13 citations · 40 across the 6 of their papers we have counts for
7 papers
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…
Instabilities and chaos in the classical three-body and three-rotor problems
Himalaya Senapati
This thesis studies instabilities and singularities in a geometrical approach to the planar 3-body problem as well as instabilities, chaos and ergodicity in the 3-rotor problem. Tr…
Ergodicity, mixing and recurrence in the three rotor problem
Govind S. Krishnaswami, Himalaya Senapati
In the classical three rotor problem, three equal point masses move on a circle subject to attractive cosine potentials of strength g. In the center of mass frame, energy E is the…
An introduction to the classical three-body problem: From periodic solutions to instabilities and chaos
Govind S. Krishnaswami, Himalaya Senapati
The classical three-body problem arose in an attempt to understand the effect of the Sun on the Moon's Keplerian orbit around the Earth. It has attracted the attention of some of t…
Classical three rotor problem: periodic solutions, stability and chaos
Govind S. Krishnaswami, Himalaya Senapati
This paper concerns the classical dynamics of three coupled rotors: equal masses moving on a circle subject to attractive cosine inter-particle potentials. It is a simpler variant…
Stability and chaos in the classical three rotor problem
Govind S. Krishnaswami, Himalaya Senapati
We study the equal-mass classical three rotor problem, a variant of the three body problem of celestial mechanics. The quantum -rotor problem has been used to model chains of co…
Curvature and geodesic instabilities in a geometrical approach to the planar three-body problem
Govind S. Krishnaswami, Himalaya Senapati
The Maupertuis principle allows us to regard classical trajectories as reparametrized geodesics of the Jacobi-Maupertuis (JM) metric on configuration space. We study this geodesic…