Generalized Fock Spaces and New Forms of Quantum Statistics

The recent discoveries of new forms of quantum statistics require a close look at the under-lying Fock space structure. This exercise becomes all the more important in order to provide a general classification scheme for various forms of statistics, and establish interconnections among them whenever it is possible. We formulate a theory of generalized Fock spaces, which has a three tired structure consisting of Fock space, statistics and algebra. This general formalism unifies various forms of statistics and algebras, which were earlier considered to describe different systems. Besides, the formalism allows us to construct many new kinds of quantum statistics and the associated algebras of creation and destruction operators. Some of these are: orthostatistics, null statistics or statistics of frozen order, quantum group based statistics and its many avatars, and `doubly-infinite' statistics. The emergence of new forms of quantum statistics for particles interacting with singular potential is also highlighted.Comment: 9 pages, LaTex, Appeared in Spin-Statistics Connection and Commutation Relations, edited by R.C. Hilborn and G.M. Tino, (American Institute of Physics, NY, 2000) p. 16

Fock Space Representation of Differential Calculus on the Noncommutative Quantum Space

A complete Fock space representation of the covariant differential calculus on quantum space is constructed. The consistency criteria for the ensuing algebraic structure, mapping to the canonical fermions and bosons and the consequences of the new algebra for the statistics of quanta are analyzed and discussed. The concept of statistical transmutation between bosons and fermions is introduced

Neutrino oscillation probabilities: Sensitivity to parameters

We study in detail the sensitivity of neutrino oscillation probabilities to the fundamental neutrino parameters and their possible determination through experiments. The first part of the paper is devoted to the broad theme of isolating regions in the neutrino (and anti-neutrino) energy and propagation length that are sensitive to the oscillation parameters. Such a study is relevant to neutrinos both from the Earth's atmosphere or from a neutrino factory. For completeness we discuss the sensitivity, however small, to the parameters involved in a three-generation framework, and to the Earth matter density profile. We then study processes relevant to atmospheric neutrinos which are sensitive to and allow precision measurements of the mixing angle theta_23 and mass-squared difference delta_32 apart from the mixing angle theta_13. Crucial to this analysis is charge identification; detectors having this capability can isolate these matter effects. In particular, we address the issue of using matter effects to determine whether the mixing angle theta_23 is maximal, and, if not, to explore how well its octant can be determined. When realistic detector resolutions are included, we find that deviations of about 15% (20%) from a maximal value of sin^2 theta_23=1/2 can be measured at 95% (99%) CL provided theta_13 is non-zero, sin^2 theta_13 >= 0.015, and the neutrino mass ordering is normal, with fairly large exposures of 1000 kton-years.Comment: 37 pages Latex file, 30 eps figure files; minor typos fixe

A PILOT STUDY ON MANAGEMENT OF MADHUMEGAM (DIABETES MELLITUS TYPE-II) AT NATIONAL INSTITUTE OF SIDDHA, CHENNAI-47.

    To rule out which of the combination of drug is the most beneficial for the patient to manage Madhumegam(Diabetes-Type-2). Some of them are taking only siddha medicines, and some of them are taking siddha medicines combined with allopathic medicines. So we have planned to do a pilot study on the management of Madhumegam patients in NIS as a Retrospective study.Data collection for assessment has been done by retrieving from the individuals' OPD records and using questionnaire method, at the time of OPD treatment at NIS. Data for 105 Madhumegam patients were collected  and taken up for the study.The statistical analysis reveals that the reduction of blood sugar for(siddha only) Group I at fasting was statistically significant(P<0.0001) and Group-II(siddha and allopathy) it was not significant(P=0.73).  The statistical analysis reveals that the reduction of blood sugar for(siddha only) Group I at postprandial was statistically significant(P<0.0001) and Group-II(siddha and allopathy) it was not significant(P=0.55). The stability of sugar level is seen in siddha group, but a marked deviation is in the combined group. The siddha medicine alone treated group (Group I) shows significant reduction of blood sugar both at fasting and post prandial. The siddha and allopathy treated group(Group II) has not shown significant reduction.Key words: Madhumegam, siddha,diabetes,allopathy, Retrospective, blood sugar

Double Threefold Degeneracies for Active and Sterile Neutrinos

We explore the possibility that the 3 active (doublet) neutrinos have nearly degenerate masses which are split only by the usual seesaw mechanism from 3 sterile (singlet) neutrinos in the presence of a softly broken $A_4$ symmetry. We take the unconventional view that the sterile neutrinos may be light, i.e. less than 1 keV, and discuss some very interesting and novel phenomenology, including a connection between the LSND neutrino data and solar neutrino oscillations.Comment: 8 pages, no figur

Hexagonal SU(3) Unification and its Manifestation at the TeV Scale

We consider $SU(3)_{C}\times SU(2)_{AL}\times SU(2)_{BL}\times U(1)_{Y}$ as the low-energy subgroup of supersymmetric $SU(3)^{6}$ unification. This may imply small deviations from quark-lepton universality at the TeV scale, as allowed by neutron-decay data. New particles are predicted with specific properties. We discuss in particular the new heavy gauge bosons corresponding to $SU(2)_{AL} \times SU(2)_{BL} \to SU(2)_L$

Sinteza novih derivata triazola kao anti-nociceptivnih i protuuaplnih agenasa

Eight novel 1-[2-(1H-tetrazol-5-yl)ethyl]-1H-benzo[d][1,2,3]triazoles (3a-h) have been synthesized in order to obtain new compounds with potential anti-nociceptive and anti-inflammatory activity. The titled compounds were synthesized by the condensation of 1-[2-(1H-tetrazol-5-yl)ethyl]-1H-benzotriazole (2) and appropriate acid chlorides. Compound (2) was synthesized by reacting 3-(1H-benzo[d][1,2,3]triazol-1-yl)propanonitrile (1) with sodium azide and ammonium chloride in the presence of dimethylformamide. The synthesized compounds were characterized by spectroscopic methods (IR, 1H NMR, mass spectroscopy) and elemental analysis. The titled compounds were evaluated for anti-nociceptive activity by the hot plate method and the writhing response method and anti-inflammatory activity was evaluated by the carragenean induced paw edema method. 5-(2-(1H-benzo[d][1,2,3]triazo-1-yl)ethyl)-1H-tetrazol-1-yl)(4-aminophenyl)methanone (3d) and 5-(2-(1H-benzo[d][1,2,3]triazo-1-yl)ethyl)-1H-tetrazol-1-yl) (2-hydroxyphenyl)methanone (3g) exhibited significant anti-nociceptive activity. 1-(2-(1-Tosyl-1H-tetrazol-5-yl)ethyl)-1H-benzo[d][1,2,3]triazole (3c) and 4-5-(2-(1H-benzo[d][1,2,3]triazo-1-yl)ethyl)-1H-tetrazol-1-yl sulfonyl)benzenamine (3f) elicited superior anti-inflammatory activity compared to other synthesized compounds. Further investigations are needed to discern the mechanism of action.Sintetizirano je osam novih 1-[2-(1H-tetrazol-5-il)etil]-1H-benzo[d][1,2,3]triazola (3a-h), s potencijalnim anti-nociceptivnim i protuupalnim djelovanjem. Navedeni spojevi pripravljeni su kondenzacijom 1-[2-(1H-tetrazol-5-il)etil]-1H-benzotriazola (2) i odgovarajućih kiselinskih klorida. Spoj 2 dobiven je reakcijom 3-(1H-benzo[d][1,2,3]triazol-1-il)propanonitrila (1) s natrijevim azidom i amonijevim kloridom u prisutnosti dimetilformamida. Sintetizirani spojevi su karakterizirani spektroskopskim metodama (IR, 1H NMR, spektroskopijom masa) i elementarnom analizom. Anti-nociceptivno djelovanje ispitivano je metodom vruće ploče i praćenjem odgovora na bolne podražaje, dok je protuupalno djelovanje evaluirano testom s karageninom. 5-(2-(1H-benzo[d][1,2,3]triazo-1-il)etil)-1H-tetrazol-1-il)(4-aminofenil)metanon (3d) i 5-(2-(1H-benzo[d][1,2,3]triazo-1-il)etil)-1H-tetrazol-1-il) (2-hidroksifenil)metanon (3g) pokazali su značajno anti-nociceptivno djelovanje. 1-(2-(1-Tosil-1H-tetrazol-5-il)etil)-1H-benzo[d][1,2,3]triazol (3c) i 4-5-(2-(1H-benzo[d][1,2,3]triazo-1-il)etil)-1H-tetrazol-1-il sulfonil)benzenamin (3f) pokazali su superiorno protuupalno djelovanje u odnosu na druge sintetizirane spojeve. Daljnja istraživanja su nužna kako bi se razjasnio mehanizam djelovanja