Non-Hermitian von Roos Hamiltonian's η\eta-weak-pseudo-Hermiticity, isospectrality and exact solvability

A complexified von Roos Hamiltonian is considered and a Hermitian first-order intertwining differential operator is used to obtain the related position dependent mass $\eta$-weak-pseudo-Hermitian Hamiltonians. Using a Liouvillean-type change of variables, the $\eta$-weak-pseudo-Hermitian von Roos Hamiltonians H(x) are mapped into the traditional Schrodinger Hamiltonian form H(q), where exact isospectral correspondence between H(x) and H(q) is obtained. Under a user-friendly position dependent mass settings, it is observed that for each exactly-solvable $\eta$-weak-pseudo-Hermitian reference-Hamiltonian H(q)there is a set of exactly-solvable $\eta$-weak-pseudo-Hermitian isospectral target-Hamiltonians H(x). A non-Hermitian PT-symmetric Scarf II and a non-Hermitian periodic-type PT-symmetric Samsonov-Roy potentials are used as reference models and the corresponding $\eta$-weak-pseudo-Hermitian isospectral target-Hamiltonians are obtained.Comment: 11 pages, no figures

Classical and quantum quasi-free position dependent mass; P\"oschl-Teller and ordering-ambiguity

We argue that the classical and quantum mechanical correspondence may play a basic role in the fixation of the ordering-ambiguity parameters. We use quasi-free position-dependent masses in the classical and quantum frameworks. The effective P\"oschl-Teller model is used as a manifested reference potential to elaborate on the reliability of the ordering-ambiguity parameters available in the literature.Comment: 10 page

Position-dependent-mass; Cylindrical coordinates, separability, exact solvability, and PT-symmetry

The kinetic energy operator with position-dependent-mass in cylindrical coordinates is obtained. The separability of the corresponding Schr\"odinger equation is discussed within radial cylindrical mass settings. Azimuthal symmetry is assumed and spectral signatures of various z-dependent interaction potentials (Hermitian and non-Hermitian PT-symmetric) are reported.Comment: 16 page

d-Dimensional generalization of the point canonical transformation for a quantum particle with position-dependent mass

The d-dimensional generalization of the point canonical transformation for a quantum particle endowed with a position-dependent mass in Schrodinger equation is described. Illustrative examples including; the harmonic oscillator, Coulomb, spiked harmonic, Kratzer, Morse oscillator, Poschl-Teller and Hulthen potentials are used as reference potentials to obtain exact energy eigenvalues and eigenfunctions for target potentials at different position-dependent mass settings.Comment: 14 pages, no figures, to appear in J. Phys. A: Math. Ge

Bound - states for truncated Coulomb potentials

The pseudoperturbative shifted - $l$ expansion technique PSLET is generalized for states with arbitrary number of nodal zeros. Bound- states energy eigenvalues for two truncated coulombic potentials are calculated using PSLET. In contrast with shifted large-N expansion technique, PSLET results compare excellently with those from direct numerical integration.Comment: TEX file, 22 pages. To appear in J. Phys. A: Math. & Ge

Can board environmental orientation improve U.S. firms' carbon performance? The mediating role of carbon strategy

Overwhelming evidence from prior research suggests a positive association between corporate board characteristics and carbon performance; however, very little is known about the mechanisms linking the two variables. This study attempts to fill this gap by developing and empirically testing a conceptual model that highlights the role of carbon strategy in the relationship between board environmental orientation (BEO) and carbon performance. We argue that BEO can directly and indirectly influence carbon performance through carbon strategy. Using structural equation modelling to analyse data consisting of 2,301 US firm-year observations over the 2005-2015 period, we find that the greater the BEO is, the better its carbon performance (i.e., lower greenhouse gas emissions). The results also provide evidence of the mediating effect of carbon strategy on the relationship between BEO and carbon performance. Splitting the sample into high and low carbon-intensive industries shows a partial mediation effect in high carbon-intensive industries and a full mediation effect in low carbon-intensive industries. The findings of the study and its implications for scholars, policy makers, managers, investors and environmentalists are discussed

Part of the D - dimensional Spiked harmonic oscillator spectra

The pseudoperturbative shifted - l expansion technique PSLET [5,20] is generalized for states with arbitrary number of nodal zeros. Interdimensional degeneracies, emerging from the isomorphism between angular momentum and dimensionality of the central force Schrodinger equation, are used to construct part of the D - dimensional spiked harmonic oscillator bound - states. PSLET results are found to compare excellenly with those from direct numerical integration and generalized variational methods [1,2].Comment: Latex file, 20 pages, to appear in J. Phys. A: Math. & Ge

Karakterisasi Gerak Tubuh Penyandang Autis Dalam Mengidentifikasi Bangun Ruang

Karakterisasi Gerak Tubuh Penyandang Autis dalam Mengidentifikasi Bangun Ruang. Penelitian ini bertujuan untuk mendeskripsikan gerak tubuh penyandang autis dalam mengidentifikasi bangun ruang. Subjek penelitian adalah siswa penyandang autis di sekolah khusus autis, SLB, atau sekolah-sekolah inklusi. Pemilihan subjek dilakukan hingga diperoleh kejenuhan data. Pengumpulan data dilaku­kan selama pembelajaran matematika tentang bangun ruang, dengan merekam aktivitas guru dan siswa menggunakan kamera audio visual. Data yang terkumpul dianalisis secara eksploratif. Hasil penelitian menunjukkan bahwa gerak tubuh penyandang autis dalam memahami bangun ruang terbagi dalam dua kategori, yaitu matching gesture dan discrepancy gesture. Matching gesture menunjukkan kesesuaian gerakan atau ekspresi wajah pada saat mengamati, menunjuk, dan mengungkap/menyebut objek yang diamati, sedangkan discrepancy gesture menunjukkan adanya ketidaksesuaian gerakan atau ekspresi wajah pada saat mengamati, menunjuk, dan mengungkap/menyebut objek yang diamati

On the Explanation of the Paramagnetic Meissner Effect in Superconductor/Ferromagnet Heterostructures

An increase of the magnetic moment in superconductor/ferromagnet (S/F) bilayers V(40nm)/F [F$=$Fe(1,3nm), Co(3nm), Ni(3nm)] was observed using SQUID magnetometry upon cooling below the superconducting transition temperature Tc in magnetic fields of 10 Oe to 50 Oe applied parallel to the sample surface. A similar increase, often called the paramagnetic Meissner effect (PME), was observed before in various superconductors and superconductor/ferromagnet systems. To explain the PME effect in the presented S/F bilayers a model based on a row of vortices located at the S/F interface is proposed. According to the model the magnetic moment induced below Tc consists of the paramagnetic contribution of the vortex cores and the diamagnetic contribution of the vortex-free region of the S layer. Since the thickness of the S layer is found to be 3-4 times less than the magnetic field penetration depth, this latter diamagnetic contribution is negligible. The model correctly accounts for the sign, the approximate magnitude and the field dependence of the paramagnetic and the Meissner contributions of the induced magnetic moment upon passing the superconducting transition of a ferromagnet/superconductor bilayer

Determination of Carbendazim Fungicide and Oxymatrine Insecticide Residues in the Soils of Four Agriculture Stations in Basrah Governorate by HPLC

The current study was concentrated on the determination of carbendazim fungicide and oxymatrine insecticide residues in four agriculture stations at Basrah governorate ; Abu Al-Kaseeb,Al-Hartha, Al-Zubair and ShattAl-Arab. High pressure liquid chromatography (HPLC) was used to determinedthe carbendazim residues  which range between (0-3.05µg/g) .The highest value 3.05µg/g was recorded in Shatt Al- Arab station while the lowest value was recorded in Al-Zubair station.oxymatrine residues range between (0-1.89 µg/g) and the highest value 1.89µg/g was recorded in  Al-Hartha station while the lowest value was recorded in Shatt Al- Arab station.There is no study on carbendazim and oxymatrine residues in soil, so this study was the first of its kind in the region which could be used as a baseline study for incoming study. Keywords: Oxymatrine, Carbendazim, Basrah soil, HPLC.