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- Arunabha Sen, Pavel Ghosh, Tiffany Silva, Nibedita Das, Anjan Kundu
- ArXiv
- 2010

The U.S. Air Force currently is in the process of developing an Airborne Network (AN) to provide support to its combat aircrafts on a mission. The reliability needed for continuous operation of an AN is difficult to achieve through completely infrastructure-less mobile ad hoc networks. In this paper we first propose an architecture for an AN where airborne… (More)

A scheme suitable for describing quantum nonultralocal models including supersymmetric ones is proposed. Braided algebras are generalised to be used through Baxterisation for constructing braided quantum Yang–Baxter equations. Supersymmetric and some known nonultralocal models are derived in the framework of the present approach. ∗ Postal address: Břehová… (More)

- Anjan Kundu, Bidhan Nagar
- 1995

A lattice regularized Lax operator for the nonultralocal modified Korteweg de Vries (mKdV) equation is proposed at the quantum level with the basic operators satisfying a q-deformed braided algebra. Finding further the associated quantum R and Z-matrices the exact integrability of the model is proved through the braided quantum Yang–Baxter equation, a… (More)

- Anjan Kundu, Bidhan Nagar, Calcutta
- 1996

Various aspects of the theory of quantum integrable systems are reviewed. Basic ideas behind the construction of integrable ultralocal and nonultralocal quantum models are explored by exploiting the underlying algebraic structures related to the Yang–Baxter equations. Physical meaning of abstract mathematical notions like universal R-matrix, quantized… (More)

- Ismagil Habibullin, Anjan Kundu, Bidhan Nagar
- 2008

Defects which are predominant in a realistic model, usually spoil its integrability or solvability. We on the other hand show the exact integrability of a known sine-Gordon field model with a defect (DSG), at the classical as well as at the quantum level based on the Yang-Baxter equation. We find the associated classical and quantum R-matrices and the… (More)

We explore a nonlocal connection between certain linear and nonlinear ordinary differential equations (ODEs), representing physically important oscillator systems, and identify a class of integrable nonlinear ODEs of any order. We also devise a method to derive explicit general solutions of the nonlinear ODEs. Interestingly, many well known integrable… (More)

- B. Basu-Mallick, Anjan Kundu, Bidhan Nagar
- 2008

An integrable extension of the Calogero model is proposed to study the competing effect of momentum dependent long-range interaction over the original 1 r 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… (More)

- Anjan Kundu
- 2008

PACS: 02.30.lk, 02.30.jr, 05.45.Yv, 11.10.Lm,

- B. Basu-Mallick, Tanaya Bhattacharyya, +4 authors Bhabani Prasad Mandal

Here we discuss two many-particle quantum systems, which are obtained by adding some nonhermitian but PT (i.e. combined parity and time reversal) invariant interaction to the Calogero model with and without confining potential. It is shown that the energy eigenvalues are real for both of these quantum systems. For the case of extended Calogero model with… (More)

- Anjan Kundu, Bidhan Nagar
- 2008

One of the few schemes for obtaining an integrable nonultralocal quantum model is its possible generation from an ultralocal model by a suitable gauge transformation. Applying this scheme we discover two new nonultralocal models, which fit well into the braided Yang-Baxter relations ensuring their quantum integrability. Our first model is generated from a… (More)