Analysis of the plasmon structure in XPS experiments of simple metals

The plasmon structure of core lines in Be, Na, Mg, and Al metal has been analysed. It is shown that in each case extrinsic and intrinsic plasmons are present and that the probability of intrinsic plasmon creation is proportional to bⁿ, where b is the creation rate for a single plasmon.     

A New Unified Dark Fluid Model and Its Cosmic Constraint

In this paper, we propose a new unified dark fluid (UDF) model with equation of state (EoS) w(a)=?α/(β a ^?n +1), which includes the generalized Chaplygin gas model (gGg) as its special case, where α, β and n are three positive numbers. It is clear that this model reduces to the gCg model with EoS w(a)=?B _s /(B _s +(1?B _s )a ^?3(1+α)), when α=1, β=(1?B _s )/B _s and n=3(1+α). By combination the cold dark matter and the cosmological constant, one can coin a EoS of unified dark fluid in the form of w(a)=?1/(1+(1?Ω_Λ)a ^?3/Ω_Λ). With this observations, our proposed EoS provides a possible deviation from ΛCDM model when the model parameters α and n deviate from 1 and 3 respectively. By using the currently available cosmic observations from type Ia supernovae (SN Ia) Union2.1, baryon acoustic oscillation (BAO) and cosmic microwave background radiation (CMB), we test the viability of this model and detect the possible devotion from the ΛCDM model. The results show that the new UDF model fits the cosmic observation as well as that of the ΛCDM model and no deviation is found from the ΛCDM model in 3σ confidence level. However, our new UDF model can give a non-zero sound speed, as a contrast, which is zero for the ΛCDM model. We expect the large structure formation information can distinct the new UDF model from the ΛCDM model.     

Anisotropic Plane Symmetric Magnetized Model with Cosmological Constant

In this paper, we have obtained the solutions of perfect fluid cosmological model in Cylindrically-symmetric space time (Marder in Proc. R. Soc. A 246:133, 1958) with varying cosmological constant in the presence of electromagnetic field. To get determinate model of the universe we assumed that the scalar of expansion in the model is proportional to the eigen-value of the shear tensor which lead to the condition A=(BC) ⁿ . The magnetic field is due to an electric current produced along x-axis. Thus the magnetic field is in yz-plane and F ₂₃ is the only non-vanishing component of electromagnetic field tensor F _ij . Various physical and geometrical features of the model have been discussed.     

Photoelectron spectra of pyromellitic dianhydride,dithioanhydride and diimide and of trimellitic anhydride

The photoelectron (He(I)) spectra of the tricyclic tetracarbonyl compounds pyromellitic dianhydride, dithioanhydride and diimide and of the tetracyclic hexacarbonyl compound trimellitic anhydride have been investigated. To aid the interpretation of the main features of the spectra, i.e. the ordering and splitting of the ⁿCO ionisations and the behaviour of the ‘benzenic’ and heteroatom π ionisations, MO calculations based on a ZDO pragmatic model and semiempirical SCF-PP calculations have been carried out. The evolution of the ⁿCO and π_X ionisations upon progressive fusion of anhydride moieties with a benzene nucleus is analysed in detail. The proposed orbital sequences for the n orbitals are: a_g(S⁺) $\text{\$}\text{?}$b_1u(AS⁺) $\text{\$}\text{?}$b_2u(S^?) $\text{\$}\text{?}$b_3g(AS^?) for the tetracarbonyls and a′₁(S⁺) $\text{\$}\text{?}$e′(AS⁺) $\text{\$}\text{?}$a′₂ (AS^?) ≈ e′(S^?) for the hexacarbonyl.     

Dimensionality and the cosmological constant

In the Kaluza-Klein model with a cosmological constant Λ and a flux, the external spacetime of the created universe from aS ^s × S ^n−s seed instanton can be identified in quantum cosmology. One can also show that in the internal space theeffective cosmological constant is most probably zero.     

Quaternionic multi-S4 instantons in general covariant SU(2) Yang-Mills and HP(n) σ-models

It is shown that the quaternionic maps xⁿ = S⁴ → S⁴ are realized by the n-instanton solutions of two related types of general covariant field theories in four dimensions. They are, respectively, the Einstein-SU(2) Yang-Mills theory with a cosmological term and the new HP(m) σ-models     

Dark Energy from Entanglement Entropy

We show that quantum decoherence, in the context of observational cosmology, can be connected to the cosmic dark energy. The decoherence signature could be characterized by the existence of quantum entanglement between cosmological eras. As a consequence, the Von Neumann entropy related to the entanglement process, can be compared to the thermodynamical entropy in a homogeneous and isotropic universe. The corresponding cosmological models are compatible with the current observational bounds being able to reproduce viable equations of state without introducing a priori any cosmological constant. In doing so, we investigate two cases, corresponding to two suitable cosmic volumes, V∝a ³ and V∝H ^?3, and find two models which fairly well approximate the current cosmic speed up. The existence of dark energy can be therefore reinterpreted as a quantum signature of entanglement, showing that the cosmological constant represents a limiting case of a more complicated model derived from the quantum decoherence.     

Anomaly cancelling terms from the elliptic genus

We calculate the heterotic string one-loop diagram in 2n + 2 dimensions with one external B_μν and n external gravitons and/or gauge bosons. The result is a modular integral over the weight zero terms of the character valued partition function (or elliptic genus) of the theory, and can be directly expressed in terms of the factor which multiplies TrF² − TrR² in the field theory anomaly. The integrands have a non-trivial dependence on the modular parameter τ, reflecting contributions not only from the physical massless states but also from an infinity of “unphysical” modes. Some of them are identical to integrands which have been discussed recently in relation with Atkin-Lehner symmetry and the cosmological constant. As a corollary we find a method to compute these integrals without using Atkin-Lehner transformations.     

A study of built-in potential ina-Si solar cells by means of back-surface reflected electroabsorption

The electroreflectance (ER) signal has been studied for the purpose of identifying the built-in field in practical amorphous silicon (a-Si∶H) solar cells. Through both theoretical and experimental considerations, it has been confirmed that the ER signal essentially comes from the light which is reflected at the back surface and hence experiences the internal electric field within thea-Si∶H layer. By analyzing the ER signal, which is really the back-surface reflected electroabsorption signal, the built-in potentialV _bcan be evaluated. This method has been applied to various types ofp-i-n junctiona-Si solar cells.V _bof a usual homojunction solar cell was about 0.85 V. Increases ofV _bby 50≈130mV have been found in heterojunction solar cells constructed withp-type amorphous silicon carbide (a-SiC∶H) and/orn-type microcrystalline silicon (μc-Si) as compared with homojunctionp-i-n solar cells. Moreover, a clear dependence ofV _bon the substrate materials has been observed. These experimental results are described in connection with cell performances.     

Spin dynamics in general relativity

The energy-momentum tensor of a fluid composed of spinning particles is presented in a form that is structurally similar to that of a fluid with the energy flux q^a with respect to the fluid velocity u^a, isotropic pressure p and the trace-free anisotropic pressure π^ab. The effect of spin in the evolution of a shear free cosmological model with irrotational geodesic flow is considered.     

Bianchi Type-II Bulk Viscous String Cosmological Models in General Relativity

Some Bianchi type II bulk viscous string cosmological models with electromagnetic field are investigated. To get a determinate solution, we assume the shear (σ) is proportional to the expansion (θ), which leads to a supplementary condition B=lA ⁿ , between metric potentials, is used where A and B are function of time alone. A particular solution for n=0 is also discussed. The physical and geometrical implications of the models are discussed.     

Bulk Viscus Fluid Plane Symmetric String Dust Magnetised Cosmological Model in General Relativity

In this paper we have investigated bulk viscous fluid plane symmetric dust magnetized string cosmological model. To get a deterministic model, it is assumed that ε=λ, and a relation between metric potential B=RA ⁿ . The behaviour of the model in the presence and absence of magnetic field together with physical and geometrical aspects of the model are also discussed.     

Relativistic charged particles in the field of an electromagnetic plane wave in a medium

Solutions of the Klein-Gordon and Dirac equation for a charged particle in the field of an electromagnetic plane wave in a medium with a constant refractive index n are discussed. Generally, for n² < 1, spontaneous pair creation from the vacuum, and for n² > 1, energy bands are observed. The interplay of Compton and Cherenkov scattering is discussed. Some doubts are formulated as to the physical relevance of calculating pair creation in a homogeneous electric field as it is usually done.     

Operator formalism on general algebraic curves

The usual Laurent expansion of the analytic tensors on the complex plane is generalized to any closed and orientable Riemann surface represented as an affine algebraic curve. As an application, the operator formalism for the b − c systems is developed. The physical states are expressed by means of creation and annihilation operators as in the complex plane and the correlation functions are evaluated starting from simple normal ordering rules. The Hilbert space of the theory exhibits an interesting internal structure, being splitted into n (n is the number of branches of the curve) independent Hilbert spaces. In this way we are able to realize new kinds of conformal field theories at genus zero with symmetry group Virⁿ ⊗ G, Vir being the Virasoro group and G denoting a discrete and nonabelian crystallographic group. Exploiting the operator formalism a large collection of explicit formulas of string theory is derived. Finally, we develop as an important byproduct new methods in order to handle differential equations related to monodromy, like the Riemann monodromy problem.     

Static Extra Dimension and Acceleration of the Universe

We study a five dimensional FLRW type Kaluza-Klein cosmological model with static extra dimension. Accelerated expansion is found by assuming a linear relationship p _b =mp _a between pressures ‘p _a ’ corresponding to the usual four dimension, and ‘p _b ’ corresponding to the extra dimension. The field equations are obtained and solved, for different values of m, to analyse the cosmological consequences of the present model. It is found that m has the value between 2 and 3 to match with the present observational findings for the accelerated expansion of the universe.     

Modified gravity in contemporary universe

Astronomical data in favor of cosmological acceleration and possible explanations of accelerated expansion of the universe are discussed. Main attention is paid to gravity modifications at small curvature which could induce accelerated cosmological expansion. It is shown that gravitating systems with mass density rising with time evolve to a singular state with infinite curvature scalar. The universe evolution during the radiation-dominated epoch is studied in the R ²-extended gravity theory. Particle production rate by the oscillating curvature and the back reaction of particle production on the evolution of R are calculated in one-loop approximation. Possible implications of the model for cosmological creation of non-thermal dark matter are discussed.     

Cosmological quark-hadron phase transition and formation of isothermal density fluctuations

The dynamical process of the cosmological quark-hadron phase transition is investigated under the assumption of a weakly first-order phase transition. In particular the characteristic mass of these nuggets is determined to be smaller than 10¹⁹ g, using a spatial correlation function of the trapped quark phase. Furthermore, the possibility of these nuggets being left as isothermal baryonic clouds with very high density (δϱ_b/ϱ_b ∼ 5.0×10¹²) after evaporation is pointed out, and its cosmological implications are discussed.     

Primordial inflation and present-day cosmological constant from extra dimensions

A semiclassical gravitation model is outlined which makes use of the Casimir energy density of vacuum fluctuations in extra compactified dimensions to produce the present-day cosmological constant as ρ _Λ ∼M ⁸/M _P ⁴, where M _P is the Planck scale and M is the weak interaction scale. The model is based on (4+D)-dimensional gravity, with D=2 extra dimensions with radius b(t) curled up at the ADD length scale b ₀=M _P /M ²∼0.1 mm. Vacuum fluctuations in the compactified space perturb b ₀ very slightly, generating a small present-day cosmological constant.The radius of the compactified dimensions is predicted to be b ₀≈k ^1/40.09 mm (or equivalently M≈2.4 TeV/k ^1/8), where the Casimir energy density is k/b ⁴.Primordial inflation of our three-dimensional space occurs as in the cosmology of the ADD model as the inflaton b(t), which initially is on the order of 1/M∼10⁻¹⁷ cm, rolls down its potential to b ₀.     

Bianchi type-I massive string magnetized barotropic perfect fluid cosmological model in bimetric theory

Bianchi type-I massive string cosmological model for perfect fluid distribution in the presence of magnetic field is investigated in Rosen’s [Gen. Relativ. Gravit. 4, 435 (1973)] bimetric theory of gravitation. To obtain the deterministic model in terms of cosmic time, we have used the condition A = (BC) ⁿ , where n is a constant, between the metric potentials. The magnetic field is due to the electric current produced along the x-axis with infinite electrical conductivity. Some physical and geometrical properties of the exhibited model are discussed and studied.     

<Emphasis Type="Italic">C</Emphasis>-field Cosmological Models with Variable <Emphasis Type="Italic">G</Emphasis> in FRW Space–Time

C-field cosmological models based on Hoyle-Narlikar theory with variable gravitational constant G in the frame work of FRW (Friedmann-Robertson-Walker) space–time for positive and negative curvatures are investigated. To get the deterministic solutions in terms of cosmic time t, we have assumed G=R ⁿ and discussed for n=−1, −2, R being scalar factor. In both the cases, creation field C increases with time, the gravitational constant G and matter density (ρ) decrease with time in the model (21). In the model (41) G decreases with time and matter density (ρ) is constant. The other physical aspects of the models are also discussed.