384 citations · 5.4k across the 154 of their papers we have counts for
5 papers · 1 filter
Generalised Jordan map, symplectic transformations and Dirac's representation of the 3 + 2 de Sitter group
Rabin Banerjee
In his 1963 paper, Dirac [1] gave `A Remarkable Representation of the 3 + 2 de- Sitter Group'. We reproduce this representation using a generalised Jordan map which is motivated by…
symmetry and a dynamical realization of the SU(1,1) algebra
Rabin Banerjee, Pradip Mukherjee
We show that the elementary modes of the planar harmonic oscillator can be quantised in the framework of quantum mechanics based on pseudo-hermitian hamiltonians. These quantised m…
The Harmonic Oscillator in the Plane and the Jordan-Schwinger Algebras
Rabin Banerjee, Pradip Mukherjee
The direct and indirect Lagrangian representations of the planar harmonic oscillator have been discussed. The reduction of these Lagrangians in their basic forms characterising eit…
A Canonical Approach to the Quantization of the Damped Harmonic Oscillator
Rabin Banerjee, Pradip Mukherjee
We provide a new canonical approach for studying the quantum mechanical damped harmonic oscillator based on the doubling of degrees of freedom approach. Explicit expressions for La…
Quantization of the multidimensional rotor
E. Abdalla, R. Banerjee
We reconsider the problem of quantising a particle on the -dimensional sphere. Adopting a Lagrangian method of reducing the degrees of freedom, the quantum Hamiltonian is found…