Splitting of cones of optical axes in gyrotropic crystals in the presence of dichroism

Features of the appearance of conical singularities in the presence of linear dichroism and natural optical activity at the point of intersection of dispersion curves of the principal refractive indices of a crystal have been considered. It has been shown that even insignificant dichroism results in the splitting of cones of optical axes into cones of singular optical axes (in a partial case, cones are degenerate into planes) between which a “gap” with identical velocities of proper waves appears. The splitting angle for the AgGaS₂ crystal is estimated at about 5°.     

A model of baryons based on duality and unitarity

A model of “planar” baryons with (10 + 8) ? (1 + 8) exchange degeneracy is proposed, based on duality and unitarity. Dynamical mechanisms for deviation from the “planar” baryons are considered and the consequent pattern of broken exchange degenerate trajectories is compared with observed baryon spectra. Our model suggests a string picture of linear molecule type for baryons.     

Predicted new electromagnetic precursors and altered signal velocity in dispersive media

New optical precursors are predicted in media exhibiting “non-conventional” dispersion characteristics such as spatial dispersion, surface polaritons and surface plasmons. Numerical estimates are given for the exciton and surface polariton precursors in CdS, and surface plasmon in Al. The signal velocity increases in spatially dispersive media and is essentially constant throughout the “stop” gap. Measurement of these effects may provide new spectroscopic information regarding “non-conventional” dispersion.     

Nonlinear canonical transformations in the coupling between degenerate high and low energy excitations

In microscopic many-body physics the coupling between the motion of fast particles (electrons) and slow particles (nuclei) is universal. The standard Born-Oppenheimer decoupling procedure breaks down, if the energy separation in the “fast” system is of the same order as the elementary excitation in the “slow” system. In this case “dynamical resonance” effects are to be expected. In the present investigation a model system of a coupling between a doubly degenerate high energy excitation and doubly degenerate low energy oscillator is handled by a non-linear canonical transformation which is shown to be quasi-exact in the sense that it diagonalizes the Hamiltonian in both extremal coupling cases. The transformation has some flexibility, so that the diagonalization regions can be enlarged. It is employed to calculate the “zero-phonon” optical response, which indeed displays aresonance effect. Likewise, another nonlinear transformation is devised, which only in the strong coupling limit yields diagonalization. This latter transformation in a natural way leads to the conventional semi-classical approaches to the dynamical Jahn-Teller problem. The results gotten with it are identical with those from our transformation in the strong coupling limit. On the basis of our results some remarks are made concerning the possible impact of the breakdown of the adiabatic approximation in other regions.     

“Right-handed” and “left-handed” polaritons in material media

The dispersion law for polariton waves is deduced from analysis of Maxwell equations in a dielectric medium characterized by the presence of resonance in the frequency range of lattice vibrations or exciton transitions. The theory considers polariton waves with right- and left-oriented vectors $\vec E,\vec H,\vec k$ , corresponding to “right-handed” and “left-handed” polaritons. Dispersion dependences of group velocity of polariton waves and effective mass are established for “right-handed” and “left-handed” polaritons. Expressions are obtained for the effective refractive index and reflection coefficient in a wide spectral range including the resonance region. The specific features of lattice reflection spectra in alkali halide crystals are explained using the proposed theory.     

Self-interacting scalar fields with geometrical interpretations

The idea is advanced that particles arise as distortions of a reimannian background and that such distortions represent particular conformally flat solutions of the “cosmological” Einstein equations with extremely large “cosmological” constants. Particle interactions then appear as gravitational in origin. The idea is illustrated with the help of two scalar models. In the first one the “De Sitter” space can be interpreted as a relativistic field whose ground state undergoes a transition from degenerate to nondegenerate for the critical value of some parameter. In the second one a deeper understanding is reached of the role of the “De Sitter” space in confinement problems and of the nature of the ensemble of vacuum states recently introduced in conformally invariant field theories by Fubini.     

Cluster Expansion for Ideal Fermi Systems in the “Fixed Node Approximation”

Results of the direct path integral Monte Carlo simulation (DPIMCS) have shown that the “fixed node approximation” (FNA) rather well describes thermodynamic properties of the strongly coupled fermions at “weak and moderate” degeneracy. To explain the increasing difference for highly degenerate fermions it is rigorously proved that the exact Fermi function with index 5/2 in grand ensemble can not be reproduced in FNA, so FNA has not the correct limit to ideal fermions.     

Calculation of the structural energy of the unreconstructed and (1 × 2) reconstructed Pt(110) surface

Describing the binding energy of both d and s valence electrons within the LCAO formalism, and by including repulsive Born-Mayer type interactions, we study the structural stability of the reconstructed and unreconstructed Pt(110) surfaces. Our main result is that amongst the various models for the (1 × 2) reconstruction the “Bonzel-Ferrer” model is unfavoured, while the “missing-row” model seems to be energetically degenerate with the unreconstructed surface. Our calculation predicts also a small surface concentration, which, however, has only a minor effect on the total energy of the system.     

The P-f: Resolution of the “Identity crisis”

Pennington, Schrempp, and Schrempp have argued that there is a “crisis” for theP-f identity hypothesis because the difference Δα(t) between theP-f trajectory and the leading planar trajectory violates a simple dispersion relation. We show why one should not expect such a dispersion relation to hold within and even independent of theP-f identity hypothesis. We conclude that there is no “identity crisis”.     

Coupled-mode analysis of periodic dielectric waveguides

The coupled-mode formalism is used to describe the behavior of a corrugated dielectric waveguide. Explicit expressions for the dispersion near the Bragg regime are given. These are compared with the results of an “exact” analysis.     

On the theory of Langmuir waves in a quantum plasma

Nonlinear quantum-mechanical equations are derived for Langmuir waves in an isotropic electron collisionless plasma. A general analysis of dispersion relations is carried out for complex spectra of Langmuir waves and van Kampen waves in a quantum plasma with an arbitrary electron momentum distribution. Quantum nonlinear collisionless Landau damping in Maxwellian and degenerate plasmas is studied. It is shown that collisionless damping of Langmuir waves (including zero sound) occurs in collisionless plasmas due to quantum correction in the Cherenkov absorption condition, which is a purely quantum effect. Solutions to the quantum dispersion equation are obtained for a degenerate plasma.     

A Self-Bracketing Search Technique for the Classical Dispersion Analysis of Infrared Reflectance Data

If an observed infrared reflectance band corresponds to a harmonic vibrational mode, then it is feasible by means of well known dispersion relationships to calculate reflectance values R_c for an ideal reflectance curve that agrees with the curve obtained from experimentally observed R_x values. The technique of comparing R_c with R_x has been denoted as “classical dispersion,” or CD analysis. In the obtaining of dispersion parameters, such as oscillator strength (S_j), damping constant (Y_j), and resonant frequency (v_j) through CD analysis of infrared reflectance data, a number of methods have been used.     

Finite-temperature HFB theory

The finite-temperature Hartree-Fock-Bogoliubov (FTHFB) equations are derived. For the pairing hamiltonian FTHFB simplifies to finite-temperature BCS (FTBCS). The solution of the FTBCS equations for the degenerate model displays a temperature-dependent pairing “phase transition”.     

利用运动光束抑制高功率激光小尺度自聚焦

提出了近场“运动光束”的概念.指出光谱色散匀滑装置可以在近场产生运动光束,理论分析了运动光束的产生机理、条件、运动特性以及对小尺度自聚焦的抑制作用.通过数值模拟,得到计算结果与理论分析一致. 关键词： 运动光束 光谱色散匀滑 小尺度自聚焦 惯性约束聚变     

The relativistic Burnett equations and sound propagation

A relaxation-time model for the relativistic Boltzmann equation of a single-component gas is solved to second, or “Burnett”, order using the relativistic version of the Chapman-Enskog method developed by Marle. Expressions are obtained from this second order solution for the “Burnett” contributions to the heat flux and pressure tensor of the gas. Using the “Burnett” equations, which incorporate these contributions, expressions are then derived for the dispersion and absorption of sound in the gas which agree, in the classical limit, with the results of Wang Chang and Uhlenbeck.     

Quantum statistical physics: A new approach

The new scheme employed (throughout the “thermodynamic phase space”), in the statistical thermodynamic investigation of classical systems, is extended to quantum systems. Quantum Nearest Neighbor Probability Density Functions (QNNPDF's) are formulated (in a manner analogous to the classical case) to provide a new quantum approach for describing structure at the microscopic level, as well as characterize the thermodynamic properties of material systems. Since QNNPDF's describe microstructure in “random neighborhoods”, the new scheme may be viewed as an “elastic cavity” approach (with “elastic” walls). A major point of this paper is that it relates the free energy of an assembly of interacting particles to QNNPDF's. Application to the simple case of dilute, weakly degenerate gases has been outlined.     

Linear theory of beam–wave interaction in double-slot coupled cavity travelling wave tube

A three-dimensional model of the double-slot coupled cavity slow-wave structure(CCSWS) with a solid round electron beam for the beam–wave interaction is presented. Based on the "cold" dispersion, the "hot" dispersion equation is derived with the Maxwell equations by using the variable separation method and the field-matching method. Through numerical calculations, the effects of the electron beam parameters and the staggered angle between adjacent walls on the linear gain are analyzed.     

确定性量子分束器的实验研究

基于"时间反演"的HOM干涉原理,利用一个普通的分束器将Ⅰ类自发参量下转换过程产生的一对飞秒脉冲量级、简并单光子对完全分离,分束效率最高可以达到92%。     

Electron gas compression and Coulomb explosion in the surface layer of a conductor heated by femtosecond laser pulse

The hypothesis is put forward on the basis of experimental data that strong inhomogeneous heating of the skin layer of conducting materials by a femtosecond pulse gives rise to a double electrical layer that is formed of a “surface” layer of positive ions and a thin (about 1 nm) “subsurface” layer of a superdense (10²³–10²⁵ cm^?3) degenerate electron gas. The double layer breaks within one picosecond through the Coulomb explosion.