Simplified Models of Quantum Fluids in Nuclear Physics
نویسنده
چکیده
We revisit a hydrodynamical model, derived by Wong from Time-DependentHartree-Fock approximation, to obtain a simplified version of nuclear matter. We obtain well-posed problems of Navier-Stokes-Poisson-Yukawa type, with some unusual features due to quantum aspects, for which one can prove local existence. In the case of a one-dimensional nuclear slab, we can prove a result of global existence, by using a formal analogy with some model of nonlinear “viscoelastic” rods.
منابع مشابه
Investigation of strong force influence on behavior of nuclear energy levels in Calcium and Titanium isotopes: Based on quantum chaos theory
The atomic nucleus is a complex many-body system that consists of two types of fermion (neutron and proton). They are in the strong interaction. The statistical properties of energy levels and influence of strong force between these fermions are well described by random matrix theory. Resonance of energy levels depends on the Hamiltonian symmetry placed in one of the GOE, GUE and GSE ensembles ...
متن کاملAn Analysis of Circulation of Decentralized Digital Money in Quantum Electrodynamics Space: the Econphysics Approach
The study aimed at showing how to create and release cryptocurrency, based on which one can introduce a new generation of this money that can continue its life in the quantum computers space and study whether cryptocurrency could be controlled or the rules should be rewritten in line with new technology. Regarding this, we showed the evolution of money and its uses in economic relations. Accord...
متن کاملNanotechnology; its significance in cancer and photodynamic therapy
In the last decade, developments in nanotechnology have provided a new field in medicine called “Nanomedicine”. Nanomedicine has provided new tools for photodynamic therapy. Quantum dots (QDs) are approximately spherical nanoparticles that have attracted broad attention and have been used in nanomedicine applications. QDs have high molar extinction coefficients and photoluminescence quantum yie...
متن کاملNuclear-Charge Screening in Positronium Formation from Helium Atoms
An analytical treatment of the electron screening effect within an active-electron model is given for positronium formation from helium atoms. A first-order distorted wave approximation with correct boundary conditions is applied to evaluate the transition amplitude. In the range of impact energy for which the introduced perturbative approach is valid, both the total and differential cross sect...
متن کاملEffect of Temperature and Pressure on Correlation Energy in a Triplet State of a Two Electron Spherical Quantum Dot
The combined effect of hydrostatic pressure and temperature on correlation energy in a triplet state of two electron spherical quantum dot with square well potential is computed. The result is presented taking GaAs dot as an example. Our result shows the correlation energies are i)negative in the triplet state contrast to the singlet state ii) it increases with increase in pressure iii)further...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2002