The scalar complex potential and the Aharonov-Bohm effect

The Aharonov-Bohm effect is traditionally attributed to the effect of the electromagnetic 4-potential $A$, even in regions where both the electric field $\mathbf{E}$ and the magnetic field $\mathbf{B}$ are zero. The AB effect reveals that multiple-valued functions play a crucial role in the description of an electromagnetic field. We argue that the quantity measured by AB experiments is a difference in values of a multiple-valued complex function, which we call a complex potential or {pre-potential. We show that any electromagnetic field can be described by this pre-potential, and give an explicit expression for the electromagnetic field tensor through this potential. The pre-potential is a modification of the two scalar potential functions.Comment: 10 pages 2 figure

Spectral statistics of random geometric graphs

We use random matrix theory to study the spectrum of random geometric graphs, a fundamental model of spatial networks. Considering ensembles of random geometric graphs we look at short range correlations in the level spacings of the spectrum via the nearest neighbour and next nearest neighbour spacing distribution and long range correlations via the spectral rigidity Delta_3 statistic. These correlations in the level spacings give information about localisation of eigenvectors, level of community structure and the level of randomness within the networks. We find a parameter dependent transition between Poisson and Gaussian orthogonal ensemble statistics. That is the spectral statistics of spatial random geometric graphs fits the universality of random matrix theory found in other models such as Erdos-Renyi, Barabasi-Albert and Watts-Strogatz random graph.Comment: 19 pages, 6 figures. Substantially updated from previous versio

A Radio Study of the Seyfert Galaxy IC 5063: Evidence for Fast Gas Outflow

New radio continuum (8 GHz and 1.4 GHz) and HI 21 cm line observations of the Seyfert 2 galaxy IC 5063 (PKS 2048-572) were obtained with the Australia Telescope Compact Array (ATCA). The 8 GHz image reveals a linear triple structure (~4'', 1.5 kpc) oriented perpendicular to the optical polarization position angle. It is aligned with the inner dust lane and shows strong morphological association with the narrow emission line region (NLR). At 21 cm, very broad (~700 km/s) HI absorption is observed against the strong continuum source. This absorption is almost entirely blueshifted, indicating a fast net outflow, but a faint and narrow redshifted component is also present. In IC 5063 we see clear evidence for strong shocks resulting from the radio plasma-ISM interaction in the central few kpc. However, the energy flux in the radio plasma is an order of magnitude smaller than the energy emitted in emission lines. Thus, shocks are unlikely to account solely for the global ionization of the emission line region, particularly at large distances. The HI emission outlines a warped disk associated with the system of dust lanes some ~2' (~38 kpc) in radius. The lack of kinematically disturbed gas outside the central few kpc, coupled with the disk warp and close morphological connection of the inner dust lanes and the large-scale ionized gas, support the idea that the gas at large radii is photoionized by the central region, while shadowing effects are important in defining its X-shaped morphology. The kinematics of the ionized and of the neutral gas suggests the existence of a dark halo.Comment: 18 pages, 8 Postscript figures, 3 jpeg figures, Postscript preprint is available from http://jhufos.pha.jhu.edu/~zlatan/papers.htm

A Sample of Low Redshift BL Lacs. I. The Radio Data

We present a new sample of 30 nearby (z<0.2) BL Lacs, selected to study the nuclear as well as the large scale properties of low power radio sources. In this first paper, we show and discuss new radio data taken with the VLA (19 objects at 1.4 GHz, either in A or C configuration, or both) as well as with the VLBA (15 sources at 5 GHz). On the kiloparsec scale, all objects exhibit a compact core and a variety of radio morphologies (jets, halos, secondary compact components). On the parsec scale, we find weak cores and a few short, one-sided, jets. From the jet/counter-jet ratio, core dominance, and synchrotron self Compton model we estimate the intrinsic orientation and velocity of the jets. The resulting properties of BL Lacs are similar to those of a parent population composed of FR I radio galaxies.Comment: 46 pages, 12 figures, accepted for publication in Ap

A linguistic analysis of lying in negative evaluations: The speech act performance of Chinese learners of Korean

이 논문은 중국인 한국어 학습자와 한국어 화자들 사이의 ‘거짓말’ 화행 양상을 언어학적으로 분석한 연구이다. 여기서 말하는 ‘거짓말’이란 요청, 사과, 거절 등과 같은 화행의 일종으로서 ‘부정적 평가’에 속하며 대화 참여자나 상황을 고려한 소위 ‘선의의 거짓말’을 가리키는 것으로 이해할 수 있을 것이다. 우리는 중국인 한국어 학습자 15명과 한국어 화자 15명을 대상으로 담화완성테스트(DCT)와 부연설명질문지(QFE)를 사용하여 피실험자들의 화행을 분석하였다. 피실험자 자신들의 설명과 한국어교육 전문가 다섯 명의 판정을 종합해 ‘거짓말’ 화행을 가려내고 통계 처리를 바탕으로 다음과 같은 결론에 도달했다. 한국어 화자들이 중국인 한국어 학습자들보다 (선의의) 거짓말을 더 많이 수행하는 것으로 나타났다. 그리고 두 집단 모두 부정적 평가가 사물에 관련된 경우보다 사람에 관련된 경우에 ‘거짓말’ 화행을 더 많이 사용한다. 그러나 화자와 청자 사이의 친소관계(distance)나 상하관계(power)는 거짓말 사용에 직접적 상관 관계를 보여주지 않았다. 이 연구는 지금까지 화행 연구 중에서 상대적으로 연구가 부진했던 부정평가와 ‘거짓말’ 화행에 대한 분석을 시도했다는 점에서 의미가 있다. 또한 한국어 화자와 중국인 한국어 학습자 사이에 보이는 화행 수행의 차이를 문화인식(cultural awareness)의 관점에서 해석해 볼 수 있는 가능성도 열어 주었다

An X-ray Spectral Survey of Radio-Loud AGN With ASCA

We present a uniform and systematic analysis of the 0.6-10 keV X-ray spectra of radio-loud active galactic nuclei (AGN) observed by ASCA. The sample 10 BLRGs, 5 QSRs, 9 NLRGs, and 10 RGs. At soft X-rays, about half of the NLRGs and all of the RGs exhibit a thermal plasma component, with a bimodal distribution of temperatures and luminosities, suggesting an origin either in a surrounding cluster or loose group or in a hot corona. At energies above 2 keV, a hard power-law component is detected in 90% of cases. The power-law photon indices and luminosities in BLRGs, QSRs, and NLRGs are similar, consistent with orientation-based unification schemes. Significant excess cold absorption is detected in most NLRGs, but also in some BLRGS and QSRs, which was somewhat unexpected. In contrast to Seyfert galaxies, only one object showss the signature of a warm absorber. The nuclear X-ray luminosity is correlated with the luminosity of the [O III] emission line, the FIR emission at 12 microns, and the lobe radio power at 5 GHz. The Fe K line is detected in 50% of BLRGs, one QSR, and a handful of NLRGs. This sample also includes 6 Weak Line Radio Galaxies (WLRGs). Their spectra WLRGs can be generally decomposed into a soft thermal component with hard absrorbed power-law component, which is significantly flatter than any other radio-loud AGNs. Their intrinsic luminosities are two orders of magnitude lower than in other sources of the sample. An interesting possibility is that WLRGs represent an extreme population of radio galaxies in which the central black hole is accreting at a rate well below the Eddington rate.Comment: To appear in the Astrophysical Journal. 72 pages, including many tables and figures. Fig 1 is separate, in TIFF format. Postscript version of fig 1 and postscript version of entire preprint can be obtained from http://www.astro.psu.edu/users/mce/preprint_index.htm

Multifrequency Radiation of Extragalactic Large-Scale Jets

Large-scale extragalactic jets, observed to extend from a few to a few hundred kiloparsecs from active galactic nuclei, are now studied over many decades in frequency of electromagnetic spectrum, from radio until (possibly) TeV gamma rays. For hundreds of known radio jets, only about 25 are observed at optical frequencies. Most of them are relatively short and faint, with only a few exceptions, like 3C 273 or M 87, allowing for detailed spectroscopic and morphological studies. Somewhat surprisingly, the large-scale jets can be very prominent in X-rays. Up to now, about 25 jets were detected within the 1 - 10 keV energy range, although the nature of this emission is still under debate. In general, both optical and X-ray jet observations present serious problems for standard radiation models for the considered objects. Recent TeV observations of M 87 suggest the possibility of generating large photon fluxes at these high energies by its extended jet. In this paper we summarize information about multiwavelength emission of the large-scale jets, and we point out several modifications of the standard jet radiation models (connected with relativistic bulk velocities, jet radial stratification and particle energization all the way along the jet), which can possibly explain some of the mentioned puzzling observations. We also comment on gamma-ray emission of the discussed objects.Comment: 29 pages. Modified version, accepted for publication in Chinese Journal of Astronomy and Astrophysic