36 citations · 92 across the 10 of their papers we have counts for
10 papers
A Quantum Approach to the Continuum Heisenberg Spin-Chain Model: Position-Dependent Mass Formalism and Pre-canonical Quantization
V. Chithiika Ruby, M. Lakshmanan
Painlevé's singularity structure analysis, combined with stereographic mapping, has previously been applied to a one-dimensional Heisenberg spin-chain continuum model which identif…
Quantum solvability of a nonlinear -type mass profile system: Coupling constant quantization
V. Chithiika Ruby, V. K. Chandrasekar, M. Lakshmanan
In this paper, we discuss the quantum dynamics of a nonlinear system that admits temporally localized solutions at the classical level. We consider a general ordered position-depen…
Quantum solvability of a general ordered position dependent mass system: Mathews-Lakshmanan oscillator
S. Karthiga, V. Chithiika Ruby, M. Senthilvelan +1
In position dependent mass (PDM) problems, the quantum dynamics of the associated systems have been understood well in the literature for particular orderings. However, no efforts…
Removal of ordering ambiguity for a class of position dependent mass quantum systems with an application to the quadratic Liénard type nonlinear oscillators
V. Chithiika Ruby, V. K. Chandrasekar, M Senthilvelan +1
We consider the problem of removal of ordering ambiguity in position dependent mass quantum systems characterized by a generalized position dependent mass Hamiltonian which general…
Photon modulated coherent states of a generalized isotonic oscillator by Weyl ordering and their non-classical properties
V. Chithiika Ruby, M. Senthilvelan
We construct photon modulated coherent states of a generalized isotonic oscillator by expanding the newly introduced superposed operator through Weyl ordering method. We evaluate t…
Ladder operators and squeezed coherent states of a 3-dimensional generalized isotonic nonlinear oscillator
V. Chithiika Ruby, S. Karthiga, M. Senthilvelan
We explore squeezed coherent states of a 3-dimensional generalized isotonic oscillator whose radial part is the newly introduced generalized isotonic oscillator whose bound state s…