scholarly journals On dimensional transmutation in 1 + 1D quantum hydrodynamics

2020 ◽  
Vol 61 (8) ◽  
pp. 082302
Author(s):  
Alexander Gorsky ◽  
Peter Koroteev ◽  
Olesya Koroteeva ◽  
Arkady Vainshtein
Keyword(s):  
Quantum Hydrodynamics ◽  
Dimensional Transmutation

Evolution of nonlinear stationary formations in a quantum plasma at finite temperature

2021 ◽  
Vol 76 (4) ◽  
pp. 329-347
Author(s):  
Swarniv Chandra ◽  
Chinmay Das ◽  
Jit Sarkar
Keyword(s):  
Finite Temperature ◽  
Acoustic Waves ◽  
Quantum Plasma ◽  
Quantum Hydrodynamics ◽  
Stationary Structure ◽  
Gradual Evolution ◽  
Layer Structures ◽  
Model Equations ◽  
Electron Acoustic ◽  
Shock Fronts

Abstract In this paper we have studied the gradual evolution of stationary formations in electron acoustic waves at a finite temperature quantum plasma. We have made use of Quantum hydrodynamics model equations and obtained the KdV-Burgers equation. From here we showed how the amplitude modulated solitons evolve from double layer structures through shock fronts and ultimately converging into solitary structures. We have studied the various parametric influences on such stationary structure and also showed how the gradual variations of these parameter affect the transition from one form to another. The results thus obtained will help in the generation and structure of the structures in their respective domain. Much of the experiments on dense plasma will benefit from the parametric study. Further we have studied amplitude modulation followed by a detailed study on chaos.

scholarly journals Topological BF theory of the quantum hydrodynamics of incompressible polar fluids

2014 ◽  
Vol 90 (23) ◽  
Author(s):  
Apoorv Tiwari ◽  
Xiao Chen ◽  
Titus Neupert ◽  
Luiz H. Santos ◽  
Shinsei Ryu ◽  
...  
Keyword(s):  
Quantum Hydrodynamics ◽  
Polar Fluids ◽  
Bf Theory

scholarly journals Three-wave interaction and Manley–Rowe relations in quantum hydrodynamics

2014 ◽  
Vol 80 (4) ◽  
pp. 643-652 ◽  
Author(s):  
Erik Wallin ◽  
Jens Zamanian ◽  
Gert Brodin
Keyword(s):  
Wave Interaction ◽  
Magnetized Plasmas ◽  
Coupling Coefficients ◽  
Quantum Hydrodynamics ◽  
Dispersive Term

The theory for nonlinear three-wave interaction in magnetized plasmas is reconsidered using quantum hydrodynamics. The general coupling coefficients are calculated for the generalized Bohm de Broglie term. It is found that the Manley–Rowe relations are fulfilled only if the form of the particle dispersive term coincides with the standard expression. The implications of our results are discussed.

scholarly journals Electron Trajectories in Molecular Orbitals

2020 ◽  
Author(s):  
Isaiah Sumner ◽  
Hannah Anthony
Keyword(s):  
Lagrange Multiplier ◽  
Equations Of Motion ◽  
Bohmian Mechanics ◽  
Molecular Orbitals ◽  
Quantum Hydrodynamics ◽  
Relativistic Limit ◽  
Quantum Particles ◽  
Quantum Force ◽  
Trajectory Methods ◽  
Structure Calculations

The time-dependent Schrödinger equation can be rewritten so that its interpretation is no longer probabilistic. Two well-known and related reformulations are Bohmian mechanics and quantum hydrodynamics. In these formulations, quantum particles follow real, deterministic trajectories influenced by a quantum force. Generally, trajectory methods are not applied to electronic structure calculations, since they predict that the electrons in a ground state, real, molecular wavefunction are motionless. However, a spin-dependent momentum can be recovered from the non-relativistic limit of the Dirac equation. Therefore, we developed new, spin-dependent equations of motion for the quantum hydrodynamics of electrons in molecular orbitals. The equations are based on a Lagrange multiplier, which constrains each electron to an isosurface of its molecular orbital, as required by the spin-dependent momentum. Both the momentum and the Lagrange multiplier provide a unique perspective on the properties of electrons in molecules.

Quantum particle constrained to a surface in quantum hydrodynamics

2014 ◽  
Vol 89 (10) ◽  
pp. 105202
Author(s):  
Bjørn Jensen ◽  
Rossen Dandoloff ◽  
Avadh Saxena
Keyword(s):  
Quantum Particle ◽  
Quantum Hydrodynamics

Commutators in Quantum Hydrodynamics for Interacting Bose Systems

1969 ◽  
Vol 182 (1) ◽  
pp. 363-364 ◽  
Author(s):  
Robert Fanelli ◽  
R. E. Struzynski
Keyword(s):  
Quantum Hydrodynamics

scholarly journals Isothermal Quantum Hydrodynamics: Derivation, Asymptotic Analysis, and Simulation

2007 ◽  
Vol 6 (1) ◽  
pp. 246-272 ◽  
Author(s):  
P. Degond ◽  
S. Gallego ◽  
F. Méhats
Keyword(s):  
Asymptotic Analysis ◽  
Quantum Hydrodynamics
Sign in / Sign up

Export Citation Format

Share Document