Anjan Kundu

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A new integrable class of quantum models representing a family of different discrete-time or relativistic generalisations of the periodic Toda chain (TC), including that of a recently proposed classical close to TC model [7] is presented. All such models are shown to be obtainable from a single ancestor model at different realisations of the underlying(More)
A scheme suitable for describing quantum nonultralocal models including supersym-metric ones is proposed. Braided algebras are generalised to be used through Baxteri-sation for constructing braided quantum Yang–Baxter equations. Supersymmetric and some known nonultralocal models are derived in the framework of the present approach.
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)
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 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(More)
Received XXX 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(More)
Short Title: Solitons in deformed KdV and its twofold integrable hierarchy Abstract Recently proposed nonholonomic deformation of the KdV equation is solved through inverse scattering method by constructing AKNS type Lax pair. Exact N-soliton solution is found showing unusual ac(de)celerated motion. Twofold integrable hierarchy is revealed, one with usual(More)
A lattice version of quantum nonlinear Schrodinger (NLS) equation is considered, which has significantly simple form and fullfils most of the criteria desirable for such lattice variants of field models. Unlike most of the known lattice NLS, the present model belongs to a class which does not exhibit the usual symmetry properties. However this lack of(More)
The concept of the nonholonomic deformation formulated recently for the AKNS family is extended to the Kaup-Newell class. Applying this construction we discover a novel mixed integrable hierarchy related to the deformed derivative nonlinear Schrödinger (DNLS) equation and found the exact soliton solutions exhibiting unusual accelerating motion for both its(More)