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1.
The relativistic three-particle systems are studied within the framework of Relativistic Schrödinger Theory (RST), with emphasis on the determination of the energy functional for the stationary bound states. The phenomenon of entanglement shows up here in form of the exchange energy which is a significant part of the relativistic field energy. The electromagnetic interactions become unified with the exchange interactions into a relativistic U(N) gauge theory, which has the Hartree–Fock equations as its non-relativistic limit. This yields a general framework for treating entangled states of relativistic many-particle systems, e.g., the N-electron atoms. 相似文献
2.
Vasily E. Tarasov 《International Journal of Theoretical Physics》2010,49(2):293-303
Fractional dynamics of relativistic particle is discussed. Derivatives of fractional orders with respect to proper time describe
long-term memory effects that correspond to intrinsic dissipative processes. Relativistic particle subjected to a non-potential
four-force is considered as a nonholonomic system. The nonholonomic constraint in four-dimensional space-time represents the
relativistic invariance by the equation for four-velocity u
μ
u
μ
+c
2=0, where c is a speed of light in vacuum. In the general case, the fractional dynamics of relativistic particle is described as non-Hamiltonian
and dissipative. Conditions for fractional relativistic particle to be a Hamiltonian system are considered. 相似文献
3.
Threshold resummation <Emphasis Type="Italic">S</Emphasis> factor in QCD: The case of unequal masses
A new relativistic Coulomb-like threshold resummation S factor in quantum chromodynamics is obtained. The analysis in question is performed within the quantum-field-theory quasipotential
approach formulated in the relativistic configuration representation for the case of interaction between two relativistic
particles that have unequal masses. 相似文献
4.
Andrea Raspini 《International Journal of Theoretical Physics》1989,28(11):1359-1369
Approximate relativistic center-of-mass variables are employed for the calculation of the relativistic corrections to the Zeeman structure of then=2 energy level of positronium. 相似文献
5.
B. D. Wissman 《Communications in Mathematical Physics》2011,306(3):831-851
We show that when entropy variations are included and special relativity is imposed, the thermodynamics of a perfect fluid
leads to two distinct families of equations of state whose relativistic compressible Euler equations are of Nishida type. (In the non-relativistic
case there is only one.) The first corresponds exactly to the Stefan-Boltzmann radiation law, and the other, emerges most naturally in the ultra-relativistic limit of a γ-law gas, the limit in which the temperature is very high or the rest mass very small. We clarify how these two relativistic
equations of state emerge physically, and provide a unified analysis of entropy variations to prove global existence in one
space dimension for the two distinct 3 × 3 relativistic Nishida-type systems. In particular, as far as we know, this provides
the first large data global existence result for a relativistic perfect fluid constrained by the Stefan-Boltzmann radiation
law. 相似文献
6.
P. Chessa M. Galimberti A. Giulietti D. Giulietti L. A. Gizzi P. Mora 《The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics》2000,8(2):153-156
It is well established that, at sub-relativistic intensities, the absorption of laser light by underdense plasmas decreases
with increasing pulse intensity as interaction enters a non-linear regime. On the other hand, as the relativistic interaction
regime is reached, further absorption mechanisms can be activated which can account for a substantial energy transfer. Using
the particle code WAKE, we performed numerical simulations of the relativistic interaction of intense laser pulses with underdense
plasmas in conditions that can be experimentally tested. Our simulations show that, while the relativistic laser intensity
generates a population of fast electrons, a considerable fraction of the pulse energy goes into a population of thermal electrons. These findings open new possibilities for a direct observation of relativistic interaction processes using high
resolution soft X-ray techniques. 相似文献
7.
The presence of relativistic electrons in the Earth's magnetosphere may excite EMEC waves via resonant interaction. The understanding of EMEC waves induced by such electrons requires relativistic treatment. Therefore, we present here the investigation of EMEC waves based on relativistic trapped electrons represented by kappa-Maxwellian distribution in auroral plasmas. The analytical expressions of real frequency and relativistic growth rate are derived. Our numerical outcomes report that relativistic approximation increases the wave growth and causes reduction in the threshold value of drift velocity of trapped electrons for instability. The wave frequency that corresponds to the maximum growth decreases as we go from nonrelativistic limit to relativistic. The maximum growth increases with the increment in plasma frequency, perpendicular thermal velocity, drift velocity of trapped electrons, and Lorentz factor γ. Moreover, the relativistic effects on maximum growth are more pronounced for smaller values of drift velocity and perpendicular thermal velocity. 相似文献
8.
On Classical and Quantum <Emphasis Type="Italic">q</Emphasis>-oscillators in the Relativistic Theory
R.M. Mir-Kasimov 《Czechoslovak Journal of Physics》2004,54(11):1365-1370
The factorization method, applied to the finite-difference Schrödinger equation in the relativistic configurational space, allows to consider the q-deformations as a relativistic effect. In particular, different factorizations allow to obtain all known q-oscillators in a unified way. The classical limit of deformed Hamiltonians is investigated. 相似文献
9.
The linearized relativistic Boltzmann equation inL
2(r,p) is investigated. The detailed analysis of the collision operatorL is carried out for a wide class of scattering cross sections.L is proved to have a form of the multiplication operatorv(p) plus the compact inL
2(p) perturbationK. The collisional frequencyv(p) is analysed to discriminate between relativistic soft and hard interactions. Finally, the existence and uniqueness of the solution to the linearized relativistic Boltzmann equation is proved. 相似文献
10.
Linear Thomson scattering by a relativistic electron of a short pulse laser has been investigated by computer simulation. Under a laser field with a pulse of 33.3-fs full-width at half-maximum, and the initial energy of an electron of γ0=10, the motion of the electron is relativistic and generates an ultrashort radiation of 76-as with a photon wave length of 2.5-nm in the backward scattering. The radiation under a high relativistic energy electron has better characteristic than under a low relativistic energy electron in terms of the pulse width and the angular distribution. 相似文献
11.
The strong influence of relativity on the hyperfine interaction is demonstrated by non-, scalar andfully relativistic calculations for solid transition metal systems. By calculations of hyperfine fields andof the nuclear spin lattice relaxation rate of Ag in Ag
x
Pt1–x
it is shown that scalar relativistic calculations, which neglect the influence of spin-orbit coupling, seem to be sufficient to account for relativistic effects in many cases. To account properly for the symmetry-breaking caused by spin-orbit coupling, which is reflected by many hyperfine interaction properties, a fully relativistic approach is demanded. The corresponding formalism in the framework of the KKR-GF (Korringa-Kohn-Rostoker-Green's function) method of band structure calculation for magnetic solids is outlined. As applications results for the hyperfine fields of pure transition metals andalloys are presented. 相似文献
12.
Summary This paper presents a rigorous theoretical investigation of the relativistic and nonrelativistic modulational instability
of a high-power laser radiation propagating in a collisionless and unmagnetized laser-produced plasma. The kinetic equationviz. the relativistic Vlasov equation has been employed to find the nonlinear response of electrons for this four-wave parametric
process in the plasma. The actual motivation behind this theoretical investigation is to find the relativistic effect on this
four-wave paremetric processviz. the modulational instability. Here, it can be noted that the modulational instability of the laser radiation under our situation
has not a large but considerable relativistic effect and for the same set of plasma parameters the growth rate of the instability
in ultrarelativistic consideration is approximately three times higher than that in the nonrelativistic consideration.
The authors of this paper have agreed to not rective the proofs for correction. 相似文献
13.
The EPR experiment is investigated within the abstract language of relativistic quantum physics (relativistic quantum logic). First we show that the principles of reality (R) and locality (L) contradict the validity principle (Q) of quantum physics. A reformulation of this argument is then given in terms of relativistic quantum logic which is based on the principlesR andQ. It is shown that the principleL must be replaced by a convenient relaxation ¯L, by which the contradiction can be eliminated. On the other hand this weak locality principle ¯L does not contradict Einstein causality and is thus in accordance with special relativity. 相似文献
14.
J. Ryckebusch W. Cosyn B. Van Overmeire C. Martınez 《The European Physical Journal A - Hadrons and Nuclei》2007,31(4):585-587
We present a selection of results obtained within the context of a relativistic eikonal model. First, results of relativistic
Glauber calculations for the nuclear transparency extracted from photon-induced pion production are presented. Second, computed
differential cross-sections for the 12
C(p, 2p) are compared to data. 相似文献
15.
R. O. Genga 《International Journal of Theoretical Physics》1993,32(7):1245-1256
A high-frequency sum rule for all elements of the relativistic spinless quasi-one-dimensional quantum plasma response tensor atT=0 K is derived. It is found that the frequency of oscillations is reduced by the relativistic effect. 相似文献
16.
Marek Dudyński 《Journal of statistical physics》1989,57(1-2):199-245
Solutions are analyzed of the linearized relativistic Boltzmann equation for initial data fromL
2(r, p) in long-time and/or small-mean-free-path limits. In both limits solutions of this equation converge to approximate ones constructed with solutions of the set of differential equations called the equations of relativistic hydrodynamics. 相似文献
17.
18.
《X射线光谱测定》2003,32(5):367-372
External bremsstrahlung spectra produced by hard beta particles of 89Sr (1.463 MeV) in thick targets of Al, Cu, Sn and Pb were studied. After making the necessary corrections, the experimental results were compared with the theoretical external bremsstrahlung distributions obtained from Elwert corrected (non‐relativistic) Bethe–Heitler theory, Tseng and Pratt theory and modified Elwert factor (relativistic) Bethe–Heitler theory. It was found that for low‐Z elements all theories are equally suitable throughout the energy region studied. For medium‐Z elements, the Tseng and Pratt and modified Elwert factor (relativistic) Bethe–Heitler theories are more accurate, particularly in medium and higher energy regions. However, for high‐Z elements, the modified Elwert factor (relativistic) Bethe–Heitler theory shows better agreement with the experiment, particularly at the higher energy end. Copyright © 2003 John Wiley & Sons, Ltd. 相似文献
19.
20.
ABSTRACTScalar relativistic corrections to atomisation energies of first- and second-row molecules can be rationalised in terms of a simple additive model, linear in changes in atomic s populations. In a sample of 200 first-and second-row molecules, such a model can account for over 98% of the variance (99% for the first-row subset). The remaining error can be halved again by adding a term involving the change in atomic p populations: those coefficients need not be fitted but can be fixed from atomic electron affinity calculations. This model allows a fairly accurate a priori estimate for the importance of scalar relativistic corrections on a reaction energy, at essentially zero computational cost. While this is not a substitute for explicit calculation of Douglas–Kroll–Hess (DKH) or exact two-component (X2C) relativistic corrections, the model offers an interpretative tool for the chemical analysis of scalar relativistic contributions to reaction energies. 相似文献