4 papers
Lax pairs and -matrices for some two-dimensional isotropic oscillators
Govind S. Krishnaswami, Garima Rajpoot, Srividya N. Vaidya
This paper concerns Lax pairs for circularly symmetric harmonic, Fock-Darwin-type and quartic anharmonic oscillators in two dimensions. Although the 2d isotropic harmonic oscillato…
Symbol sequences from three-rotor coincidences and their word-complexity
Govind S. Krishnaswami, Anirudh Rameshan
In the three-rotor problem, three equally massive point particles move on a circle interacting via attractive pairwise cosine potentials. Rotors can represent superconducting phase…
Level crossing instabilities in inviscid isothermal compressible Couette flow
Govind S. Krishnaswami, Sonakshi Sachdev, Pritish Sinha
We study the linear stability of inviscid steady parallel flow of an ideal gas in a channel of finite width. Compressible isothermal two-dimensional monochromatic perturbations are…
Quantum three-rotor problem in the identity representation
Govind S. Krishnaswami, Himalaya Senapati
The quantum three-rotor problem concerns the dynamics of 3 equally massive particles moving on a circle subject to pairwise attractive cosine potentials and can model coupled Josep…