Yang-Baxter algebra and generation of quantum integrable models

An operator deformed quantum algebra is discovered exploiting the quantum Yang-Baxter equation with trigonometric R-matrix. This novel Hopf algebra along with its $q \to 1$ limit appear to be the most general Yang-Baxter algebra underlying quantum integrable systems. Three different directions of application of this algebra in integrable systems depending on different sets of values of deforming operators are identified. Fixed values on the whole lattice yield subalgebras linked to standard quantum integrable models, while the associated Lax operators generate and classify them in an unified way. Variable values construct a new series of quantum integrable inhomogeneous models. Fixed but different values at different lattice sites can produce a novel class of integrable hybrid models including integrable matter-radiation models and quantum field models with defects, in particular, a new quantum integrable sine-Gordon model with defect.Comment: 13 pages, revised and bit expanded with additional explanations, accepted for publication in Theor. Math. Phy

Complete Agenesis of the Dorsal Pancreas: Case Report with Imaging Findings and Review of the Literature

No Abstrac

Understanding of Calveria Marmas w.s.r. Sirogata Marmas - An Modern Prospective

The word Marma (vital area) was first time described in the Hindu scripture Atharvana Veda. During the Vedic period, the knowledge of the human body was important part of military science. The knowledge was applied in war, medicine and surgery. The science of Marma was developed by physicians and surgeons of Vedic period to prevent death and treat the people suffering from trauma and also to attach on enemy in war. However, there are some narration in Ayurvedic texts which indicates the therapeutic fact of marma such as, The effect of massage and medicines applied to foot sole are carried by special Siras to nourished the eyes, therefore one willing to get good eyesight and health should protect the sole. Urdhavajatrugata part is a very important part of the body and Shiro (head) is most important part as told by Acharya Charka and referred as Uttamanga because it contains all the five intellectual senses and seat of Prana (vital energy). Sirogata Marmas are either Vaikalyakara (causes deformity) or Sadhyapranahara (lead sudden death), so it is important to know the constituents and position of Marma to protect from injury with the help of modern anatomy expertise. In this article it has been tried to explore structure forming the vital point for better understanding about marma pathology and treatment in present scinerio

Quantum integrable multi atom matter-radiation models with and without rotating wave approximation

New integrable multi-atom matter-radiation models with and without rotating wave approximation (RWA) are constructed and exactly solved through algebraic Bethe ansatz. The models with RWA are generated through ancestor model approach in an unified way. The rational case yields the standard type of matter-radiaton models, while the trigonometric case corresponds to their q-deformations. The models without RWA are obtained from the elliptic case at the Gaudin and high spin limit.Comment: 9 pages, no figure, talk presented in int. conf. NEEDS04 (Gallipoli, Italy, July 2004

A Deep Look at the T-Type Brown Dwarf Binary ϵ\epsilon Indi Bab with Chandra and ATCA

We present deep observations of the nearby T-type brown dwarf binary $\epsilon$ Indi Bab in radio with the Australia Telescope Compact Array and in X-rays with the Chandra X-ray Observatory. Despite long integration times, the binary (composed of T1 and T6 dwarfs) was not detected in either wavelength regime. We reached $3\sigma$ upper limits of $1.23 \times 10^{12}$ and $1.74 \times 10^{12}$ erg/s/Hz for the radio luminosity at 4.8 GHz and 8.64 GHz, respectively; in the X-rays, the upper limit in the $0.1-10$ keV band was $3.16 \times 10^{23}$ erg/s. We discuss the above results in the framework of magnetic activity in ultracool, low-mass dwarfs.Comment: Accepted for publication in the Astrophysical Journal Letter

Exact solution of Calogero model with competing long-range interactions

An integrable extension of the Calogero model is proposed to study the competing effect of momentum dependent long-range interaction over the original {1 \ov r^2} interaction. The eigenvalue problem is exactly solved and the consequences on the generalized exclusion statistics, which appears to differ from the exchange statistics, are analyzed. Family of dual models with different coupling constants is shown to exist with same exclusion statistics.Comment: Revtex, 6 pages, 1 figure, hermitian variant of the model included, final version to appear in Phys. Rev.

Static solitons with non-zero Hopf number

We investigate a generalized non-linear O(3) $\sigma$-model in three space dimensions where the fields are maps $S^3 \mapsto S^2$. Such maps are classified by a homotopy invariant called the Hopf number which takes integer values. The model exhibits soliton solutions of closed vortex type which have a lower topological bound on their energies. We explicitly compute the fields for topological charge 1 and 2 and discuss their shapes and binding energies. The effect of an additional potential term is considered and an approximation is given for the spectrum of slowly rotating solitons.Comment: 13 pages, RevTeX, 7 Postscript figures, minor changes have been made, a reference has been corrected and a figure replace

Algebraic approach in unifying quantum integrable models

A novel algebra underlying integrable systems is shown to generate and unify a large class of quantum integrable models with given $R$-matrix, through reductions of an ancestor Lax operator and its different realizations. Along with known discrete and field models a new class of inhomogeneous and impurity models are obtained.Comment: Revtex, 6 pages, no figure, revised version to be published in Phys. Rev. Lett., 199