Boundary Effects in the One Dimensional Coulomb Gas

We use the functional integral technique of Edwards and Lenard to solve the statistical mechanics of a one dimensional Coulomb gas with boundary interactions leading to surface charging. The theory examined is a one dimensional model for a soap film. Finite size effects and the phenomenon of charge regulation are studied. We also discuss the pressure of disjunction for such a film. Even in the absence of boundary potentials we find that the presence of a surface affects the physics in finite systems. In general we find that in the presence of a boundary potential the long distance disjoining pressure is positive but may become negative at closer interplane separations. This is in accordance with the attractive forces seen at close separations in colloidal and soap film experiments and with three dimensional calculations beyond mean field. Finally our exact results are compared with the predictions of the corresponding Poisson-Boltzmann theory which is often used in the context of colloidal and thin liquid film systems.Comment: 28 pages, LATEX2e, 11 figures, uses styles[12pt] resubmission because of minor corrections to tex

The Schrodinger-like Equation for a Nonrelativistic Electron in a Photon Field of Arbitrary Intensity

The ordinary Schrodinger equation with minimal coupling for a nonrelativistic electron interacting with a single-mode photon field is not satisfied by the nonrelativistic limit of the exact solutions to the corresponding Dirac equation. A Schrodinger-like equation valid for arbitrary photon intensity is derived from the Dirac equation without the weak-field assumption. The "eigenvalue" in the new equation is an operator in a Cartan subalgebra. An approximation consistent with the nonrelativistic energy level derived from its relativistic value replaces the "eigenvalue" operator by an ordinary number, recovering the ordinary Schrodinger eigenvalue equation used in the formal scattering formalism. The Schrodinger-like equation for the multimode case is also presented.Comment: Tex file, 13 pages, no figur

KEDUDUKAN AHLI WARIS NON MUSLIM DALAM KEWARISAN ISLAM (STUDI KASUS PUTUSAN NOMOR : 1578/PDT.G/2010/PA.JT)

Salah satu pembahasan dalam ilmu mawaris adalah pembahasan tentang penghalang dalam kewarisan. Penghalang dalam kewarisan ada tiga penyebabnya yaitu pembunuhan yang disengaja, beda agama dan perbudakan. Beda agama adalah apabila antara ahli waris dan pewaris salah satunya beragama Islam dan yang lain tidak beragama Islam. Tentang perbedaan agama antara pewaris dan ahli waris, dapat menggugurkan hak seseorang untuk mewarisi harta peninggalan. Rumusan masalah dalam penelitian ini ialah bagaimana kedudukan ahli waris non muslim dalam kewarisan Islam dan apakah pertimbangan Hakim dalam putusan nomor : 1578/Pdt.G/2010/PA.JT telah sesuai dengan hukum Islam serta Kompilasi Hukum Islam. Metode pendekatan yang digunakan peneliti adalah library research (yurudis normatif). Yaitu suatu pendekatan alternatif yang menganalisa bahan-bahan pustaka di bidang hukum yang norma- normanya tertulis dan spesifikasi penelitian deskriptis analitis, yaitu dengan menggunakan metode dan teori ilmu-ilmu sosial tentang hukum untuk membantu peneliti dalam melakukan analisis. Hasil dari penelitian ini diperoleh kesimpulan yakni : (1) Hukum Islam menegaskan prinsip dalam kewarisan bahwa ahli waris non muslim tidak mempunyai kedudukan untuk mewarisi harta dari pewaris muslim, sebagaimana yang telah diatur dalam Al-Qur’an, Hadits serta Kompilasi Hukum Islam. (2) Dalam pertimbangan hakim Pengadilan Agama Jakarta Timur dianggap telah terjadi kekeliruan mengenai pemahaman tentang kompetensi absolut Pengadilan Negeri Jakarta Timur yang menetapkan masalah kewarisan Islam, karena pada dasarnya yang mempunyai kewenangan absolut ialah Pengadilan Agama Jakarta Timur. Hal tersebut menimbulkan dasar penolakan hakim Pengadilan Agama menolak gugatan perkara ahli waris, yang menyebabkan ahli waris non muslim memperoleh kembali hak kewarisannya. Hasil dari putusan tersebut ditinjau secara sudut pandang Islam sangat bertentangan dengan Al- Qur’an dan Hadits serta ketentuan menurut perspektif Kompilasi Hukum Islam, bahwa mengenai sistem kewarisan Islam tidak mengakui ahli waris non muslim sebagai ahli waris dari pewaris muslim

Bell's inequality and the coincidence-time loophole

This paper analyzes effects of time-dependence in the Bell inequality. A generalized inequality is derived for the case when coincidence and non-coincidence [and hence whether or not a pair contributes to the actual data] is controlled by timing that depends on the detector settings. Needless to say, this inequality is violated by quantum mechanics and could be violated by experimental data provided that the loss of measurement pairs through failure of coincidence is small enough, but the quantitative bound is more restrictive in this case than in the previously analyzed "efficiency loophole."Comment: revtex4, 3 figures, v2: epl document class, reformatted w slight change

Path integrals for stiff polymers applied to membrane physics

Path integrals similar to those describing stiff polymers arise in the Helfrich model for membranes. We show how these types of path integrals can be evaluated and apply our results to study the thermodynamics of a minority stripe phase in a bulk membrane. The fluctuation induced contribution to the line tension between the stripe and the bulk phase is computed, as well as the effective interaction between the two phases in the tensionless case where the two phases have differing bending rigidities.Comment: 11 pages RevTex, 4 figure

Studies on the Accumulation of Chromium in Fenugreek

Studying Cr uptake by Fenugreek, we note that the maximum concentration of Cr takes place in the shells of the pods followed by leaves, stems and seeds in that order. Interestingly, applied higher doses of Cr does not increase accumulation of Cr in the stems, rather Cr content in the stems levels off. However, the maximum dispersal/distribution of Cr taken up is in the leaves

Chromium uptake by Fenugreek

Fenugreek (Trigonella foenum- graecum) is both herb (leaves) and a spice (seed) belonging to the family Fabaceae. Fenugreek leaves and seeds are used in the cuisine of India. Fenugreek also has medicinal value. Fenugreek seeds are known to reduce serum glucose and improve glucose tolerance and hence are prescribed to diabetic patients. In the recent past supplemental Chromium is being prescribed to diabetic patients to activate (increased- insulin binding, insulin receptor number, insulin receptor phosphorylation) insulin. Plants can uptake substantial quantities of toxic metals from contaminated soils if these soils are well ameliorated. 

It is then probable that the medicinal efficacy of Fenugreek in the case of diabetes could be enhanced if it takes up chromium from the soil. Preliminary studies are being conducted to note the chromium uptake by Fenugreek from soils which are applied with potassium dichromate

The Study of the Heisenberg-Euler Lagrangian and Some of its Applications

The Heisenberg-Euler Lagrangian is not only a topic of fundamental interest, but also has a rich variety of diverse applications in astrophysics, nonlinear optics and elementary particle physics etc. We discuss the series representation of this Lagrangian and a few of its applications in this study. [In an appendix, we discuss issues related to the renormalization - and the renormalization-group invariance - of the Heisenberg-Euler Lagrangian and its two-loop generalization.]Comment: 12 pages, LaTeX; Proceedings of the MRST-2003 conference; talk given by S. R. Vallur