SUSY-Based Variational Method for the Anharmonic Oscillator

Using a newly suggested algorithm of Gozzi, Reuter, and Thacker for calculating the excited states of one dimensional systems, we determine approximately the eigenvalues and eigenfunctions of the anharmonic oscillator, described by the Hamiltonian $H= p^2/2 + g x^4$. We use ground state post-gaussian trial wave functions of the form $\Psi(x) = N{\rm{exp}}[-b |x|^{2n}]$, where $n$ and $b$ are continuous variational parameters. This algorithm is based on the hierarchy of Hamiltonians related by supersymmetry (SUSY) and the factorization method. We find that our two parameter family of trial wave functions yields excellent energy eigenvalues and wave functions for the first few levels of the anharmonic oscillator.Comment: 9 pages, LaTeX, 2 Figures (request), to be published in Physics Letters

VALUASI SAHAM PERUSAHAAN DENGAN MENGGUNAKAN PENDEKATAN FREE CASH FLOW TO FIRM DAN RELATIVE VALUATION PADA SEKTOR OTOMOTIF DAN KOMPONEN SUB SEKTOR BAN YANG TERDAFTAR DI BURSA EFEK INDONESIA PERIODE 2014-2018

Berinvestasi di Sub-Sektor Ban masih menjanjikan. Saham sub-sektorban dianggap paling prospektif pada 2018 seiring dengan membaiknya fundamental masing-masing penerbit dengan meningkatkan tingkat ekspor ban, terutama ke Eropa. GDYR, GJTL, dan MASA adalah tiga emiten yang terdaftar di Bursa Efek Indonesia pada 2014-2018. Tesis ini menganalisis harga intrinsik dari saham-saham di Sub-Sektor Ban menggunakan Metode Discounted Cash Flow - Arus Kas Gratis ke Perusahaan (FCFF) dan pendekatan Penilaian Relatif (RV), kemudian memberikan rekomendasi kepada para investor apakah ketiga nilai saham tersebut adalah dinilai terlalu tinggi, dinilai wajar, atau overvalued dan merekomendasikan tindak lanjut untuk hasil penilaian. Dasar estimasi adalah analisis laporan keuangan ketiga perusahaan pada periode 2014 hingga 2018, untuk melakukan penilaian harga wajar saham pada 2018 dan perpanjangan estimasi harga saham pada tahun 2019. Dengan pendekatan DCF-FCFF, hasilnya menunjukkan bahwa saham GDYR overvalued di semua skenario. Harga saham GJTL juga overvalued di skenario Optimis dan Moderat, namun skenario Pesimis overvalued. Sementara itu, harga saham MASA adalah overvalued di semua skenario. Dengan pendekatan PER, hasilnya menunjukkan bahwa saham GDYR & MASA berada dalam posisi overvalued di semua skenario. Namun saham GJTL berada dalam posisi overvalued di semua skenario. Dengan pendekatan PBV, hasilnya menunjukkan bahwa harga saham GDYR & MASA berada dalam posisi overvalued di semua skenario. Namun harga saham GJTL berada di posisi overvalued di semua skenario. Kata kunci: ban, DCF, FCFF, per, pbv, rv, valuas

Dessins, their delta-matroids and partial duals

Given a map $\mathcal M$ on a connected and closed orientable surface, the delta-matroid of $\mathcal M$ is a combinatorial object associated to $\mathcal M$ which captures some topological information of the embedding. We explore how delta-matroids associated to dessins d'enfants behave under the action of the absolute Galois group. Twists of delta-matroids are considered as well; they correspond to the recently introduced operation of partial duality of maps. Furthermore, we prove that every map has a partial dual defined over its field of moduli. A relationship between dessins, partial duals and tropical curves arising from the cartography groups of dessins is observed as well.Comment: 34 pages, 20 figures. Accepted for publication in the SIGMAP14 Conference Proceeding

Stimulated radiative laser cooling

Building a refrigerator based on the conversion of heat into optical energy is an ongoing engineering challenge. Under well-defined conditions, spontaneous anti-Stokes fluorescence of a dopant material in a host matrix is capable of lowering the host temperature. The fluorescence is conveying away a part of the thermal energy stored in the vibrational oscillations of the host lattice. In particular, applying this principle to the cooling of (solid-state) lasers opens up many potential device applications, especially in the domain of high-power lasers. In this paper, an alternative optical cooling scheme is outlined, leading to radiative cooling of solid-state lasers. It is based on converting the thermal energy stored in the host, into optical energy by means of a stimulated nonlinear process, rather than a spontaneous process. This should lead to better cooling efficiencies and a higher potential of applying the principle for device applications

High Energy Theorems at Large-N

Sum rules for products of two, three and four QCD currents are derived using chiral symmetry at infinite momentum in the large-N limit. These exact relations among meson decay constants, axialvector couplings and masses determine the asymptotic behavior of an infinite number of QCD correlators. The familiar spectral function sum rules for products of two QCD currents are among the relations derived. With this precise knowledge of asymptotic behavior, an infinite number of large-N QCD correlators can be constructed using dispersion relations. A detailed derivation is given of the exact large-N pion vector form factor and forward pion-pion scattering amplitudes.Comment: 34 pages TeX and mtexsis.tex, 10 figures (uses epsf

First examples of functionalisation of meso-aryl tetrabenzotriazaporphyrins (TBTAPs) through cross-coupling reactions

Recent synthetic advances have given convenient access to tetrabenzotriazaporphyrins (TBTAPs) functionalised with meso-aryl substituents. In this paper we report the first examples of further functionalization of the meso-sites through Suzuki-Miyaura and copper-free Sonagashira cross-coupling reactions of the meso-(bromophenyl)TBTAPs, demonstrating the breadth of new materials design now possible in the hybrid macrocycles

Catalog of dessins d'enfants with \le 4 edges

In this work all the dessins d'enfant with no more than 4 edges are listed and their Belyi pairs are computed. In order to enumerate all dessins the technique of matrix model computations was used. The total number of dessins is 134; among them 77 are spherical, 53 of genus 1 and 4 of genus 2. The orders of automorphism groups of all the dessins are also found. Dessins are listed by the number of edges. Dessins with the same number of edges are ordered lexicographically by their lists of 0-valencies. The corresponding matrix model for any list of 0-valencies is given and computed. Complex matrix models for dessins with 1 -- 3 edges are used. For the dessins with 4 edges we use Hermitian matrix model, correlators for which are computed in [1].Comment: 64 pages, 134 figure

Anti-Stokes laser cooling in bulk Erbium-doped materials

We report the first observation of anti-Stokes laser-induced cooling in the Er^{3+}:KPb_{2}Cl_{5} crystal and in the Er^{3+}:CNBZn (CdF_{2}-CdCl_{2}-NaF-BaF_{2}-BaCl_{2}-ZnF_{2}) glass. The internal cooling efficiencies have been calculated by using photothermal deflection spectroscopy. Thermal scans acquired with an infrared thermal camera proved the bulk cooling capability of the studied samples. Implications of these results are discussed.Comment: 4 pages, 4 figures. The figures enclosed with this submission are low quality ones. Versions of this paper with high quality figures are available upon reques