4 citations · 16 across the 9 of their papers we have counts for
9 papers
Nonlinearity-induced transition in heat conduction through a topological metamaterial of rotors
T. R. Vishnu, Dibyendu Roy
We investigate heat conduction in a one-dimensional chain of rigid rotors. The rotors are constrained to rotate in a plane about fixed pivot points and coupled by springs, such tha…
From Chiral Topological Dynamics to Chiral Topological Amplification: Real vs Imaginary Parameters in a Hermitian Bosonic Chain
Kiran Babasaheb Estake, T. R. Vishnu, Dibyendu Roy
We propose a Hermitian quadratic bosonic model (QBH) whose dynamical matrix exhibits distinct topological and dynamical phenomena depending on whether the hopping and pairing ampli…
Heat transport through an open coupled scalar field theory hosting stability-to-instability transition
T. R. Vishnu, Dibyendu Roy
We investigate heat transport through a one-dimensional open coupled scalar field theory, depicted as a network of harmonic oscillators connected to thermal baths at the boundaries…
Screwon spectral statistics and dispersion relation in the quantum Rajeev-Ranken model
Govind S. Krishnaswami, T. R. Vishnu
The Rajeev-Ranken (RR) model is a Hamiltonian system describing screw-type nonlinear waves (screwons) of wavenumber in a scalar field theory pseudodual to the 1+1D SU(2) princi…
Spectral solutions for the Schrödinger equation with a regular singularity
Pushkar Mohile, Ayaz Ahmed, T. R. Vishnu +1
We propose a modification in the Bethe-like ansatz to reproduce the hydrogen atom spectrum and the wave functions. Such a proposal provided a clue to attempt the exact quantization…
Quantum Rajeev-Ranken model as an anharmonic oscillator
Govind S Krishnaswami, T R Vishnu
The Rajeev-Ranken (RR) model is a Hamiltonian system describing screw-type nonlinear waves of wavenumber in a scalar field theory pseudodual to the 1+1D SU(2) principal chiral…
Integrability and dynamics of the Rajeev-Ranken model
T R Vishnu
This thesis concerns the dynamics and integrability of the Rajeev-Ranken (RR) model, a mechanical system with 3 degrees of freedom describing screw-type nonlinear wave solutions of…
An introduction to Lax pairs and the zero curvature representation
Govind S. Krishnaswami, T. R. Vishnu
Lax pairs are a useful tool in finding conserved quantities of some dynamical systems. In this expository article, we give a motivated introduction to the idea of a Lax pair of mat…
Invariant tori, action-angle variables and phase space structure of the Rajeev-Ranken model
Govind S. Krishnaswami, T. R. Vishnu
We study the classical Rajeev-Ranken model, a Hamiltonian system with three degrees of freedom describing nonlinear continuous waves in a 1+1-dimensional nilpotent scalar field the…