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20102023
most citedLevel density distribution for one-dimensional vertex models related to Haldane-Shastry like spin chains

7 citations · 18 across the 6 of their papers we have counts for

collaborators

6 papers

cs.DS2023

Similarity analysis of DNA sequences through local distribution of nucleotides in strategic neighborhood

Probir Mondal, Pratyay Banerjee, Debranjan Pal +1

We propose a new alignment-free algorithm by constructing a compact vector representation on of a DNA sequence of arbitrary length. Each component of this vector…

quant-ph2019

Construction of a few Quantum mechanical Hamiltonians via Lvi-Leblond type Linearization:Spinor states and Supersymmetry

Arindam Chakraborty, Bhaskar Debnath, Ritaban Datta +1

A number of new Lvi-Leblond type equations admitting four component spinor solutions have been proposed. The pair of linearized equations thus obtained in each case lead…

cond-mat.stat-mech2015★ 3 cited

Supersymmetric analogue of BC_N type rational integrable models with polarized spin reversal operators

P. Banerjee, B. Basu-Mallick, N. Bondyopadhaya +1

We derive the exact spectra as well as partition functions for a class of type of spin Calogero models, whose Hamiltonians are constructed by using supersymmetric analogues…

cond-mat.stat-mech2014★ 5 cited

Partition functions of Polychronakos like spin chains associated with polarized spin reversal operators

B. Basu-Mallick, Nilanjan Bondyopadhaya, Pratyay Banerjee

We construct polarized spin reversal operator (PSRO) which yields a class of representations for the type of Weyl algebra, and subsequently use this PSRO to find out novel e…

cond-mat.stat-mech2011★ 7 cited

Level density distribution for one-dimensional vertex models related to Haldane-Shastry like spin chains

Pratyay Banerjee, B. Basu-Mallick

The energy level density distributions of some Haldane-Shastry like spin chains associated with the root system have been computed recently by Enciso et al., exploiting t…

nlin.SI2010★ 3 cited

Exact solution of type quantum Calogero model through a mapping to free harmonic oscillators

Pratyay Banerjee, B. Basu-Mallick

We solve the eigenvalue problem of the type of Calogero model by mapping it to a set of decoupled quantum harmonic oscillators through a similarity transformation. In particu…