monopoles ◽  
System Of Equations ◽  
Duality Transformation ◽  
Continuity Equations

The ordinary continuity equation relating the current and density of a system is extended to incorporate systems with dual (longitudinal and transverse) currents. Such a system of equations is found to have the same mathematical structure as that of Maxwell equations. The horizontal and transverse currents and the densities associated with them are found to be coupled to each other. Each of these quantities are found to obey a wave equation traveling at the velocity of light in vacuum. London's equations of super-conductivity are shown to emerge from some sort of continuity equations. The new London's equations are symmetric and are shown to be dual to each other. It is shown that London's equations are Maxwell's equations with massive electromagnetic field (photon). These equations preserve the gauge invariance that is broken in other massive electrodynamics. The duality invariance may allow magnetic monopoles to be present inside superconductors. The new duality is called the comprehensive duality transformation.

Quantum hydrodynamics and the theory of liquid helium

1953 ◽  
Vol 219 (1137) ◽  
pp. 257-270 ◽  
Keyword(s):  
Energy Spectrum ◽  
Liquid Helium ◽  
Fluid Velocity ◽  
Second Sound ◽  
Quantum Hydrodynamics ◽  
Dynamical Equations ◽  
Helium Ii ◽  
Apparent Variation ◽  
Theory Of Fields ◽  
Good Agreement

The Clebsch formula, u = –∇ ϕ – χ ∇ ψ , for the fluid velocity allows the classical hydro-dynamical equations, including vorticity, to be derived from a variational principle, and put into canonical form. The standard quantization procedure of the theory of fields then gives a set of field operators satisfying the commutation relations obtained (starting from different premises) by Landau (1941). The Hamiltonian contains terms corresponding to the excitation of the ‘roton’ states of Landau’s theory, with an energy spectrum (allowing for the atomicity of real liquids by a ‘cut off’ in the Fourier analysis of the field variables) of the form E = ∆ + p 2 /2 μ . The observed variations of specific heat and second-sound velocity in liquid helium II may be interpreted to give values of ∆ in good agreement with the theory, with an apparent variation of μ with p , perhaps attributable to roton-roton and phonon-roton interactions.

scholarly journals Energy evolution in many-particle quantum hydrodynamics of spinning plasmas

2016 ◽  
Vol 30 (04) ◽  
pp. 1650023
Author(s):  
Mariya Iv. Trukhanova
Keyword(s):  
Evolution Equation ◽  
Thermal Energy ◽  
Schrodinger Equation ◽  
Fundamental Equation ◽  
Quantum Evolution ◽  
Energy Evolution ◽  
Quantum Hydrodynamics ◽  
Spinning Particles ◽  
Energy Current ◽  
The Many

In this paper, we develop a quantum hydrodynamics (QHD) method for the research of the quantum evolution of a system of spinning particles. We derived the fundamental equation for charged and neutral spinning particles — the energy evolution equation from the many-particle microscopic Schrödinger equation with a spin–spin and Coulomb modified Hamiltonian. We derive the spin contributions to the energy evolution equation, thermal energy and thermal energy current.

scholarly journals Waves of spin current in magnetized dielectrics

2015 ◽  
Vol 29 (13) ◽  
pp. 1550077 ◽  
Author(s):  
P. A. Andreev ◽  
L. S. Kuz'menkov
Keyword(s):  
Continuity Equation ◽  
Three Dimensional ◽  
Spin Current ◽  
Bloch Equation ◽  
Collective Excitations ◽  
Current Leads ◽  
New Type ◽  
Quantum Hydrodynamic ◽  
The Many ◽  
The Waves

Spin current is an important physical quantity in present day spintronics and it might be very useful in the physics of quantum plasmas of the spinning particles. Thus it is important to have an equation of the spin current evolution. This equation naturally appears as a part of the set of quantum hydrodynamic (QHD) equations. Consequently, we present the set of QHD equations derived from the many-particle microscopic Schrödinger equation, which consists of the continuity equation, the Euler equation, the Bloch equation and the equation of the spin current evolution. We use these equations to study the dispersion of the collective excitations in the three-dimensional samples of the magnetized dielectrics. We show that the dynamics of the spin current leads to the formation of new type of the collective excitations in the magnetized dielectrics, which we called the spin current waves. We focus our attention on the waves propagating perpendicular to the external magnetic field.

scholarly journals Approximation of many-particle distribution functions for ferromagnetics with different crystal lattices

2021 ◽  
pp. 1-22
Author(s):  
Anton Valerievich Ivanov
Keyword(s):  
Particle Distribution ◽  
Nearest Neighbors ◽  
Bbgky Hierarchy ◽  
Distribution Functions ◽  
Atomistic Simulations ◽  
System Of Equations ◽  
Crystal Lattices ◽  
Face Centered ◽  
The Many ◽  
New System

We propose the new system of equations for magnetodynamics. Thus we call the new system of equations correlational magnetodynamics system (CMD). It consists of well known Landau–Lifshitz–Bloch(LLB) equation complemented with an equation for two-particles correlations. It is based on BBGKY hierarchy, the key issue is the approximation of the many-particle distribution functions taking into account the correlations between the nearest neighbors for different (primitive, body-centered and face-centered) crystal lattices. Compared to traditional LLB equation, numerical simulations with CMD produces results that are closer to atomistic simulations.

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