Kinetic energy functional for Fermi vapors in spherical harmonic confinement

Two equations are constructed which reflect, for fermions moving independently in a spherical harmonic potential, a differential virial theorem and a relation between the turning points of kinetic energy and particle densities. These equations are used to derive a differential equation for the particle density and a non-local kinetic energy functional.Comment: 8 pages, 2 figure

Metastable states of a ferromagnet on random thin graphs

We calculate the mean number of metastable states of an Ising ferromagnet on random thin graphs of fixed connectivity c. We find, as for mean field spin glasses that this mean increases exponentially with the number of sites, and is the same as that calculated for the +/- J spin glass on the same graphs. An annealed calculation of the number <N_{MS}(E)> of metastable states of energy E is carried out. For small c, an analytic result is obtained. The result is compared with the one obtained for spin glasses in order to discuss the role played by loops on thin graphs and hence the effect of real frustration on the distribution of metastable states.Comment: 15 pages, 3 figure

Nitrosyl chloride addition to cycloalkenyltrimethylsilanes. An unexpected reversal of regiochemistry of addition, and synthesis of β-​aminosilanes

5-​12-​Membered cycloalkenyltrimethylsilanes and trimethyl(2-​norbornenyl)​silane undergo stereo- and regioselective addn. of nitrosyl chloride, affording silylated chloronitrosocycloalkane intermediates, the corresponding diazene dioxide dimers and eventually α-​chlorocycloalkanones via oxime intermediacy. The addn. is syn, with chlorine and nitrosyl group adding to C-​1 and C-​2 resp. The products dimerize to diazene dioxides, whose stability depends on the conformational flexibility of the ring, the less flexible being more stable. The less stable adducts convert to oximes and further to 1,​2-​dichloro-​1-​nitrosocycloalkanes. The adducts can be hydrolyzed to α-​chloroketones and reduced to β-​aminosilanes. Other interesting observations include transposition of keto group in α-​chloroketones and x-​ray crystal structure of the amide deriv. N-​acetyl-​3-​chloro-​3-​(trimethylsilyl)​norbornane-​2-​amine (6f)​, which reveals -​(CO)​-​HN...H-​CH2-​(CO)​- hydrogen contact

Rare case of intramuscular hemangioma of infraspinatous muscle

Intramuscular hemangiomas are rare benign neoplasms accounting for <1% of all hemangiomas. Intramuscular hemangiomas are relatively uncommon and frequently misdiagnosed, due to their vague presentations. In any patient with soft-tissue mass suspected of a hemangioma, MR imaging may provide very specific information regarding the characteristics, the origin, and the extent of the lesion than other imaging modalities. The definitive diagnosis is made by histopathological study of the surgical specimen. Here, we present a case report of intramuscular hemangioma occurring in the left infraspinatous muscle in an 18-year-old boy. Due to rare nature of such lesions, the patient's diagnosis was delayed and patient was treated for chronic pain in left shoulder joint. Magnetic resonance imaging finally clinched the diagnosis and patient was successfully operated upon and subsequently cured

Bipedicled transverse abdominal flap for coverage of exposed iliac crest due to post traumatic tissue loss in left inguinal region

It is a surgical challenge for any plastic surgeon to choose the type of flap in the case of large inguinal canal tissue loss with exposed crest of ilium. Most repair methods provide inadequate closure of the defect for the large tissue loss over the inguinal region with exposure of the iliac crest. There are very few cases reported in the literature about transverse bipedicled abdominal flap for tissue defect over the inguinal region with exposure of the iliac crest bone and upper part of the thigh. In this case, by taking advantage of the large, loose, and lax nature of the abdominal skin, systematic primary closure of the donor as well as recipient site has been successfully achieved.

Building robust m-commerce payment system on offline wireless network

Mobile commerce is one of the upcoming research area with focus on mobile payment systems. Unfortunately, the current payment systems is directly dependent on fixed infrastructure of network (cellular network), which fails to facilitate optimal level of security for the payment system. The proposed system highlights a novel approach for building a secure, scalable, and flexible e-payment systems in the distributed scenario of wireless adhoc network in offline mode of communication for enhanced security on transaction and payment process. The proposed system uses Simple Public Key Infrastructure for providing the security in payment processes. The performance analysis of the proposed model shows that the system is highly robust and secure ensuring anonymity, privacy, non-repudiation offline payment system over wireless adhoc network

Facile and One-pot Synthesis of Nα-fmoc/bsmoc/boc/z-protected Ureidopeptides and Peptidyl Ureas Employing Diphenylphosphoryl Azide [DPPA]

Diphenylphosphoryl azide (DPPA) mediated one-pot synthesis of Nα-Fmoc/Bsmoc/Boc/Z-protected ureidopeptides and peptidyl ureas as well as phenyl/succinimidyl (Nα-urethane protected) methyl carbamates starting from Nα-protected amino acids is reported. The formation of an azide, its rearrangement and coupling with an amino component is accomplished in a sequence of one-pot operations. The protocol has incorporated urea linkages in a sterically hindered peptide