11 citations · 29 across the 12 of their papers we have counts for
12 papers
Sum of Three Squares and Particle in a Cubic Box - Degeneracies
S. Pratik Khastgir
We address the problem of determining the degeneracy of a particular energy eigenvalue corresponding to a quantum particle trapped in a cubic box. In other words, we aim to find th…
Non-Floquet oscillations of a parametrically driven rigid planar pendulum
Rebeka Sarkar, Krishna Kumar, Sugata Pratik Khastgir
The linear and nonlinear motions of a damped rigid planar pendulum, driven by vibrating its pivot sinusoidally, are reexamined. The pendulum is known to exhibit periodic, quasiperi…
Motion of a parametrically driven damped coplanar double pendulum
Rebeka Sarkar, Krishna Kumar, Sugata Pratik Khastgir
We present the results of linear stability of a damped coplanar double pendulum and its non-linear motion, when the point of suspension is vibrated sinusoidally in the vertical dir…
Instability of a horizontal water half-cylinder under vertical vibration
Dilip Kumar Maity, Krishna Kumar, Sugata Pratik Khastgir
We present the results of an experimental investigation on parametrically driven waves in a water half-cylinder on a rigid horizontal plate, which is sinusoidally vibrated in the v…
From Classical Periodic Orbits in Integrable -Rational Billiards to Quantum Energy Spectrum
Subhasis Panda, Sabyasachi Maulik, Somdeb Chakraborty +1
In the present note, we uncover a remarkable connection between the length of periodic orbit of a classical particle enclosed in a class of 2-dimensional planar billiards and the e…
Metric deformation and boundary value problems in 3D
Subhasis Panda, S. Pratik Khastgir
A novel perturbative method, proposed by Panda {\it et al.} [1] to solve the Helmholtz equation in two dimensions, is extended to three dimensions for general boundary surfaces. Al…