Structure scalars for charged cylindrically symmetric relativistic fluids

We investigate some structure scalars developed through Riemann tensor for self-gravitating cylindrically symmetric charged dissipative anisotropic fluid. We show that these scalars are directly related to the fundamental properties of the fluid. We formulate dynamical-transport equation as well as the mass function by including charge which are then expressed in terms of structure scalars. The effects of electric charge are investigated in the structure and evolution of compact objects. Finally, we show that all possible solutions of the field equations can be written in terms of these scalars.     

The Hamiltonian structure of general relativistic perfect fluids

We show that the evolution equations for a perfect fluid coupled to general relativity in a general lapse and shift, are Hamiltonian relative to a certain Poisson structure. For the fluid variables, a Lie-Poisson structure associated to the dual of a semi-direct product Lie algebra is used, while the bracket for the gravitational variables has the usual canonical symplectic structure. The evolution is governed by a Hamiltonian which is equivalent to that obtained from a canonical analysis. The relationship of our Hamiltonian structure with other approaches in the literature, such as Clebsch potentials, Lagrangian to Eulerian transformations, and its use in clarifying linearization stability, are discussed.Research supported in part by NSF grant MCS 81-08814(A02)Research supported in part by NSF grant MCS 81-07086     

Cylindrically symmetric matter distribution with a magnetic field in Einstein-Cartan theory

In this paper we have extended our earlier studies of solutions of Einstein-Cartan equations to the case where a magnetic field co-exists with the matter distribution. We have obtained an exact solution of Einstein-Cartan-Maxwell equations representing a static cylinder of perfect fluid with an axial magnetic fieldH and a non-zero spin densityK, satisfying the equation of stateρ=γ(p _r +p _s −H ²/4π),γ being a constant. We notice that as a consequence of field equations there exists a direct relation between the pressurep, and the spin densityK, indicating that an increase in pressure would enormously increase the spin density. Alexander von Humboldt Research Fellow.     

General relativistic spinning fluids with a modified projection tensor

An energy-momentum tensor for general relativistic spinning fluids compatible with Tulczyjew-type supplementary condition is derived from the variation of a general Lagrangian with unspecified explicit form. This tensor is the sum of a term containing the Belinfante–Rosenfeld tensor and a modified perfect-fluid energy-momentum tensor in which the four-velocity is replaced by a unit four-vector in the direction of fluid momentum. The equations of motion are obtained and it is shown that they admit a Friedmann–Robertson–Walker space–time as a solution.     

On a relativistic theory of acceleration waves in thermoconducting fluids

Summary The propagation of acceleration waves in thermoconducting fluids is studied in the framework of relativistic thermodynamics. The main result is the existence of two waves which propagate with different, finite speeds.

---

Riassunto La propagazione di onde di accelerazione nei fluidi termoconduttori è studiata nell'àmbito della termodinamica relativistica. Il risultato principale è l'esistenza di due tipi di onde, che si propagano con differenti velocità, entrambe finite.

---

Рееюме В рамках релятивистской термодинамики исследуется распространение волн ускорения в термопроводяших жидкостях. Основной ревультат заключается в том, что сушествуют две волны, которые распространяютая с различными, конечными скоростями.

---

---

In partial fulfillment of Physics Degree requirements.

---

Research carried out under the auspices of the Group for Mathematical Physics (G.N.F.M.) of the Italian Research Council (C.N.R.).     

Magnetometer based on a pair of symmetric transitions in the 87Rb hyperfine structure

A new version of the fast optically pumped magnetometer, an optically pumped balanced quantum magnetometer, built around a pair of symmetric transitions in the hyperfine structure of the ⁸⁷Rb ground state is implemented for the first time. The noise-limited sensitivity of the prototype in terms of the variance is 6 pT for a measurement time of 0.1 s. The basic advantages of the new magnetometer are the absence of dead zones when it changes orientation relative to the magnetic field and an extremely low sensitivity to the drift of pumping parameters.     

Meson structure in a relativistic many-body approach

Results from an extensive relativistic many-body analysis utilizing a realistic effective QCD Hamiltonian are presented for the meson spectrum. A comparative numerical study of the BCS, Tamm-Dancoff (TDA), and RPA treatments provides new, significant insight into the condensate structure of the vacuum, the chiral symmetry governance of the pion, and the meson spin, orbital, and flavor mass splitting contributions. In contrast to a previous glueball application, substantial quantitative differences are computed between TDA and RPA for the light quark sector with the pion emerging as a Goldstone boson only in the RPA.     

Sterically stabilized water based magnetic fluids: Synthesis,structure and properties

Magnetic fluids (MFs), prepared by chemical co-precipitation followed by double layer steric and electrostatic (combined) stabilization of magnetite nanoparticles dispersed in water, are presented. Several combinations of surfactants with different chain lengths (lauric acid (LA), myristic acid (MA), oleic acid (OA) and dodecyl-benzene-sulphonic acid (DBS)) were used, such as LA+LA, MA+MA, LA+DBS, MA+DBS, OA+DBS, OA+OA and DBS+DBS. Static light scattering, transmission electron microscopy, small angle neutron scattering, magnetic and magneto-rheological measurements revealed that MFs with MA+MA or LA+LA biocompatible double layer covered magnetite nanoparticles are the most stable colloidal systems among the investigated samples, and thus suitable for biomedical applications.     

Polarization of vacuum in a hydrogen-like relativistic atom: Hyperfine structure

An analysis is made of the contribution of the polarization of vacuum to the hyperfine splitting of the ground state of a hydrogen-like atom. An expression for the correction to the energy is obtained as an explicit function of the parameter Zα. The final expression derived in terms of generalized hypergeometric functions and their derivatives is a function of the particle mass ratio in orbit and in a vacuum loop, and is therefore valid for both ordinary and muonic atoms. Various asymptotic forms are also given.     

Spectral fine structure of the atomic ground states based on full relativistic theory

We focus on the full relativistic quantum mechanical calculations from boron to fluorine atoms with electronic configuration of 1s2 2s2 2p n(n =1,2,3,4,and 5),where 1s2 2s2 is the closed shell and 2p n is the open shell.Their active electrons in the open shell occupy all the six spinors as far as possible.Therefore,we suggest a new rule called "maximum probability" for the full symmetry group relativistic theory.Furthermore,the spectral fine structure of the atomic ground states based on the full relativistic theory and their intervals of L-S splitting are all reasonable.It is impossible to calculate the L-S splitting through non-relativistic quantum mechanics.The relativistic effect of atomic mass is increased significantly by about 12 folds from boron atom to fluorine atom.     

Separability criteria based on a class of symmetric measurements

Highly symmetric quantum measurements, such as mutually unbiased measurements(MUMs)and general symmetric informationally complete positive-operator-valued measures(GSICPOVMs), play an important role in both foundational and practical aspects of quantum information theory. Recently, a broad class of symmetric measurements were introduced [K Siudzińska,(2022) Phys. Rev. A 105, 042209], which can be viewed as a common generalization of MUMs and GSIC-POVMs. In this work, the role of these symmetric ...     

Gravitational theory based on relativistic mechanics

Introducing a metric space, we propose a gravitational theory in which the form of the basic equations of mechanics, the field equations, and the equations of motion are the same as that of the corresponding equations in electrodynamics. The theory reveals a very close relation between the gravitational and electromagnetic fields. Finally, we consider the field due to an arbitrarily moving mass point.     

Nucleon spin structure in a relativistic constituent quark model

The spin structure of the nucleon is analyzed using a relativistic constituent quark model in light-front formulation. We investigate, in particular, relativistic effects on the axial vector coupling constants. Electromagnetic and axial form factors are constructed in terms of quark form factors that reflect the possible non-trivial structure of the constituent quarks. We study the influence of flavour mixing effects on axial constants and discuss the extent to which such effects can renormalize the singlet axial constant g _A ⁰ from its SU(6) quark model value.     

On the relativistic invariance of a quantum theory based on beables

We discuss the question of the relativistic invariance of a quantum theory based on beables, and we suggest the general outlines of one possible form of such a theory.     

Self-consistent description of finite nuclei based on a relativistic quark model

Relativistic Hartree equations for spherical nuclei have been derived from a relativistic quark model of the structure of bound nucleons which interact through the (self-consistent) exchange of scalar (σ) and vector (ω and ϱ) mesons. The coupling constants and the mass of the σ-meson are determined from the properties of symmetric nuclear matter and the rms charge radius in ⁴⁰Ca. Calculated properties of static, closed-shell nuclei from ¹⁶O to ²⁰⁸Pb are compared with experimental data and with results of Quantum Hadrodynamics (QHD). The dependence of the results on the nucleon size and the quark mass is investigated. Several possible extensions of the model are also discussed.     

基于相对论电子束的太赫兹源

太赫兹辐射在基础科学和产业应用中具有重要的应用前景,但传统的电子学和光学方法难以在1～10 THz产生相干的高功率、窄带且连续可调的太赫兹辐射。基于相对论性超短电子束和预调制电子束序列的加速器太赫兹源将能在上述范围内产生可调的高能谱强度窄带太赫兹辐射。综述了清华大学加速器实验室近年来在基于相对论电子束的加速器太赫兹源方面的理论和实验进展,以及与加速器太赫兹源一起发展起来的太赫兹辐射测量、束流诊断和先进加速技术。