Zobrazeno 1 - 10
of 38
pro vyhledávání: '"Sinha, Debdeep"'
Autor:
Basu-Mallick, B., Sinha, Debdeep
A coupled bosonic massive Thirring model (BMTM), involving an interaction between the two independent spinors, is introduced and shown to be integrable. By incorporating suitable reductions between the field components of the coupled BMTM, five novel
Externí odkaz:
http://arxiv.org/abs/2307.00351
Autor:
Sinha, Debdeep
Publikováno v:
Physics Letters A 448, 128338 (2022)
The local and non-local vector Non-linear Schrodinger Equation (NLSE) with a general cubic non-linearity are considered in presence of a linear term characterized, in general, by a non-hermitian matrix which under certain condition incorporates balan
Externí odkaz:
http://arxiv.org/abs/2112.11926
Quantum entanglement, induced by spatial noncommutativity, is investigated for an anisotropic harmonic oscillator. Exact solutions for the system are obtained after the model is re-expressed in terms of canonical variables, by performing a particular
Externí odkaz:
http://arxiv.org/abs/2006.16528
Autor:
Sinha, Debdeep, Ghosh, Pijush K.
Publikováno v:
Annals of Physics 400 (2019) 109-127
A Hamiltonian formulation of generic many-particle systems with space-dependent balanced loss and gain coefficients is presented. It is shown that the balancing of loss and gain necessarily occurs in a pair-wise fashion. Further, using a suitable cho
Externí odkaz:
http://arxiv.org/abs/1804.02366
Autor:
Sinha, Debdeep, Ghosh, Pijush K.
Publikováno v:
J. Phys. A: Math. Theor. 52, 505203 (2019)
The quantization of many-body systems with balanced loss and gain is investigated. Two types of models characterized by either translational invariance or rotational symmetry under rotation in a pseudo-Euclidean space are considered. A partial set of
Externí odkaz:
http://arxiv.org/abs/1709.09648
Autor:
Ghosh, Pijush K., Sinha, Debdeep
Publikováno v:
Annals of Physics 388 (2018) 276-304
A Hamiltonian formulation of generic many-body systems with balanced loss and gain is presented. It is shown that a Hamiltonian formulation is possible only if the balancing of loss and gain terms occur in a pairwise fashion. It is also shown that wi
Externí odkaz:
http://arxiv.org/abs/1707.01122
Autor:
Sinha, Debdeep, Ghosh, Pijush K.
Publikováno v:
Eur. Phys. J. Plus (2017) 132: 460
A two body rational Calogero model with balanced loss and gain is investigated. The system yields a Hamiltonian which is symmetric under the combined operation of parity (P) and time reversal (T ) symmetry. It is shown that the system is integrable a
Externí odkaz:
http://arxiv.org/abs/1705.03426
Autor:
Sinha, Debdeep, Ghosh, Pijush K.
Publikováno v:
Physics Letters A 381, 124-128 (2017)
A two component nonlocal vector nonlinear Schr\"odinger equation (VNLSE) is considered with a self-induced $ {\cal PT}$ symmetric potential. It is shown that the system possess a Lax pair and an infinite number of conserved quantities and hence integ
Externí odkaz:
http://arxiv.org/abs/1506.03036
Akademický článek
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Autor:
Sinha, Debdeep, Ghosh, Pijush K.
Publikováno v:
Phys. Rev. E 91 042908 (2015)
A class of non-local non-linear Schrodinger equations(NLSE) is considered in an external potential with space-time modulated coefficient of the nonlinear interaction term as well as confining and/or loss-gain terms. This is a generalization of a rece
Externí odkaz:
http://arxiv.org/abs/1408.0954